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De Cadedif

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-	== Publicaciones 2002  ==	+	== Publicaciones en revistas internacionales  ==
-	#J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction” Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).	+	=== Año 2002  ===
-	#X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)	+	# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction”''' '''''Fields Inst. Commun.'', 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).''' '''<br/>
-	#R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition” Math. Models and Methods in Applied Sciences, 12, 461--483, 2002	+
-	R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of	+	# X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model”'' Journal of Differential Equations'' 182 pp. 219-265 (2002)<br/>
-	Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T.	+
-	M. A., 50, 495--507, 2002	+
-	R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear	+	# R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition”'' Math. Models and Methods in Applied Sciences'', 12, 461--483, 2002<br/>
-	inwards and outwards boundary-flux for nonlinear heat equations”	+
-	Journal of Differential Equation, 184, 259--282, 2002	+
-	A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a	+	# R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of Asymptotic Profiles for and extinction Problem”'' Nonlinear Analysis T. M. A.'', 50, 495--507, 2002<br/>
-	phase field model in higher order Sobolev spaces. Rev. Mat. Complut.,	+
-	15(1):213-248, 2002.	+
-	A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary	+	# R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear inwards and outwards boundary-flux for nonlinear heat equations” ''Journal of Differential Equation'', 184, 259--282, 2002<br/>
-	conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg.,	+
-	12(11):2333-2342. Spatio-temporal complexity. (2002)	+
-	A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear	+	# A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a phase field model in higher order Sobolev spaces. ''Rev. Mat. Complut.'', 15(1):213-248, 2002.<br/>
-	boundary conditions, critical exponents, and singular initial data. J.	+
-	Differential Equations, 181(1):165-196, 2002.	+
-	R. Dager, E. Zuazua “Spectral boundary controllability of networks of	+	# A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. ''Internat. J. Bifur. Chaos Appl. Sci. Engrg.'', 12(11):2333-2342. Spatio-temporal comp lexity. (2002)<br/>
-	strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)	+
-	== Publicaciones 2003  ==	+	# A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. ''J. Differential Equations,'' 181(1):165-196, 2002.<br/>
		+	# R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)<br/>
-	J. Fernández Bonder, R. Ferreira y J. D. Rossi,  “Uniform bounds for	+	=== Año 2003 ===
-	the best Sobolev trace constant” Advanced Nonlinear Studies, 3,	+
-	181--192, 2003	+
-	R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up	+	# J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for the best Sobolev trace constant” ''Advanced Nonlinear Studies'', 3, 181--192, 2003<br/>
-	profile for a fast diffusion equation with a nonlinear  boundary	+
-	condition” Rocky Mountain J. Math, 33, 123--146, 2003	+
-	R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast	+	# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up profile for a fast diffusion equation with a nonlinear boundary condition” ''Rocky Mountain J. Math,'' 33, 123--146, 2003<br/>
-	difusión equation”	+
-	Advances in Differential Equations, 8, 1125--1152, 2003	+
-	R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme	+	# R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation”
-	for a parabolic problem with blow-up” IMA Journal of Numerical	+	# ''Advances in Differential Equations'', 8, 1125--1152, 2003<br/>
-	Análisis, 23, 439--463, 2003	+
-	M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a	+	# R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme for a parabolic problem with blow-up”'' IMA Journal of Numerical Análisis'', 23, 439--463, 2003<br/>
-	discrete 1-D wave equation” , System and Control Letters, 48, Issues	+
-	3-4 pp 261-279 (2003)	+
-	M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave	+	# M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a discrete 1-D wave equation” , ''System and Control Letters'', 48, Issues 3-4 pp 261-279 (2003)<br/>
-	equation” Proceedings of the Sixth International Conference on	+
-	Mathematical and Numerical Aspects of Wave Propagation, Waves 2003,	+
-	Physcis and Astronomy,  pp. 213-217, Springer  (2003)	+
-	R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de	+	# M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave equation” Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, Physcis and Astronomy, pp. 213-217, Springer (2003)<br/>
-	Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)	+
-	== Publicaciones 2004  ==	+	# R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)<br/>
-	J.M. Arrieta  "El Cálculo y la Modelización Matemática", en R.
-	Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y
-	Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto
-	Superior de Formación del Profesorado, Ministerio de Educación y
-	Ciencia,
-	pp 11-57 (2004)
-	J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear	+	=== Año 2004 ===
-	Dynamics for Reaction-Diffusion Equations under Perturbations of the	+
-	Domain" Journal of Diff.  Equations 199, pp. 143-178 (2004)	+
-	J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,	+	# J.M. Arrieta "El Cálculo y la Modelización Matemática", en R. Rodríguez, E. Zuazua, ''De la Aritmética al Análisis: Historia y Desarrollo reciente en Matemáticas,'' Aulas de Verano, Instituto Superior de Formación del Profesorado, Ministerio de Educación y Ciencia,pp 11-57 (2004)<br/>
-	"Asymptotic Behavior and Attractors for Reaction Diffusion Equations	+
-	in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554  (2004)	+
-	J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers	+	# J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations under Perturbations of the Domain" ''Journal of Diff. Equations ''199, pp. 143-178 (2004)<br/>
-	in a diffusion problem with nonlinear reaction at the boundary" Z..	+
-	Angew. Math. Phys. 55, pp. 1-14 (2004)	+
-	J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,	+	# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Asymptotic Behavior and Attractors for Reaction Diffusion Equations in Unbounded Domains" ''Nonlinear Analysis, ''56, pp. 515-554 (2004) <br/>
-	"Linear parabolic equations in locally uniform spaces" Mathematical	+
-	Models and Methods in Applied Sciences, 14, n. 2,  253-294 (2004)	+
-	J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of	+	# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary" ''Z.. Angew. Math. Phys. ''55, pp. 1-14 (2004) <br/>
-	Global Solutions for Nonlinear Parabolic Equations involving Gradient	+
-	Blow-up Phenomena" Annali della Scuola Normale Superiore di Pisa,	+
-	Classe di Scienze. Issue 1, Volume 3/2004, Series 5,  pp 1-15,  (2004)	+
-	J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of	+	# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Linear parabolic equations in locally uniform spaces" ''Mathematical Models and Methods in Applied Sciences'', 14, n. 2, 253-294 (2004)<br/>
-	blow-up for reaction-diffusion equations with nonlinear boundary	+
-	conditions" Communications in Partial Differential Equations 29, 7&8,	+
-	pp. 1127-1148 (2004)	+
-	J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic	+	# J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of Global Solutions for Nonlinear Parabolic Equations involving Gradient Blow-up Phenomena" ''Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. ''Issue 1, Volume 3/2004, Series 5,  pp 1-15,  (2004) <br/>
-	equations with supercritical nonlinearities" Communications in	+
-	Contemporary Mathematics 6, n 5,  pp.  733-764 (2004)	+
-	E. Chasseigne y R.Ferreira, “Monotone approximations of Green	+	# J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions" ''Communications in Partial Differential Equations'' 29, 7&8, pp. 1127-1148 (2004) <br/>
-	functions” Comptes Rendus Mathématique. Académie des Sciences. Paris,	+
-	339, 395--400, 2004	+
-	R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the	+	# J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic equations with supercritical nonlinearities" ''Communications in Contemporary Mathematics'' 6, n 5, pp. 733-764 (2004)<br/>
-	porous medium equation with a source” Numerical Methods for Partial	+
-	Differential Eq, 20, 552--575, 2004	+
-	R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast	+	# E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” ''Comptes Rendus Mathématique.'' Académie des Sciences. Paris, 339, 395--400, 2004<br/>
-	quenching” Journal Differential Equations, 199, 189--209, 2004	+
-	M. Negreanu, E. Zuazua “Discrete Ingham inequalities and	+	# R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the porous medium equation with a source”'' Numerical Methods for Partial Differential Eq,'' 20, 552--575, 2004<br/>
-	applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)	+
-	L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave	+	# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching”'' Journal Differential Equations'', 199, 189--209, 2004<br/>
-	equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh	+
-	Sect. A, 134(2):389-413, 2004.	+
-	R. Dager, “Networks of strings: modelization and control of	+	# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''CRAS Paris'', Serie I. Math 338 pp 281-286 (2004)<br/>
-	vibrations”, e-STA, vol 1, (2004)	+
-	R. Dager, “Observation and control of vibrations in tree-shaped	+	# L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave equation with dynamic boundary conditions. ''Proc. Roy. Soc. Edinburgh ''Sect. A, 134(2):389-413, 2004.<br/>
-	networks of strings” SIAM Journal on Control and Optimization 43,	+
-	590-623, (2004)	+
-	== Publicaciones 2005  ==	+	# R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)<br/>
-	J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with	+	# R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)<br/>
-	supercritical nonlinearities''. International Conference on	+
-	Differential Equations (EQUADIFF'03) Hasselt, Belgium. World	+
-	Scientific, pp 277 280,  (2005) ,	+
-	J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous
-	flux condition as limit of localized reactions''.  International
-	Conference on Differential  Equations (EQUADIFF'03) Hasselt, Belgium.
-	World Scientific, pp 293-295, (2005),
-	J.M. Arrieta, S. M. Bruschi  "Problemas de valor de fronteira em	+	== Año 2005 ==
-	domínios com oscilaçōes na fronteira", Seminario Brasileiro de	+
-	Análise, Edición nº 62, Noviembre (2005),	+
-	R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El
-	problema matemático de explosión para ecuaciones y sistemas  de
-	reacción difusión” Boletín de la Soc. Española de Matemática Aplicada,
-	32, 75-111, 2005
-	P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in	+	# J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with supercritical nonlinearities''. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277 280, (2005) , <br/>
-	parabolic problems with nonlinear boundary conditions. Nonlinear Anal.	+
-	TMA, 62(5):863-875, (2005).	+
-	A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and	+	# J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous flux condition as limit of localized reactions''. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005), <br/>
-	asymptotic behavior of parabolic nonlinear reaction-diffusion	+
-	equations. In Nonlinear elliptic and parabolic problems: A Special	+
-	Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear	+
-	Differential Equations Appl., pages 509-516. Birkhäuser, Basel,	+
-	(2005).	+
-	A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In	+	# J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", ''Seminario Brasileiro de Análise,'' Edición nº 62, Noviembre (2005), <br/>
-	Nonlinear elliptic and parabolic problems, volume 64 of Progr.	+
-	Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser,	+
-	Basel, (2005).	+
-	A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and	+	# R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción difusión” ''Boletín de la Soc. Española de Matemática Aplicada'', 32, 75-111, 2005<br/>
-	spatial homogenization in a non homogeneous linear parabolic problem.	+
-	Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).	+
-	R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the	+	# P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. ''Nonlinear Anal. TMA'', 62(5):863-875, (2005).<br/>
-	p-laplacian equation with a source”, Computational Methods in Applied	+
-	Mathematics 5, 137-154, (2005)	+
-	R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching	+	# A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In ''Nonlinear elliptic and parabolic problems: A Special Tribute to the Work of H. Amann.'', volume 64 of Progr. Nonlinear Differential Equations Appl., pages 509-516. Birkhäuser, Basel, (2005).<br/>
-	set for a fast diffusion equation.Regional quenching”, Proceedings of	+
-	the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)	+
		+	# A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In ''Nonlinear elliptic and parabolic problems,'' volume 64 of Progr. Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser, Basel, (2005).<br/>
-	A. Jiménez-Casas, “Metastable solutions for the thin-interface limit	+	# A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. ''Discrete Contin. Dyn. Syst.'' Ser. B, 5(2):385-410, (2005).<br/>
-	of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7,	+
-	963-970, (2005)	+
-	A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed	+	# R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the p-laplacian equation with a source”, ''Computational Methods in Applied Mathematics ''5, 137-154, (2005)<br/>
-	loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)	+
		+	# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching set for a fast diffusion equation.Regional quenching”'', Proceedings of the Royal Society of Edinburgh. Section A, ''135, 585—601, (2005)<br/>
-	== Publicaciones 2006 ==	+	# A. Jiménez-Casas, “Metastable solutions for the thin-interface limit of a phase-field model” ''Nonlinear Analysis'', ''Volume ''63, Issues 5-7, 963-970, (2005)<br/>
-	R. Dager, E. Zuazua, “Wave propagation, observation and control of	+	# A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)<br/>
-	1-D flexible multi-structures”, Mathematiques et Applications 50,	+
-	Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;	+
-	3-540-27239-9 [LIBRO DE INVESTIGACIÓN]	+
-	I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed
-	system” Nonlinearity 19,  1535-1551 (2006)
-	M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
-	applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I
-	(2006)  pp 412-4448
-	A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive	+	== Año 2006 ==
-	solutions of nonautonomous reaction-diffusion equations”, Bol. Soc.	+
-	Esp. Mat. Apl. 34, 99-104 (2006)	+
-	J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear
-	evolution equations with Lipschitz nonlinearity”. Jounal of
-	Differential Equations, Vol. 220 (2), 396–406 (2006).
-	J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear	+	# R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), <nowiki>x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]</nowiki>
-	Boundary Conditions", Comptes Rendus Mathematique, t. 343, Series I,	+
-	pp. 99-104 (2006)	+
-	J.M. Arrieta, A. Rodríguez-Bernal, J. Valero  "Dynamics of a	+	# I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” ''Nonlinearity'' 19, 1535-1551 (2006)<br/>
-	reaction-diffusion equation with a discontinuous nonlinearity",	+
-	International Journal of Bifurcation and Chaos 16,  n. 10,  pp.	+
-	2965-2984  (2006)	+
-	J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell	+	# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''SIAM Journal of Numerical Analysis,'' Volume 44, Issue I (2006) pp 412-4448<br/>
-	domains I. Continuity of the set of equilibria" Journal of	+
-	Differential Equations 231, Issue 2, pp. 551-597, (2006),	+
-	R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up	+	# A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive solutions of nonautonomous reaction-diffusion equations”, ''Bol. Soc. Esp. Mat. Apl.'' 34, 99-104 (2006) <br/>
-	with nonlinear diffusion and localized reaction”, Journal Differential	+
-	Equations 231, 195—211, (2006)	+
-	R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an	+	# J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear evolution equations with Lipschitz nonlinearity”. ''Jounal of Differential Equations'', Vol. 220 (2), 396–406 (2006).<br/>
-	inhomogeneous porous médium equation with convection” Communications	+
-	in Partial Differential Equations , 31, 497—514, (2006)	+
-	R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate	+	# J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions",  ''Comptes Rendus Mathematique, ''t. 343, Series I, pp. 99-104 (2006)<br/>
-	diffusion problem not in divergence form”, Indiana University	+
-	Mathematics Journal , 55, 955—974, (2006)	+
-	R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi,  “Non-simultaneous	+	# J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity", ''International Journal of Bifurcation and Chaos'' 16, n. 10, pp. 2965-2984  (2006)<br/>
-	quenching in a system of heat equations coupled at the boundary”	+
-	Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594,	+
-	(2006).	+
-	R. Ferreira, A. de Pablo y J. L. Vázquez,  “Classification of blow-up	+	# J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell domains I. Continuity of the set of equilibria" ''Journal of Differential Equations ''231, Issue 2, pp. 551-597, (2006),<br/>
-	with nonlinear diffusion and localized reaction” Aparecerá en Journal	+
-	Differential Equations 231, 195-211 (2006)	+
-	R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be	+	# R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction”, ''Journal Differential Equations ''231, 195—211, (2006)<br/>
-	trapped”, Phys. Rev. Lett. 97, (2006).	+
-	R. Dager, A. Presa, “Duality of the space of germs of harmonic vector	+	# R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection”'' Communications in Partial Differential Equation''s , 31, 497—514, (2006)<br/>
-	fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22,	+
-	(2006)	+
-	R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM	+	# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate diffusion problem not in divergence form”, ''Indiana University Mathematics Journal '', 55, 955—974, (2006)<br/>
-	Journal on Control and Optimization 45, 1758-1768, (2006)	+
		+	# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous quenching in a system of heat equations coupled at the boundary”'' Zeitschrift fur Angewandte Mathematik und Physik '', 57, 586—594, (2006).<br/>
-	== Publicaciones 2007  ==	+	# R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction” Aparecerá en ''Journal Differential Equations ''231, 195-211 (2006)<br/>
-	J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability	+	# R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, ''Phys. Rev. Lett.'' 97, (2006). <br/>
-	of equilibria with asymptotically linear boundary conditions at	+
-	infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue	+
-	02,  225-252. (2007),	+
-	A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of	+	# R. Dager, A. Presa, “Duality of the space of germs of harmonic vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22, (2006)<br/>
-	reaction-diffusion equations and large diffusivity. Nonlinear Analisis	+
-	67, 70-93 (2007)	+
-	A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity	+	# R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)<br/>
-	properties of positive complete trajectories  for non-autonomous	+
-	reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567,	+
-	(2007)	+
-	J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal,  A. Suárez, A. Vidal,
-	“Existence and non-existence of unbounded forward attractor for a
-	class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn.
-	Systems 18, 483—497, (2007)
-	J.M. Arrieta, S.M. Bruschi “Rapidly varying  boundaries in equations	+	=== Año 2007 ===
-	with nonlinear boundary conditions. The case of a Lipschitz	+
-	deformation”, Mathematical Models and Methods in Applied Sciences 17,	+
-	nº 10 (2007)	+
-	R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic
-	nonlinearities”, Journal Differential Equations 240, Issue 1, Pages
-	196-215  (2007)
-	J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback	+	# J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity", ''Proc. of the Royal Society of Edinburgh A,'' Vol.137, Issue 02, 225-252. (2007),<br/>
-	attractors and extremal complete trajectories for non-autonomous	+
-	reaction-diffusion problems”, Journal of Differential Equations 238,	+
-	289-337 (2007)	+
-	U. Brauer, L. Karp, “Local existence of classical solutions of the	+	# A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. ''Nonlinear Analisis'' 67, 70-93 (2007)<br/>
-	Einstein-Euler system using weighted Sobolev spaces of fractional	+
-	order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)	+
-	J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability	+	# A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems”, ''Disc. Cont. Dyn. Systems ''18, 537--567, (2007)<br/>
-	of attractors for non-autonomous perturbation of gradient-like	+
-	systems”, Journal of Differential Equations 234, 605-627 (2007).	+
-	J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global	+	# J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal, “Existence and non-existence of unbounded forward attractor for a class of nonautonomous reaction diffusion equations”. ''Disc. Cont. Dyn. Systems ''18, 483—497, (2007)<br/>
-	boundedness of solutions of reaction diffusion equations with	+
-	nonlinear boundary conditions”, Proceedings of Equadiff 11,  Editors:	+
-	M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic	+
-	(2007). pp 1-7	+
-	J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type	+	# J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation”, ''Mathematical Models and Methods in Applied Sciences'' 17, nº 10 (2007)<br/>
-	conditions arising from concentrated potentials”, Proceedings of	+
-	Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,	+
-	P.Quittner and D.Sevcovic (2007).  pp 157-164	+
-	A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for	+	# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, ''Journal Differential Equations ''240, Issue 1, Pages 196-215 (2007)<br/>
-	the p-Laplacian equation with a nonlinear source” Proceedings of	+
-	Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,	+
-	P.Quittner and D.Sevcovic (2007).  pp 363-367	+
-	J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of	+	# J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems”, Journal of Differential Equations 238, 289-337 (2007)<br/>
-	reaction diffusion equations in R^N” Proceedings of Equadiff 11,	+
-	Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and	+
-	D.Sevcovic (2007),  pp 405-414.	+
-	A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for	+	# U. Brauer, L. Karp, “Local existence of classical solutions of the Einstein-Euler system using weighted Sobolev spaces of fractional order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)<br/>
-	parabolic non-linear reaction-diffusion equations”, Proceedings of	+
-	Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,	+
-	P.Quittner and D.Sevcovic (2007).  pp 531-539	+
-	J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,	+	# J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability of attractors for non-autonomous perturbation of gradient-like systems”, ''Journal of Differential Equations'' 234, 605-627 (2007). <br/>
-	"Dissipative parabolic equations in locally uniform spaces",	+
-	Mathematische Nachrichten 280, Issue 15 (2007)	+
		+	# J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7 <br/>
-	== Aceptados para publicación  ==	+	# J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type conditions arising from concentrated potentials”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 157-164 <br/>
-	J.M. Arrieta, “On boundedness of solutions of reaction-diffusion	+	# A. de Pablo, M. Pérez-Llanos and R. Ferreira''', “'''Numerical blow-up for the ''p''-Laplacian equation with a nonlinear source” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 363-367<br/>
-	equations with nonlinear boundary conditions”, Proceedings of the	+
-	American Mathematical Society	+
-	J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace	+	# J. M. Arrieta, N. Moya, A. Rodríguez-Bernal''', “'''Dissipative dynamics of reaction diffusion equations in ''R^N” ''Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007), pp 405-414.<br/>
-	constant as limit of the usual Sobolev constant for small strips near	+
-	the boundary", Proceedings of the Royal Society of Edinburgh A,	+
-	J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal, "Flux terms	+	# A. Rodríguez-Bernal and A. Vidal-López''', “'''Extremal equilibria for parabolic non-linear reaction-diffusion equations”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 531-539 <br/>
-	and Robin  boundary conditions as limit of reactions and potentials	+
-	concentrating in the boundary" Revista Matemática Iberoamericana	+
-	J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension	+	# J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Dissipative parabolic equations in locally uniform spaces", ''Mathematische Nachrichten ''280, Issue 15 (2007)<br/>
-	of attractors of parabolic problems  in $R^N$ with general	+
-	potentials", Nonlinear Analysis, Theory Methods  and Appications	+
-	M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a
-	nonlocal nonlinear diffusion operator. Continuous and discrete models”
-	Proceedings of the American Mathematical Society
-	M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion	+	== Aceptados para publicación  ==
-	equation with blowing up boundary conditions”, Journal of Mathematical	+
-	Analysis and Applications	+
-	A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground
-	states for nonlinear evolution equations in unbounded domains”,
-	Journal of Mathematical Analysis and Applications
-	A Jiménez Casas, “Invariant regions and global existence for a phase	+	# J.M. Arrieta, “On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions”, ''Proceedings of the American Mathematical Society''<br/>
-	field model”, Discrete and Cont. Dynam. Systems.	+
-		+
-	A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field	+
-	model” Mathematical Methods in the Applied Science.	+
-	Libros de investigación	+	# J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "[http://www.mat.ucm.es/%7Ejarrieta/papers/trace-constant.pdf The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary]", ''Proceedings of the Royal Society of Edinburgh A'',<br/>
-	R. Dager, E. Zuazua, “Wave propagation, observation and control of	+	# J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal, "[http://www.mat.ucm.es/%7Ejarrieta/papers/flux.pdf Flux terms  and Robin  boundary conditions as limit of reactions and potentials concentrating in the boundary]" ''Revista Matemática Iberoamericana'' <br/>
-	1-D flexible multi-structures”, Mathematiques et Applications 50,	+
-	Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;	+
-	3-540-27239-9	+
-	== Libros docentes ==	+	# J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "[http://www.mat.ucm.es/%7Ejarrieta/papers/dimension.pdf On the finite dimension of attractors of parabolic problems  in $R^N$ with general potentials]", Nonlinear'' Analysis, Theory Methods  and Appications''<br/>
-	S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”,	+	# M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models” ''Proceedings of the American Mathematical Society''<br/>
-	Editorial Síntesis. (En prensa)	+
-	R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y	+	# M. Bogoya,'' ''R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion equation with blowing up boundary conditions”,'' Journal of Mathematical Analysis and Applications''<br/>
-	desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia.	+
-	(ISBN: 84-369-3845-3).	+
		+	# A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground states for nonlinear evolution equations in unbounded domains”, ''Journal of Mathematical Analysis and Applications''<br/>
		+	# A'' ''Jiménez Casas, “Invariant regions and global existence for a phase field model”, ''Discrete and Cont. Dynam. Systems. ''<br/>
-	== Ponencias y Comunicaciones a Congresos  ==	+	# A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field model” ''Mathematical Methods in the Applied Science. ''<br/>
-	R. Ferreira
-	Conferencia Invitada “The balance between nonlinear reaction and
-	absorption at the boundary”
-	Congreso IV Pan-American Workshop in Applied and Computacional
-	Mathematics,  Cordoba (Argentina)  (2002)
-	M. Negreanu,	+	== Libros de investigación  ==
-	Ponencia: “Multi-grid filtering method”	+
-	Congreso: International Conference HMS2000 Midterm Review Heidelberg,	+
-	Heidlberg Alemania (2002)	+
-	R. Ferreira
-	Conferencia Invitada: “ Quenching Phenomena for a very fast difusión
-	equation”.
-	Congreso: First Workshop on Elliptic and Parabolic Partial
-	Differential Equations,  Santiago de Chile (Chile)  (2003)
-	J. Arrieta, R. Pardo, A. Rodríguez-Bernal,	+	* R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9
-	Ponencia: “Problemas Elipticos con condiciones de contorno	+
-	asintoticamente lineales en infinito”	+
-	Congreso: XVIII CEDYA, Tarragona (2003)	+
-	J.M. Arrieta, A. Rodríguez-Bernal	+	== Libros docentes ==
-	Conferencia Invitada: “Non-well posedness of parabolic equations with	+
-	supercritical nonlinearities”	+
-	Congreso:  EQUADIFF 2003, Hasselt Belgica, (2003)	+
-		+
-	J.M. Arrieta, A. Jiménez-Casas,  A. Rodríguez-Bernal,	+
-	Ponencia: “Flux Condition induced by concentrated reactions”	+
-	Congreso:  EQUADIFF 2003, Hasselt Belgica, (2003)	+
-		+
-	J.M. Arrieta, A. Rodríguez-Bernal	+
-	Ponencia:  “Ecuaciones en derivadas parciales supercriticas y	+
-	problemas mal planteados”	+
-	Congreso: XVIII CEDYA, Tarragona (2003)	+
-		+
-	J.M. Arrieta, A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia:  “Regiones atractoras delimitadas por puntos de equilibrio	+
-	extremales para ecuaciones de reacción-difusión”	+
-	Congreso: XVIII CEDYA, Tarragona (2003)	+
-		+
-	J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal	+
-	Ponencia: “Condición de flujo no-homogénea como límite de reacciones	+
-	localizadas”	+
-	Congreso: XVIII CEDYA, Tarragona (2003)	+
-		+
-	Negreanu, E. Zuazua	+
-	Ponencia: “A 2-grid algorithm for the 1-D wave equation”	+
-	Congreso:  International Conference Waves 2003, INRIA, Universidad de	+
-	Jyavaskyla, Finlandia (2003)	+
-		+
-	Negreanu, E. Zuazua	+
-	Ponencia: “Discrete inequalities”	+
-	Congreso: Intenational Conference “New trends in Continuum Mechanics”,	+
-	Universidad de Constanta,  Rmanía (2003)	+
-		+
-	U. Brauer, L. Karp	+
-	Ponencia: “Existencia local de soluciones clásicas del sistema	+
-	Einstein-Euler usando espacios de Soboleve de orden fraccionario con	+
-	pesos”	+
-	Congreso:  XVIII CEDYA, Tarragona (2003)	+
-		+
-	J. Arrieta	+
-	Conferencia Invitada: “Domain perturbation problems in Partial	+
-	Differential Equations”	+
-	Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e	+
-	Computacional, Sao Jose de Rio Preto, Brasil (2003)	+
-		+
-	J. Arrieta	+
-	Ponencia: “Nonlinear Dynamics of Reaction-Diffusion equations under	+
-	perturbations”	+
-	Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e	+
-	Computacional, Sao Jose de Rio Preto, Brasil (2003)	+
-		+
-	R. Ferreira	+
-	Conferencia Invitada:  “Quenching Phenomena for a fast difusión	+
-	equation”.	+
-	Congreso: Workshop de Otoño en EDP's, Universidad Autónoma de Madrid	+
-	(2004)	+
-		+
-	J.M. Arrieta, A. Rodríguez-Bernal	+
-	Ponencia: “Ill posed parabolic problems with supercritical	+
-	nonlinearities”	+
-	Congreso: “Fifth European Conference on Elliptic and Parabolic	+
-	Problems: A special tribute to the work of Haim Brezis”, Gaeta, Italia	+
-	(2004)	+
-		+
-	A. Rodríguez-Bernal	+
-	Ponencia: “Parabolic equations in locally uniform spaces”	+
-	Congreso: “Nonlinear Elliptic and Parabolic Problems: A special	+
-	tribute to the work of Herbert Amann”, Zurich, Suiza (2004)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Extremal equilibria and asymptotic behaviour Parabolic	+
-	equations in locally uniform spaces”	+
-	Congreso: “Nonlinear Elliptic and Parabolic Problems: A special	+
-	tribute to the work of Herbert Amann”, Zurich, Suiza (2004)	+
-		+
-	R. Ferreira,	+
-	Conferencia Invitada “The Interfaces of an Inhomogeneous Porous Médium	+
-	Equation with Convection”	+
-	Congreso: III Internacional Symposium on Nonlinear and Free Boundary	+
-	Problems,  U. de Buenos Aires (Argentina)      (2005)	+
-		+
-	J.Arrieta, R. Pardo, A. Rodríguez-Bernal	+
-	Ponencia:	+
-	Congreso: XIX CEDYA, Leganés, Madrid (2005)	+
-		+
-	J.M. Arrieta, A. Rodríguez-Bernal	+
-	Conferencia Invitada: “Blow-up in reaction diffusion equations with	+
-	nonlinear boundary conditions”	+
-	Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)	+
-		+
-	J.M. Arrieta, N. Moya, A. Rodríguez-Bernal	+
-	Ponencia: “Dissipative dynamics of reaction diffusion equations in Rn”	+
-	Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)	+
-		+
-	J.M. Arrieta, A. Jiménez-Casas,  A. Rodríguez-Bernal	+
-	Ponencia: “Robin type conditions arising from concentrated potentials”	+
-	Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Extremal Equilibria for parabolic nonlinear	+
-	reaction-diffusion equations”	+
-	Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Asymptotic behavior of nonautonomous reaction-diffusion	+
-	equations”	+
-	Congreso: “PDE's, Optimal Design and Numerics”, Centro de Ciencias de	+
-	Benasque, Huesca (2005)	+
-		+
-	A. Rodríguez-Beranal, A. Vidal-López	+
-	Ponencia: “Comportamiento asintótico de soluciones positivas de	+
-	ecuaciones de reacción-difusión no autónomas”	+
-	Congreso. “XIX CEDYA”, Leganés, Madrid (2005)	+
-		+
-	J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal	+
-	Ponencia: “Ramas no acotadas de soluciones estables en problemas	+
-	elípticos con condiciones de frontera asintóticamente lineales”	+
-	Congreso: XIX CEDYA, Leganés, Madrid (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Trayectorias Completas extremales para ecuaciones de	+
-	reacción-diffusión no autónomas” Congreso: XIX CEDYA, Leganés, Madrid	+
-	(2005)	+
-		+
-	J.M. Arrieta, A. Jiménez-Casas,  A. Rodríguez-Bernal	+
-	Ponencia: “Condiciones de Robin provenientes de potenciales	+
-	concentrados”	+
-	Congeso “XIX CEDYA”, Leganés, Madrid (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Extremal complete trajectories for non-autonomous logistic	+
-	equations I: existence”	+
-	Congreso: “International Conference on non-autonomous and Stochastic	+
-	Dynamical Systems”, Sevila (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Extremal complete trajectories for non-autonomous logistic	+
-	equations II: uniqueness of positive solutions and stability	+
-	properties”	+
-	Congreso: “International Conference on non-autonomous and Stochastic	+
-	Dynamical Systems”, Sevila (2005)	+
-		+
-	A. Rodríguez-Bernal, A. Vidal-López	+
-	Ponencia: “Foward asymptotic behavior of positivie sulutions in a	+
-	non-autonomous logistic equation”	+
-	Congreso: “International Conference on non-autonomous and Stochastic	+
-	Dynamical Systems”, Sevila (2005)	+
-		+
-	Negreanu, E. Zuazua	+
-	Ponencia: “Uniform Observability of the wave equation via a discrete	+
-	ingham inequality”	+
-	Congreso: IEEE Conference on Decision and Control and European Control	+
-	Conference ECC 2005,	+
-	Universidad de Sevilla, (2005)	+
-		+
-	Negreanu, E. Zuazua	+
-	Ponencia: “Convergence of a multi-grid algorithm for the	+
-	controllability of the wave equation”	+
-	Congreso: IEEE Conference on Decision and Control and European Control	+
-	Conference ECC 2005,	+
-	Universidad de Sevilla, (2005)	+
-		+
-	U. Brauer, G. Nagy	+
-	Ponencia: “Buen planteamienteo de las ecuaciones de Euler compresibles	+
-	linealizadas con frontera libre y autogravitación”	+
-	Congreso: XIX CEDYA, Leganes, Madrid (2005)	+
-		+
-	J. Arrieta, S. Bruschi	+
-	Ponencia: “Problemas de valor de fronteira em domínios com oscilaçōes	+
-	na fronteira",	+
-	Congreso: Seminario Brasileiro de Análise, Edición nº 62, Río de	+
-	Janeiro, Brasil, Noviembre (2005),	+
-		+
-	J. Arrieta, K. Mischaikow	+
-	Ponencia:  “Estados de coexistencia con difusión pequeña”	+
-	Congreso XIX CEDYA, Leganés, Madrid (2005)	+
-		+
-	J. Arrieta	+
-	Conferencia Invitada: “Asymptotic behavior at the boundary of	+
-	solutions of reaction-diffusion equations with nonlinear boundary	+
-	conditions “	+
-	Congreso:  “ICMC Summer Meeting in Differential Equations” 2006	+
-	Chapter.  Congreso en memoria de D. Henry,  Universidade de Sao Paulo,	+
-	(2006)	+
-		+
-	R.Ferreira	+
-	Conferencia Invitada  “Explosión para una ecuación de difusión con	+
-	reacción localizada”	+
-	Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U.	+
-	de la Laguna  (2006)	+
-		+
-	R.Pardo	+
-	Conferencia Invitada  “ Problemas elípticos con condiciones de	+
-	contorno sublineales en infinito: estabilidad y monotonía de ramas de	+
-	soluciones no acotadas. ”	+
-	Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U.	+
-	de la Laguna  (2006)	+
-		+
-	A.Rodríguez y A. Vidal	+
-	Conferencia invitada: “Extremal equilibria for parabolic equations and	+
-	applications”.	+
-	Congreso: “6th AIMS International Conference on Dyn. Systems, Diff.	+
-	Equations and Applications”, Poitiers (Francia). Junio 2006.	+
-	Universidad de Poitiers y American Institute of Mathematical Sciences	+
-	(AIMS).	+
-		+
-	A. Rodríguez	+
-	Conferencia Invitada, “Blow-up and ill posed problems”	+
-	Congreso: Second Euro Japanese Workshop on Blow-up, El Escorial,	+
-	Septiembre (2006)	+
-	J. Arrieta
-	Conferencia Invitada. “Dynamics of evolutionary equations under
-	perturbations of the domain”
-	Jornada: “Jornada Científica sobre Ecuaciones Deterministas y
-	Estocásticas”, Universidad de Sevilla Noviembre 2006
-	J. Arrieta	+	# S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. (En prensa)<br/>
-	Conferencia Invitada. “Asymptotics for the spectra in dumbbell	+
-	domains”	+
-	Jornada: “On spectral perturbation problems and homogenization”,	+
-	Universidad de Cantabria Diciembre 2006	+
-	J. Arrieta	+	# R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).<br/>
-	Conferencia Invitada: “Equations with nonlinear boundary conditions in	+
-	domains with rapidly oscillating  boundaries”	+
-	Congreso: “Partial Differential Equations, Optimal Design and Numerics	+
-	2007”, Benasque, Huesca.	+
-	28 Agosto- 7 de septiembre 2007	+

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Revisión de 17:54 22 nov 2007

Contenido 1 Publicaciones en revistas internacionales 1.1 Año 2002 1.2 Año 2003 1.3 Año 2004 2 Año 2005 3 Año 2006 3.1 Año 2007 4 Aceptados para publicación 5 Libros de investigación 6 Libros docentes

Publicaciones en revistas internacionales

Año 2002

1. J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction” Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).
   

1. X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)
   

1. R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition” Math. Models and Methods in Applied Sciences, 12, 461--483, 2002
   

1. R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T. M. A., 50, 495--507, 2002
   

1. R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear inwards and outwards boundary-flux for nonlinear heat equations” Journal of Differential Equation, 184, 259--282, 2002
   

1. A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a phase field model in higher order Sobolev spaces. Rev. Mat. Complut., 15(1):213-248, 2002.
   

1. A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(11):2333-2342. Spatio-temporal comp lexity. (2002)
   

1. A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. J. Differential Equations, 181(1):165-196, 2002.
   

1. R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)
   

Año 2003

1. J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for the best Sobolev trace constant” Advanced Nonlinear Studies, 3, 181--192, 2003
   

1. R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up profile for a fast diffusion equation with a nonlinear boundary condition” Rocky Mountain J. Math, 33, 123--146, 2003
   

1. R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation”
2. Advances in Differential Equations, 8, 1125--1152, 2003
   

1. R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme for a parabolic problem with blow-up” IMA Journal of Numerical Análisis, 23, 439--463, 2003
   

1. M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a discrete 1-D wave equation” , System and Control Letters, 48, Issues 3-4 pp 261-279 (2003)
   

1. M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave equation” Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, Physcis and Astronomy, pp. 213-217, Springer (2003)
   

1. R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)
   

Año 2004

1. J.M. Arrieta "El Cálculo y la Modelización Matemática", en R. Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto Superior de Formación del Profesorado, Ministerio de Educación y Ciencia,pp 11-57 (2004)
   

1. J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations under Perturbations of the Domain" Journal of Diff. Equations 199, pp. 143-178 (2004)
   

1. J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Asymptotic Behavior and Attractors for Reaction Diffusion Equations in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554 (2004)
   

1. J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary" Z.. Angew. Math. Phys. 55, pp. 1-14 (2004)
   

1. J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Linear parabolic equations in locally uniform spaces" Mathematical Models and Methods in Applied Sciences, 14, n. 2, 253-294 (2004)
   

1. J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of Global Solutions for Nonlinear Parabolic Equations involving Gradient Blow-up Phenomena" Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Issue 1, Volume 3/2004, Series 5, pp 1-15, (2004)
   

1. J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions" Communications in Partial Differential Equations 29, 7&8, pp. 1127-1148 (2004)
   

1. J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic equations with supercritical nonlinearities" Communications in Contemporary Mathematics 6, n 5, pp. 733-764 (2004)
   

1. E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” Comptes Rendus Mathématique. Académie des Sciences. Paris, 339, 395--400, 2004
   

1. R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the porous medium equation with a source” Numerical Methods for Partial Differential Eq, 20, 552--575, 2004
   

1. R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching” Journal Differential Equations, 199, 189--209, 2004
   

1. M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)
   

1. L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A, 134(2):389-413, 2004.
   

1. R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)
   

1. R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)
   

Año 2005

1. J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with supercritical nonlinearities. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277 280, (2005) ,
   

1. J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous flux condition as limit of localized reactions. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005),
   

1. J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", Seminario Brasileiro de Análise, Edición nº 62, Noviembre (2005),
   

1. R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción difusión” Boletín de la Soc. Española de Matemática Aplicada, 32, 75-111, 2005
   

1. P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Nonlinear Anal. TMA, 62(5):863-875, (2005).
   

1. A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In Nonlinear elliptic and parabolic problems: A Special Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear Differential Equations Appl., pages 509-516. Birkhäuser, Basel, (2005).
   

1. A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In Nonlinear elliptic and parabolic problems, volume 64 of Progr. Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser, Basel, (2005).
   

1. A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).
   

1. R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the p-laplacian equation with a source”, Computational Methods in Applied Mathematics 5, 137-154, (2005)
   

1. R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching set for a fast diffusion equation.Regional quenching”, Proceedings of the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)
   

1. A. Jiménez-Casas, “Metastable solutions for the thin-interface limit of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7, 963-970, (2005)
   

1. A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)
   

Año 2006

1. R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]

1. I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” Nonlinearity 19, 1535-1551 (2006)
   

1. M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I (2006) pp 412-4448
   

1. A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive solutions of nonautonomous reaction-diffusion equations”, Bol. Soc. Esp. Mat. Apl. 34, 99-104 (2006)
   

1. J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear evolution equations with Lipschitz nonlinearity”. Jounal of Differential Equations, Vol. 220 (2), 396–406 (2006).
   

1. J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions", Comptes Rendus Mathematique, t. 343, Series I, pp. 99-104 (2006)
   

1. J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity", International Journal of Bifurcation and Chaos 16, n. 10, pp. 2965-2984 (2006)
   

1. J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell domains I. Continuity of the set of equilibria" Journal of Differential Equations 231, Issue 2, pp. 551-597, (2006),
   

1. R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction”, Journal Differential Equations 231, 195—211, (2006)
   

1. R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection” Communications in Partial Differential Equations , 31, 497—514, (2006)
   

1. R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate diffusion problem not in divergence form”, Indiana University Mathematics Journal , 55, 955—974, (2006)
   

1. R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous quenching in a system of heat equations coupled at the boundary” Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594, (2006).
   

1. R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction” Aparecerá en Journal Differential Equations 231, 195-211 (2006)
   

1. R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, Phys. Rev. Lett. 97, (2006).
   

1. R. Dager, A. Presa, “Duality of the space of germs of harmonic vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22, (2006)
   

1. R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)
   

Año 2007

1. J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue 02, 225-252. (2007),
   

1. A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. Nonlinear Analisis 67, 70-93 (2007)
   

1. A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567, (2007)
   

1. J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal, “Existence and non-existence of unbounded forward attractor for a class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn. Systems 18, 483—497, (2007)
   

1. J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation”, Mathematical Models and Methods in Applied Sciences 17, nº 10 (2007)
   

1. R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, Journal Differential Equations 240, Issue 1, Pages 196-215 (2007)
   

1. J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems”, Journal of Differential Equations 238, 289-337 (2007)
   

1. U. Brauer, L. Karp, “Local existence of classical solutions of the Einstein-Euler system using weighted Sobolev spaces of fractional order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)
   

1. J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability of attractors for non-autonomous perturbation of gradient-like systems”, Journal of Differential Equations 234, 605-627 (2007).
   

1. J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7
   

1. J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type conditions arising from concentrated potentials”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 157-164
   

1. A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for the p-Laplacian equation with a nonlinear source” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 363-367
   

1. J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of reaction diffusion equations in R^N” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007), pp 405-414.
   

1. A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for parabolic non-linear reaction-diffusion equations”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 531-539
   

1. J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Dissipative parabolic equations in locally uniform spaces", Mathematische Nachrichten 280, Issue 15 (2007)
   

Aceptados para publicación

1. J.M. Arrieta, “On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions”, Proceedings of the American Mathematical Society
   

1. J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary", Proceedings of the Royal Society of Edinburgh A,
   

1. J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal, "Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating in the boundary" Revista Matemática Iberoamericana
   

1. J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension of attractors of parabolic problems in $R^N$ with general potentials", Nonlinear Analysis, Theory Methods and Appications
   

1. M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models” Proceedings of the American Mathematical Society
   

1. M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion equation with blowing up boundary conditions”, Journal of Mathematical Analysis and Applications
   

1. A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground states for nonlinear evolution equations in unbounded domains”, Journal of Mathematical Analysis and Applications
   

1. A Jiménez Casas, “Invariant regions and global existence for a phase field model”, Discrete and Cont. Dynam. Systems.
   

1. A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field model” Mathematical Methods in the Applied Science.
   

Libros de investigación

• R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9

Libros docentes

1. S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. (En prensa)
   

1. R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).