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Publications
De Cadedif
(Diferencias entre revisiones)
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(15 ediciones intermedias no se muestran.) | Línea 2: |
Línea 2: |
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| == Publications in peer reviewed journals == | | == Publications in peer reviewed journals == |
- | === Publications before 2010=== | + | === Publications before 2017=== |
- | [[Publications before 2010]] | + | [[Publications before 2017]] [[Seminarios]] |
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- | === Year 2011 ===
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- | #J. M. Arrieta, M.C. Pereira, Homogenization in a thin domain with an oscillatory boundary, Journal de Mathématiques Pures et Apliquées 96, #1, pp: 29-57 (2011)
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- | #J.M. Arrieta, M. López-Fernández, E. Zuazua, On a nonlocal moving frame approximation of traveling waves Comptes Rendus Mathematique 349 pp. 753-758 (2011)
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- | #J.M. Arrieta, A.N. Carvalho, M.C. Pereira, R.P. da Silva, Semilinear parabolic problems in thin domains with a highly oscillatory boundary, Nonlinear Analysis: Theory, Methods and Applications 74, #15 pp: 5111-5132 (2011)
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- | #R. Ferreira, Quenching phenomena for a non-local diffusion equation with a singular absorption. Israel Journal of Mathematics, Israel J. Math. 184 pp. 387–402 (2011)
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- | #C. Brändle, E. Chasseigne, R. Ferreira, Unbounded solutions of the nonlocal heat equation, Commun. Pure Appl. Anal. 10 no. 6, pp. 1663–1686, (2011)
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- | #A. Rodríguez-Bernal, Perturbation of analytic semigroups in scales of banach spaces and applications to linear parabolic equations with low regularity data, SeMA Journal No. 53, pp. 3–54, (2011)
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- | #A. Jiménez-Casas, A. Rodríguez-Bernal, Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary, J. Math. Anal. Appl. 379, no. 2, pp. 567–588, (2011).
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- | #Uwe Brauer, Lavi Karp, Well-posedness of the Einstein–Euler system in asymptotically flat pacetimes: The constraint equations, Journal of Diff. Equations 251, Issue 6, pp. 1428-1446 (2011)
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- | #A. Jiménez-Casas, A. Rodríguez-Bernal, Dynamic boundary conditions as limit of singularity perturbed parabolic problems, Discrete and Continuous Dynamical System A, Supplement 2011. Dedicated to the 8th AIMS Conference.pp. 737-746, (2011).
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- | #R. Pardo, H. Herrero and S. Hoyas, Theoretical study of a Bénard-Marangoni problem, Journal of Mathematical Analysis and Applications, Vol. 376, pp. 231-246 (2011)
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- | #Juan J. Nieto, Rosana Rodríguez, Manuel Villanueva, Green’s Function for the Periodic Boundary Value Problem Related to a First-order Impulsive Differential Equation and Applications to Functional Problems, Differ. Equ. Dyn. Syst. 19, no. 3, 199–210 (2011)
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- | #Juan J. Nieto, Rosana Rodríguez, Manuel Villanueva; Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses. Fuzzy Optimization and Decision Making, Volume 10 Issue 4, (2011).
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- | === Year 2012 ===
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- | # R. Pardo, A.L. Pereira, J.C. Sabina de Lis, “The tangential variation of a localized flux-type eigenvalue problem”, Journal of Differential Equations, 252, Issue 3, pp. 2104–2130 (2012)
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- | # A. Rodríguez-Bernal, A singular perturbation in a linear parabolic equation with terms concentrating on the boundary, Revista Matemática Complutense 25, nº.1, pp. 165–197 (2012).
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- | # J. W. Cholewa, A. Rodriguez-Bernal, Linear and semilinear higher order parabolic equations in $R^N$, Nonlinear Analysis TMA 75, pp. 194-210 (2012).
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- | # J.M. Arrieta, M. López-Fernández, E. Zuazua, “Approximating travelling waves by equilibria of non local equations”, Asymptotic Analysis 78 pp. 145-186 (2012)
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- | # J.M. Arrieta, A.N. Carvalho, J.A. Langa, A. Rodríguez-Bernal, Continuity of dynamical structures for non-autonomous evolution equations under singular perturbations, Journal of Dynamics and Differential Equations 24, #3 pp 427-481 (2012)
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- | # J. W. Cholewa, A. Rodriguez-Bernal, ``Dissipative mechanism of a semilinear higher order parabolic equation in $\R^N$''. Nonlinear Analysis TMA 75, 3510--3530 (2012).
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- | # J. W. Cholewa, A. Rodriguez-Bernal, ``On the Cahn--Hilliard equation in $H^{1}(\R^{N})$''. Journal of Differential Equations 253, 3678--3726 (2012).
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- | # A. Jiménez-Casas and A. Rodríguez-Bernal, ``Dynamic boundary conditions as a singular limit of parabolic problems with terms concentrating at the boundary''. Dynamics of Partial Differential Equations 9, 341--368 (2012).
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- | # R. Pardo, Bifurcation for an elliptic problem with nonlinear boundary conditions, Integración. Temas de matemáticas. Vol 30, Nº 2, 151-226 (2012)
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- | # R. Pardo, A. Castro, “Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions”, Pacific Journal of Mathematics 257 pp. 75-90 (2012)
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- | # R. Ferreira, A. de Pablo, M. Pérez-Llanos and J. D. Rossi , “Critical exponents for a parabolic semilinear equation with variable reaction”, Proc. Roy. Soc. Edinburgh Sect. A 142, no. 5, 1027–1042 (2012)
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- | # R. Ferreira and M. Pérez-Llanos "Blow-up for the non-local p-Laplacian equation with a reaction term", Nonlinear Anal. 75, no. 14, 5499–5522 (2012)
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- | === Year 2013 ===
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- | # J. Arrieta "The Neumann problem in thin domains with very highly oscillatory boundaries" (doi: 10.1016/j.jmaa.2013.02.061) Journal of Mathematical Analysis and Applications 404, #1 pp 86-104 (2013) (with M.C. Pereira).
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- | # J. Arrieta "Rate of convergence of global attractors of some perturbed reaction-diffusion problems" Topological Methods in Nonlinear Analysis 41 (2), pp. 229-253 (2013) (with F.D.M. Bezerra and A.N. Carvalho)
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- | # J. Arrieta. "Spectral stability results for higher order operators under perturbations of the domain" (doi:10.1016/j.crma.2013.10.001) C. R. Acad.Sci.Paris, Ser.I 351(2013)725–730 (with Pier D. Lamberti)
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- | # F. Cortez, A. Rodríguez-Bernal,``PDEs in moving time dependent domains'', In Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics. Springer Series: Understanding Complex Systems, 559-578 (2013).
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- | #Chasseigne, Emmanuel; Sastre-Gómez, Silvia; A nonlocal two phase Stefan problem. Differential Integral Equations 26 (2013), no. 11-12, 1335–1360.
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- | # Yasappan J., A. Jiménez Casas y Castro M. Título: Asymptotic Behavior of a Viscoelastic Fluid in a Closed Loop Thermosyphon: Physical Derivation, Asymptotic Analysis, and Numerical Experiments Abstract and Applied Analysis, vol 2013, p1-20
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- | # J. Yasappan, A. Jiménez Casas, M. Castro “Chaotic behavior of the closed loop thermosyphon model with memory effects”, Chaotic Modeling and Simulation 2, pp 281-288 (2013)
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- | === Year 2014 ===
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- | # A. Rodriguez-Bernal and A. Vidal-López, “A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities”. Communications on Pure Applied Analysis 13, 635–644 (2014).
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- | # A. Jiménez-Casas, A. Rodríguez-Bernal, “A model of traffic flow in a network”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 193–200, (2014). ISBN 978-3-319-06952-4
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- | # A. Rodríguez-Bernal, S. Sastre, “Nonlinear nonlocal reaction–diffusion equations”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 53–61, (2014). ISBN 978-3-319-06952-4
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- | # C. Quesada, A. Rodríguez-Bernal, “Perturbation of analytic semigroups in uniform spaces in R<sup>N</sup>”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 41–49, (2014). ISBN 978-3-319-06952-4
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- | # C. Quesada, A. Rodríguez-Bernal, “Smoothing and perturbation for some fourth order linear parabolic equations in R<sup>N</sup>”, Journal of Mathematical Analysis and Applications, Volume 412, Issue 2, pp. 1105-1134 (2014)
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- | # J.M. Arrieta, E. Santamaría, "Estimates on the Distance of Inertial Manifolds". Discrete and Continuous Dynamical Systems A, 34 Vol 10 pp. 3921-3944 (2014)
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- | # J.M. Arrieta, G. Barbatis, "Stability estimates in H<sup>1</sup><sub>0</sub> for solutions of elliptic equations in varying domains” Mathematical Methods in Applied Science, 37, 2, pp.180-186 (2014)
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- | # J.M. Arrieta, M. Villanueva-Pesqueira "Locally periodic thin domains with varying period" C.R. Acad. Sci. Paris Ser I. 352 pp 397-403 (2014)
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- | # J.M. Arrieta, M. Villanueva-Pesqueira, “Fast and slow boundary oscillations in a thin domain”. Advances in Differential Equations and Applications SEMA SIMAI Springer Series, Vol. 4, 2014, pp 13-22 (2014) ISBN 978-3-319-06952-4
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- | # J.M. Arrieta, M. Villanueva-Pesqueira; “Thin domains with doubly oscillatory boundary”, Mathematical Methods in Applied Science, 37, 2 (2014), 158-166.
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- | # J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, “Localization phenomena in a degenerate logistic equation” Electronic Journal of Differential Equations 21, pp 1-9 (2014)
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- | # J.M. Arrieta, R. Pardo, A.Rodríguez–Bernal, “A degenerate parabolic logistic equation”, Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 3–10, (2014). ISBN 978-3-319-06952-4.
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- | # J.W. Cholewa, A. Rodriguez-Bernal, “A note on the Cahn-Hilliard equation in H1(RN) involving critical exponent”, Math. Bohem. 139, pp. 269-283 (2014)
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- | # J.W. Cholewa, A. Rodriguez-Bernal, “Critical and supercritical higher order parabolic problems in R<sup>N</sup>”, Nonlinear Analysis 104, pp. 50-74 (2014)
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- | # U. Brauer and L.Karp. “Local existence of solutions of self gravitating relativistic perfect fluids” Comm. Math. Physics, 325:105–141, (2014).
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- | # Chasseigne, Emmanuel ; Ferreira, Raúl . Isothermalisation for a non-local heat equation. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 13 (2014), no. 4, 1115--1132.
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- | === Year 2015 ===
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- | # U. Brauer and L. Karp, Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds, Manuscripta Math., 148(1-2), 59-97 (2015).
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- | # J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Asymptotic behavior of degenerate logistic equations”, Journal of Differential Equations, 259, #11, pp.6368-6398 (2015)
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- | # A. Castro, R. Pardo, “A priori bounds for positive solutions of subcritical elliptic equations”, Rev Mat Complut 28, pp: 715-731 (2015)
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- | # S. Sastre, “Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves”, Nonlinear Analysis, v. 125, p. 725-731, (2015).
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- | # G, Griso, M. Villanueva-Pesqueira. “Straight rod with different order of thickness”, Asymptotic Analysis, 94, 3-4 (2015), 255-291. ISSN: 0921-7134
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- | # J. Yasappan, A. Jiménez-Casas, M. Castro “Stailizing interplay between thermosiffusion and viscoelasticity in a closed-loop thermosyphon” Discrete and Continuous Dynamical Systems B, Vol 20, N. 9 pp. 3267-3299 (2015)
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- | # Ferreira, Raúl ; Rossi, Julio D. Decay estimates for a nonlocal p-Laplacian evolution problem with mixed boundary conditions. Discrete Contin. Dyn. Syst. 35 (2015), no. 4, 1469--1478.
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- | === Year 2016 ===
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- | # Ferreira, Raúl ; Pérez-Llanos, Mayte . Limit problems for a Fractional p-Laplacian as p→∞. NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 2, 23:14.
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- | # A. Rodríguez-Bernal, S. Sastre, “Linear nonlocal diffusion problems in metric measure spaces”. Proceedings of the Royal Society of Edinburg 146, 833-863 (2016). JCR Math, Q1, 61/312, Appl. Math, Q2, 95/254.
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- | # A. Rodriguez-Bernal and A. Vidal-Lopez, “Well poshness and and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions”. Dynamics of Partial Differential Equations 13, 273–295 (2016). JCR Appl. Math, Q3, 161/254.
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- | # J. Cholewa, A. Rodríıguez-Bernal, “Linear higher order parabolic problems in locally uniform Lebesgue’s spaces”. Journal of Mathematical Analysis and Applications, JCR Math, Q1, 56/312, Appl. Math, Q1, 88/254.
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- | # A. Rodríguez-Bernal, “The heat equaton with general periodic boundary conditions”,Potential Analysis, JCR Math, Q1, 67/312.
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- | # A.Jiménez–Casas, A. Rodríguez–Bernal, “Some general models of traffic flow in anisolated network”. Mathematical Methods in the Applied Sciences (22 páginas). JCR Appl. Math, Q2, 90/254.
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| === Year 2017=== | | === Year 2017=== |
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| === Year 2019 === | | === Year 2019 === |
- | # Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries. Comput. Math. Appl. 77 (2019), no. 2, 536–554 | + | # Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries. Comput. Math. Appl. 77 (2019), no. 2, 536–554 |
| + | # Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary", Discrete and Continuous Dynamical Systems 24 (8) pp: 4217-4246, (2019) |
| # Bezerra, F. D. M., and Sastre-Gomez S., and da Silvia, S. H. Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition. Applicable Analysis, v. 10, p. 1-16, 2019. | | # Bezerra, F. D. M., and Sastre-Gomez S., and da Silvia, S. H. Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition. Applicable Analysis, v. 10, p. 1-16, 2019. |
| # Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp. | | # Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp. |
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| # López-García, D., & Pardo, R., ''A mathematical model for the use of energy resources: a singular parabolic equation'', Math. Model. Anal., '''25(1)''', 88–109 (2020). http://dx.doi.org/10.3846/mma.2020.9792 | | # López-García, D., & Pardo, R., ''A mathematical model for the use of energy resources: a singular parabolic equation'', Math. Model. Anal., '''25(1)''', 88–109 (2020). http://dx.doi.org/10.3846/mma.2020.9792 |
| # Jiménez-Casas, Á., & Rodríguez-Bernal, A., ''PDE problems with concentrating terms near the boundary'', Commun. Pure Appl. Anal., '''19(4)''', 2147–2195 (2020). http://dx.doi.org/10.3934/cpaa.2020095 | | # Jiménez-Casas, Á., & Rodríguez-Bernal, A., ''PDE problems with concentrating terms near the boundary'', Commun. Pure Appl. Anal., '''19(4)''', 2147–2195 (2020). http://dx.doi.org/10.3934/cpaa.2020095 |
- | # Javadi, A., Arrieta, J., Tuval, I., & Polin, M., ''Photo-bioconvection: towards light control of flows in active suspensions'', Philos. Trans. Roy. Soc. A, '''378(2179)''', 20190523–17 (2020). http://dx.doi.org/10.1098/rsta.2019.0523
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| # Ferreira, R., & de Pablo, A., ''Grow-up for a quasilinear heat equation with a localized reaction'', J. Differential Equations, '''268(10)''', 6211–6229 (2020). http://dx.doi.org/10.1016/j.jde.2019.11.033 | | # Ferreira, R., & de Pablo, A., ''Grow-up for a quasilinear heat equation with a localized reaction'', J. Differential Equations, '''268(10)''', 6211–6229 (2020). http://dx.doi.org/10.1016/j.jde.2019.11.033 |
| # Castro, A., Cossio, J., Herrón, S., Pardo, R., & Vélez, C., ''Infinitely many radial solutions for a sub-super critical $p$-Laplacian problem'', Ann. Mat. Pura Appl. (4), '''199(2)''', 737–766 (2020). http://dx.doi.org/10.1007/s10231-019-00898-x | | # Castro, A., Cossio, J., Herrón, S., Pardo, R., & Vélez, C., ''Infinitely many radial solutions for a sub-super critical $p$-Laplacian problem'', Ann. Mat. Pura Appl. (4), '''199(2)''', 737–766 (2020). http://dx.doi.org/10.1007/s10231-019-00898-x |
| # Brauer, U., & Karp, L., ''Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system'', J. Anal. Math., '''141(1)''', 113–163 (2020). http://dx.doi.org/10.1007/s11854-020-0125-4 | | # Brauer, U., & Karp, L., ''Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system'', J. Anal. Math., '''141(1)''', 113–163 (2020). http://dx.doi.org/10.1007/s11854-020-0125-4 |
| # Arrieta, J. M., & Villanueva-Pesqueira, M., ''Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary'', Commun. Pure Appl. Anal., '''19(4)''', 1891–1914 (2020). http://dx.doi.org/10.3934/cpaa.2020083 | | # Arrieta, J. M., & Villanueva-Pesqueira, M., ''Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary'', Commun. Pure Appl. Anal., '''19(4)''', 1891–1914 (2020). http://dx.doi.org/10.3934/cpaa.2020083 |
- | # Arrieta, J., & Sevilla, A., ''On the flow separation mechanism in the inverse Leidenfrost regime'', J. Fluid Mech., '''897()''', 4–18 (2020). http://dx.doi.org/10.1017/jfm.2020.380
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- | # Arrieta, J., Jeanneret, R., Roig, P., & Tuval, I., ''On the fate of sinking diatoms: the transport of active buoyancy-regulating cells in the ocean'', Philos. Trans. Roy. Soc. A, '''378(2179)''', 20190529–12 (2020). http://dx.doi.org/10.1098/rsta.2019.0529
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- | # Arrieta, J., Cartwright, J. H. E., Gouillart, E., Piro, N., Piro, O., & Tuval, I., ''Geometric mixing'', Philos. Trans. Roy. Soc. A, '''378(2179)''', 20200168–20 (2020). http://dx.doi.org/10.1098/rsta.2020.0168
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| === Year 2021 === | | === Year 2021 === |
| # Pereira, M. C., & Sastre-Gomez, S., ''Nonlocal and nonlinear evolution equations in perforated domains'', J. Math. Anal. Appl., '''495(2)''', 124729–21 (2021). http://dx.doi.org/10.1016/j.jmaa.2020.124729 | | # Pereira, M. C., & Sastre-Gomez, S., ''Nonlocal and nonlinear evolution equations in perforated domains'', J. Math. Anal. Appl., '''495(2)''', 124729–21 (2021). http://dx.doi.org/10.1016/j.jmaa.2020.124729 |
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| # Brauer, U., & Karp, L., ''The non-isentropic relativistic Euler system written in a symmetric hyperbolic form'', In (Eds.), Anomalies in partial differential equations (pp. 63–76) (2021). : Springer, Cham. | | # Brauer, U., & Karp, L., ''The non-isentropic relativistic Euler system written in a symmetric hyperbolic form'', In (Eds.), Anomalies in partial differential equations (pp. 63–76) (2021). : Springer, Cham. |
| # Bezerra, F. D. M., Sastre-Gomez, S., & da Silva, S. H., ''Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition'', Appl. Anal., '''100(9)''', 1889–1904 (2021). http://dx.doi.org/10.1080/00036811.2019.1671973 | | # Bezerra, F. D. M., Sastre-Gomez, S., & da Silva, S. H., ''Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition'', Appl. Anal., '''100(9)''', 1889–1904 (2021). http://dx.doi.org/10.1080/00036811.2019.1671973 |
| + | # Arrieta J.M., J.C. Nakasato, M.C. Pereira, "The p-Laplacian equation in thin domains: The unfolding approach", Journal of Differential Equations 274 (2021) pp: 1-34 |
| + | # Chhetri, N., Mavinga, M., & Pardo, R., ''Bifurcation from infinity with oscillatory nonlinearity for Neumann problem'', Electron. J. Differential Equations, '''Specialissue(1)''', 279–292 (2021). |
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| === Year 2022 === | | === Year 2022 === |
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| == Accepted for publication == | | == Accepted for publication == |
- | # Brauer, U.; Karp, L., Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler--Poisson system accepted for publication in Journal d'Analyse Mathematique (2019). | + | # Brauer, U., & Karp, L., ''Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation'' accepted for publication in Journal of Evolution equations, (preprint in the arXiv) https://arxiv.org/abs/1912.03643 (2019). |
- | # R. Ferreira y A. de Pablo, Grow-up for a quasilinear heat equation with a localized reaction, JDE | + | |
| + | == Submitted for publication == |
| + | # J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted |
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| <!-- == Libros de investigación == | | <!-- == Libros de investigación == |
Línea 159: |
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| # R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta | | # R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta |
| # Rodríguez del Río. Una nueva visión de la geometría, Felix Klein. Colección Genios de las Matemáticas, RBA, Barcelona, 2017. (ISBN:978-84-473-9067-0). Translated into French (ISBN: 978-84-473-9611-5) and into Italian (ISSN: 2531-890X) | | # Rodríguez del Río. Una nueva visión de la geometría, Felix Klein. Colección Genios de las Matemáticas, RBA, Barcelona, 2017. (ISBN:978-84-473-9067-0). Translated into French (ISBN: 978-84-473-9611-5) and into Italian (ISSN: 2531-890X) |
| + | #Arrieta Algarra J.M., Ferreira de Pablo R, Pardo San Gil R, Rodríguez Bernal A, "Análisis Numérico de Ecuaciones Diferenciales". Paraninfo (2020) (ISBN: 9788428344418) |
Última versión de 12:25 20 jun 2022
Publications in peer reviewed journals
Publications before 2017
Publications before 2017 Seminarios
Year 2017
- Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725.
- Mavinga, Nsoki; Pardo, Rosa Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 3, 649–671.
- Castro, Alfonso; Pardo, Rosa Infinitely many stability switches in a problem with sublinear oscillatory boundary conditions. J. Dynam. Differential Equations 29 (2017), no. 2, 485–499.
- Castro, Alfonso; Pardo, Rosa A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 3, 783–790.
- Mavinga, N.; Pardo, R. A priori bounds and existence of positive solutions for semilinear elliptic systems. J. Math. Anal. Appl. 449 (2017), no. 2, 1172–1188
- Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains. Integral Equations Operator Theory 89 (2017), no. 3, 377–408.
- Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506.
- Arrieta, José M.; Lamberti, Pier Domenico Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems. J. Differential Equations 263 (2017), no. 7, 4222–4266.
- Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.
- Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. J. Abstr. Differ. Equ. Appl. 8 (2017), no. 2, 1–69.
- Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal Some general models of traffic flow in an isolated network. Math. Methods Appl. Sci. 40 (2017), no. 11, 3982–4000.
- Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
- Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78.
- Cholewa, Jan W.; Rodriguez-Bernal, Anibal Linear higher order parabolic problems in locally uniform Lebesgue's spaces. J. Math. Anal. Appl. 449 (2017), no. 1, 1–45.
- Sastre-Gomez, Silvia Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity. Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2669–2680.
- Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).
Year 2018
- Ferreira, R.; de Pablo, A. Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions. Rev. Mat. Complut. 31 (2018), no. 3, 805–832.
- Ferreira, Raul Blow-up for a semilinear heat equation with moving nonlinear reaction. Electron. J. Differential Equations 2018, Paper No. 32, 11 pp.
- Damascelli, Lucio; Pardo, Rosa A priori estimates for some elliptic equations involving the p-Laplacian. Nonlinear Anal. Real World Appl. 41 (2018), 475–496
- Arrieta, José M.; Santamaría, Esperanza C1,θ-estimates on the distance of inertial manifolds. Collect. Math. 69 (2018), no. 3, 315–336. 35K90 (35B42)
- Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Boundary homogenization for a triharmonic intermediate problem. Math. Methods Appl. Sci. 41 (2018), no. 3, 979–985.
- Robinson, James C.; Rodríguez-Bernal, Aníbal Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd. Adv. Math. 334 (2018), 488–543.
- Jiménez-Casas, Ángela Metastable solutions for the thin-interface limit of a p-Laplacian phase field model. Math. Methods Appl. Sci. 41 (2018), no. 16, 6851–6865
- Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM).
- Rodríguez Gomez, Alberto; Jiménez-Casas, Ángela Analysis of the ECG Signal Recognizing the QRS Complex and P and T Waves, Using Wavelet Transform. American Journal of Engineering Research(AJER)
- Henry, David; Sastre-Gomez, Silvia Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. Differential Integral Equations 31 (2018), no. 1-2, 1–26
- Brauer, Uwe; Karp, Lavi Local existence of solutions to the Euler-Poisson system, including densities without compact support. J. Differential Equations 264 (2018), no. 2, 755–785.
Year 2019
- Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries. Comput. Math. Appl. 77 (2019), no. 2, 536–554
- Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary", Discrete and Continuous Dynamical Systems 24 (8) pp: 4217-4246, (2019)
- Bezerra, F. D. M., and Sastre-Gomez S., and da Silvia, S. H. Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition. Applicable Analysis, v. 10, p. 1-16, 2019.
- Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp.
- Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro. 'Interaction of localized large diffusion and boundary conditions', Journal of Differential Equations, Volume 267, Issue 5, p. 2687-2736 (2019).
Year 2020
- Robinson, J. C., & Rodríguez-Bernal, A., The heat flow in an optimal Fréchet space of unbounded initial data in \(\Bbb R^d\), J. Differential Equations, 269(11), 10277–10321 (2020). http://dx.doi.org/10.1016/j.jde.2020.07.017
- Pardo, R., & Sanjuán, A., Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth, Electron. J. Differential Equations, (), 114–17 (2020).
- López-García, D., & Pardo, R., A mathematical model for the use of energy resources: a singular parabolic equation, Math. Model. Anal., 25(1), 88–109 (2020). http://dx.doi.org/10.3846/mma.2020.9792
- Jiménez-Casas, Á., & Rodríguez-Bernal, A., PDE problems with concentrating terms near the boundary, Commun. Pure Appl. Anal., 19(4), 2147–2195 (2020). http://dx.doi.org/10.3934/cpaa.2020095
- Ferreira, R., & de Pablo, A., Grow-up for a quasilinear heat equation with a localized reaction, J. Differential Equations, 268(10), 6211–6229 (2020). http://dx.doi.org/10.1016/j.jde.2019.11.033
- Castro, A., Cossio, J., Herrón, S., Pardo, R., & Vélez, C., Infinitely many radial solutions for a sub-super critical $p$-Laplacian problem, Ann. Mat. Pura Appl. (4), 199(2), 737–766 (2020). http://dx.doi.org/10.1007/s10231-019-00898-x
- Brauer, U., & Karp, L., Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system, J. Anal. Math., 141(1), 113–163 (2020). http://dx.doi.org/10.1007/s11854-020-0125-4
- Arrieta, J. M., & Villanueva-Pesqueira, M., Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary, Commun. Pure Appl. Anal., 19(4), 1891–1914 (2020). http://dx.doi.org/10.3934/cpaa.2020083
Year 2021
- Pereira, M. C., & Sastre-Gomez, S., Nonlocal and nonlinear evolution equations in perforated domains, J. Math. Anal. Appl., 495(2), 124729–21 (2021). http://dx.doi.org/10.1016/j.jmaa.2020.124729
- Mavinga, N., & Pardo, R., Equivalence between uniform \(L^p^*\) a priori bounds and uniform \(L^\infty\) a priori bounds for subcritical $p$-Laplacian equations, Mediterr. J. Math., 18(1), 13–24 (2021). http://dx.doi.org/10.1007/s00009-020-01673-6
- Ferreira, R., & de Pablo, A., Blow-up rates for a fractional heat equation, Proc. Amer. Math. Soc., 149(5), 2011–2018 (2021). http://dx.doi.org/10.1090/proc/15165
- Clapp, M., Pardo, R., Pistoia, A., & Saldaña, A., A solution to a slightly subcritical elliptic problem with non-power nonlinearity, J. Differential Equations, 275(), 418–446 (2021). http://dx.doi.org/10.1016/j.jde.2020.11.030
- Cardone, G., Perugia, C., & Villanueva Pesqueira, M., Asymptotic behavior of a Bingham flow in thin domains with rough boundary, Integral Equations Operator Theory, 93(3), 24–26 (2021). http://dx.doi.org/10.1007/s00020-021-02643-7
- Brauer, U., & Karp, L., The non-isentropic relativistic Euler system written in a symmetric hyperbolic form, In (Eds.), Anomalies in partial differential equations (pp. 63–76) (2021). : Springer, Cham.
- Bezerra, F. D. M., Sastre-Gomez, S., & da Silva, S. H., Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition, Appl. Anal., 100(9), 1889–1904 (2021). http://dx.doi.org/10.1080/00036811.2019.1671973
- Arrieta J.M., J.C. Nakasato, M.C. Pereira, "The p-Laplacian equation in thin domains: The unfolding approach", Journal of Differential Equations 274 (2021) pp: 1-34
- Chhetri, N., Mavinga, M., & Pardo, R., Bifurcation from infinity with oscillatory nonlinearity for Neumann problem, Electron. J. Differential Equations, Specialissue(1), 279–292 (2021).
Year 2022
- Rodríguez-Bernal, A., & Sastre-Gómez, S., Nonlinear nonlocal reaction-diffusion problem with local reaction, Discrete Contin. Dyn. Syst., 42(4), 1731–1765 (2022). http://dx.doi.org/10.3934/dcds.2021170
- Rodríguez-Bernal, A., Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces, Nonlinear Anal., 221(), 112887–34 (2022). http://dx.doi.org/10.1016/j.na.2022.112887
- Ferreira, R., & de Pablo, A., A nonlinear diffusion equation with reaction localized in the half-line, Math. Eng., 4(3), 024–24 (2022). http://dx.doi.org/10.3934/mine.2022024
- Cholewa, J. W., & Rodriguez-Bernal, A., Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in \(\Bbb R^N\), Commun. Contemp. Math., 24(1), 2050070–56 (2022). http://dx.doi.org/10.1142/S0219199720500704
- Cholewa, J. W., & Rodriguez-Bernal, A., On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities, J. Differential Equations, 315(), 1–56 (2022). http://dx.doi.org/10.1016/j.jde.2022.01.029
- Bandyopadhyay, S., Chhetri, M., Delgado, B. B., Mavinga, N., & Pardo, R., Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary, Electron. Res. Arch., 30(6), 2121–2137 (2022). http://dx.doi.org/10.3934/era.2022107
Accepted for publication
- Brauer, U., & Karp, L., Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation accepted for publication in Journal of Evolution equations, (preprint in the arXiv) https://arxiv.org/abs/1912.03643 (2019).
Submitted for publication
- J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted
Books
- S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007
- 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).
- R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta
- Rodríguez del Río. Una nueva visión de la geometría, Felix Klein. Colección Genios de las Matemáticas, RBA, Barcelona, 2017. (ISBN:978-84-473-9067-0). Translated into French (ISBN: 978-84-473-9611-5) and into Italian (ISSN: 2531-890X)
- Arrieta Algarra J.M., Ferreira de Pablo R, Pardo San Gil R, Rodríguez Bernal A, "Análisis Numérico de Ecuaciones Diferenciales". Paraninfo (2020) (ISBN: 9788428344418)
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