Publications

__TOC__

== Publications in peer reviewed journals  ==  
=== Publications before 2017=== 
[[Publications before 2017]]

===  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
# 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
# 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
# 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

=== 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., 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).

<!-- == 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 -->

== Books   ==
# S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007<br/> 
# 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/>
# 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)