ANÍBAL
RODRÍGUEZ BERNAL
Catedrático de universidad
Instituto de Ciencias Matemáticas
Madrid, EspañaPublicaciones en colaboración con investigadores/as de Instituto de Ciencias Matemáticas (30)
2023
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Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in Rd and Applications to the Ornstein–Uhlenbeck Semigroup
Mediterranean Journal of Mathematics, Vol. 20, Núm. 2
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On linear higher-order parabolic equations in Morrey spaces
Analysis and Applications, Vol. 21, Núm. 6, pp. 1561-1608
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Self-similarity in homogeneous stationary and evolution problems
Journal of Evolution Equations, Vol. 23, Núm. 2
2022
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Linear Non-Autonomous Heat Flow in L01(Rd) and Applications to Elliptic Equations in Rd
Journal of Dynamics and Differential Equations
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NONLINEAR NONLOCAL REACTION-DIFFUSION PROBLEM WITH LOCAL REACTION
Discrete and Continuous Dynamical Systems- Series A, Vol. 42, Núm. 4, pp. 1731-1765
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Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in RN
Communications in Contemporary Mathematics, Vol. 24, Núm. 1
2020
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PDE problems with concentrating terms near the boundary
Communications on Pure and Applied Analysis, Vol. 19, Núm. 4, pp. 2147-2195
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The heat flow in an optimal Fréchet space of unbounded initial data in Rd
Journal of Differential Equations, Vol. 269, Núm. 11, pp. 10277-10321
2019
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Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
Discrete and Continuous Dynamical Systems- Series A, Vol. 39, Núm. 9, pp. 5125-5147
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Interaction of localized large diffusion and boundary conditions
Journal of Differential Equations, Vol. 267, Núm. 5, pp. 2687-2736
2018
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Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd
Advances in Mathematics, Vol. 334, pp. 488-543
2017
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Linear higher order parabolic problems in locally uniform Lebesgue's spaces
Journal of Mathematical Analysis and Applications, Vol. 449, Núm. 1, pp. 1-45
2016
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Linear non-local diffusion problems in metric measure spaces
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 146, Núm. 4, pp. 833-863
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Well posedness and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions
Dynamics of Partial Differential Equations, Vol. 13, Núm. 4, pp. 273-295
2015
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Asymptotic behavior of degenerate logistic equations
Journal of Differential Equations, Vol. 259, Núm. 11, pp. 6368-6398
2014
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A note on the cahn-Hilliard equation in H 1 (R N) Involving critical exponent
Mathematica Bohemica, Vol. 139, Núm. 2, pp. 269-283
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A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
Communications on Pure and Applied Analysis, Vol. 13, Núm. 2, pp. 635-644
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Critical and supercritical higher order parabolic problems in RN
Nonlinear Analysis, Theory, Methods and Applications, Vol. 104, pp. 50-74
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Smoothing and perturbation for some fourth order linear parabolic equations in RN
Journal of Mathematical Analysis and Applications, Vol. 412, Núm. 2, pp. 1105-1134
2012
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Dissipative mechanism of a semilinear higher order parabolic equation in R N
Nonlinear Analysis, Theory, Methods and Applications, Vol. 75, Núm. 8, pp. 3510-3530