Existence and Characterization of Attractors for a Nonlocal Reaction–Diffusion Equation with an Energy Functional

Author:

Caballero R.,Marín-Rubio P.,Valero José

Funder

Ministerio de Educación, Cultura y Deporte

Ministerio de Economía y Competitividad

Ministerio de Ciencia, Innovación y Universidades

Junta de Andalucía

Ministerio de Ciencia e Innovación

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference35 articles.

1. Anh, C.T., Tinh, L.T., Toi, V.M.: Global attractors for nonlocal parabolic equations with a new class of nonlinearities. J. Korean Math. Soc. 55, 531–551 (2018)

2. Arrieta, J.M., Rodríguez-Bernal, A., Valero, J.: Dynamics of a reaction–diffusion equation with a discontinuous nonlinearity. Int. J. Bifurcat. Chaos Appl. Sci. Eng. 16, 2965–2984 (2006)

3. Babin, A.V., Vishik, M.I.: Attractors of Evolution Equations. North Holland, Amsterdam (1992)

4. Brezis, H.: Análisis Funcional, Alianza Universidad, Madrid (1984). (Translated from Brezis, H. (1983). Analyse Fonctionnelle: Théorie et Applications. Masson, Paris)

5. Caballero, R., Carvalho, A.N., Marín-Rubio, P., Valero, J.: Robustness of dynamically gradient multivalued dynamical systems. Discrete Contin. Dyn. Syst. Ser. B 24, 1049–1077 (2019)

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