Robustness of dynamically gradient multivalued dynamical systems

Description

In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion studied in J. M. Arrieta, A. Rodríguez-Bernal and J. Valero, Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity, International Journal of Bifurcation and Chaos, 16 (2006), 2965-2984, proving that the weak solutions of these problems generate a dynamically gradient multivalued semiflow with respect to suitable Morse sets.

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Ministerio de Educación, Cultura y Deporte

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Ministerio de Economía y Competitividad

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Junta de Andalucía

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Fundação de Amparo à Pesquisa do Estado de São Paulo

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Conselho Nacional de Desenvolvimento Científico e Tecnológico

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