English

Robustness of dynamically gradient multivalued dynamical systems

Analysis of PDEs 2025-11-24 v1 Dynamical Systems

Abstract

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 [3], proving that the weak solutions of these problems generate a dynamically gradient multivalued semiflow with respect to suitable Morse sets.

Keywords

Cite

@article{arxiv.2511.13406,
  title  = {Robustness of dynamically gradient multivalued dynamical systems},
  author = {Rubén Caballero and Alexandre N. Carvalho and Pedro Marín-Rubio and José Valero},
  journal= {arXiv preprint arXiv:2511.13406},
  year   = {2025}
}
R2 v1 2026-07-01T07:41:12.426Z