Robustness of dynamically gradient multivalued dynamical systems

2025/11/17 by Caballero, Rubén, Carvalho, Alexandre N., Marín-Rubio, Pedro +1 · 1 citation
Computer Science · Mathematics · #35B40 #35B41 #35K55 #37B25 #37L30 #58C06 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Optimization and Variational Analysis

paper · doi:10.48550/arxiv.2511.13406

openalex publication_date 2025/11/17 · openalex created_date 2025/11/19 · openalex updated_date 2026/07/28

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.

Citations

• Structure and regularity of the global attractor of a reaction-di§usion equation with non-smooth nonlinear term

Cited by

• On forward attractors for nonautonomous dynamical systems with application to the asymptotically autonomous Chafee-Infante equation

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