Robustness of dynamically gradient multivalued dynamical systems

Fuente: arXiv
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Autori principali: Caballero, Rubén, Carvalho, Alexandre N., Marín-Rubio, Pedro, Valero, José
Natura: Preprint
Pubblicazione: 2025
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author Caballero, Rubén
Carvalho, Alexandre N.
Marín-Rubio, Pedro
Valero, José
author_facet Caballero, Rubén
Carvalho, Alexandre N.
Marín-Rubio, Pedro
Valero, José
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13406
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robustness of dynamically gradient multivalued dynamical systems
Caballero, Rubén
Carvalho, Alexandre N.
Marín-Rubio, Pedro
Valero, José
Analysis of PDEs
Dynamical Systems
37B25, 35B40, 35B41, 35K55, 37L30, 58C06
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.
title Robustness of dynamically gradient multivalued dynamical systems
topic Analysis of PDEs
Dynamical Systems
37B25, 35B40, 35B41, 35K55, 37L30, 58C06
url https://arxiv.org/abs/2511.13406