| Texto completo | |
| Autor(es): |
da Costa, Henrique B.
;
Valero, Jose
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Set-Valued and Variational Analysis; v. 25, n. 1, p. 25-41, MAR 2017. |
| Citações Web of Science: | 2 |
| Resumo | |
In this paper we study the theory of Morse decompositions with an infinite number of components in the multivalued framework, proving that for a disjoint infinite family of weakly invariant sets (being all isolated but one) a Lyapunov function ordering them exists if and only if the multivalued semiflow is dynamically gradient. Moreover, these properties are equivalent to the existence of a Morse decomposition. This theorem is applied to a reaction-diffusion inclusion with an infinite number of equilibria. (AU) | |
| Processo FAPESP: | 11/21456-7 - Continuidade de atratores para sistemas dinâmicos: Domínios ilimitados e espaços uniformemente-locais |
| Beneficiário: | Henrique Barbosa da Costa |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |