Nonlocal quasilinear variations of the Chafee-Infante problem
In this work, we developed some results on nonlocal quasilinear variations of the Chafee-Infante problem. In the non-autonomous quasilinear case, we will show the existence of special solutions known as non-autonomous equilibria. In the autonomous quasilinear case, we will exhibit the existence of a...
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| Tipo de documento: | tese |
| Estado: | Versão publicada |
| Data de publicação: | 2023 |
| País: | Brasil |
| Recursos: | Universidade de São Paulo (USP) |
| Repositório: | Biblioteca Digital de Teses e Dissertações da USP |
| Idioma: | inglês |
| OAI Identifier: | oai:teses.usp.br:tde-12062023-163429 |
| Acesso em linha: | https://www.teses.usp.br/teses/disponiveis/55/55135/tde-12062023-163429/ |
| Access Level: | Acceso aberto |
| Palavra-chave: | Bifurcação Bifurcation Chafee-Infante problems Estrutura do atrator Hiperbolicidade Hyperbolicity Nonlocal problems Problemas de Chafee-Infante Problemas não-locais Problemas quasilineares Quasilinear problems Structure of the attractor |
| Resumo: | In this work, we developed some results on nonlocal quasilinear variations of the Chafee-Infante problem. In the non-autonomous quasilinear case, we will show the existence of special solutions known as non-autonomous equilibria. In the autonomous quasilinear case, we will exhibit the existence of a sequence of bifurcation of equilibria, for which we will analyze the stability and hyperbolicity. We will also exhibit the attractor of the global attractor for a particular case. In the last chapter, we will construct a concept of isolating block for multivalued problems and we will make an application of such concept. |
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