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 recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade de São Paulo (USP) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da USP |
| Idioma: | inglés |
| OAI Identifier: | oai:teses.usp.br:tde-12062023-163429 |
| Acceso en línea: | https://www.teses.usp.br/teses/disponiveis/55/55135/tde-12062023-163429/ |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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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