Variaciones locales y cuasilineales del problema de Chafee-Infante
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...
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| Tipo de recurso: | tesis doctoral |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Miguel Hernández de Elche |
| Repositorio: | REDIUMH. Depósito Digital de la UMH |
| OAI Identifier: | oai:dspace.umh.es:11000/29567 |
| Acceso en línea: | https://hdl.handle.net/11000/29567 |
| Access Level: | acceso abierto |
| Palabra clave: | Problemas no locales problemas de Chafee-Infante problemas cuasilineales hiperbolicidad estructura del attractor bifurcación CDU::5 - Ciencias puras y naturales::51 - Matemáticas |
| 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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