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| Author(s): |
Estefani Moraes Moreira
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2023-03-28 |
| Examining board members: |
Everaldo de Mello Bonotto;
Ángel Giménez Pastor;
Pedro Marin Rubio;
Karina Schiabel;
Sérgio Henrique Monari Soares
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| Advisor: | Alexandre Nolasco de Carvalho; Marcelo José Dias Nascimento |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 18/00065-9 - Gradient structure of skew product semiflows |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |