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Nonlocal quasilinear variations of the Chafee-Infante problem

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Autor(es):
Estefani Moraes Moreira
Número total de Autores: 1
Tipo de documento: Tese de Doutorado
Imprenta: São Carlos.
Instituição: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Data de defesa:
Membros da banca:
Everaldo de Mello Bonotto; Ángel Giménez Pastor; Pedro Marin Rubio; Karina Schiabel; Sérgio Henrique Monari Soares
Orientador: Alexandre Nolasco de Carvalho; Marcelo José Dias Nascimento
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. (AU)

Processo FAPESP: 18/00065-9 - Estrutura gradiente de semifluxos skew product
Beneficiário:Estefani Moraes Moreira
Modalidade de apoio: Bolsas no Brasil - Doutorado