Slowly non-dissipative equations with oscillating growth

Autor(es)

Lappicy, Phillipo ^[1] ; Pimentel, Juliana ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Bloco C, Cidade Univ, BR-21941909 Rio De Janeiro, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PORTUGALIAE MATHEMATICA; v. 75, n. 3-4, p. 313-327, 2018.
• Citações Web of Science: 0

Resumo

The goal of this paper is to construct explicitly the global attractors of semilinear parabolic equations when the reaction term has an oscillating growth. In this case, solution can also grow-up, and hence the attractor is unbounded and induces a flow at infinity. In particular, we construct heteroclinic connections between bounded and/or unbounded hyperbolic equilibria when the reaction term is asymptotically linear. (AU)

• Processo FAPESP: 16/04925-7 - EDPs parabólicas semilineares e atratores ilimitados
• Beneficiário: Juliana Fernandes da Silva Pimentel
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/07882-0 - Condicionante de Einstein e Equações Diferenciais na Esfera
• Beneficiário: Phillipo Lappicy Lemos Gomes
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado