Non-autonomous semilinear evolution equations with almost sectorial operators
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2008
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| Resumo |
Inspired by the theory of semigroups of growth a, we construct an evolution process of growth alpha. The abstract theory is applied to study semilinear singular non-autonomous parabolic problems. We prove that. under natural assumptions. a reasonable concept of solution can be given to Such semilinear singularly non-autonomous problems. Applications are considered to non-autonomous parabolic problems in space of Holder continuous functions and to a parabolic problem in a domain Omega subset of R(n) with a one dimensional handle. CNPq[305447/2005-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[03/10042-0] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[07/51373-0] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[02/11855-2] |
| Identificador |
JOURNAL OF EVOLUTION EQUATIONS, v.8, n.4, p.631-659, 2008 1424-3199 http://producao.usp.br/handle/BDPI/28875 10.1007/s00028-008-0394-3 |
| Idioma(s) |
eng |
| Publicador |
BIRKHAUSER VERLAG AG |
| Relação |
Journal of Evolution Equations |
| Direitos |
restrictedAccess Copyright BIRKHAUSER VERLAG AG |
| Palavras-Chave | #Non-autonomous semilinear parabolic problems #local existence #evolution processes of growth alpha #domains with a handle #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
