Pullback attractors for a singularly nonautonomous plate equation
We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/226429 |
| Acesso em linha: | http://hdl.handle.net/11449/226429 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonautonomous system Plate equation Pullback attractor Upper-semicontinuity |
| Resumo: | We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H2 0(Ω) × L2(Ω) and has a family of pullback attractors which is uppersemicontinuous under small perturbations of the damping a. © 2011 Texas State University - San Marcos. |
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