PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION

Carregando...
Imagem de Miniatura

Data

2011-06-20

Autores

Carbone, Vera Lucia
Dias Nascimento, Marcelo Jose
Schiabel-Silva, Karina
da Silva, Ricardo Parreira [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Texas State Univ

Resumo

We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary conditions. When the nonlinearity f is dissipative we show that this problem is globally well posed in H(0)(2)(Omega) x L(2)(Omega) and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping a.

Descrição

Palavras-chave

Pullback attractor, nonautonomous system, plate equation, upper-semicontinuity

Como citar

Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 13, 2011.