PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
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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.