PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION


Autoria(s): Carbone, Vera Lucia; Dias Nascimento, Marcelo Jose; Schiabel-Silva, Karina; da Silva, Ricardo Parreira
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

30/09/2013

20/05/2014

30/09/2013

20/05/2014

20/06/2011

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.

Formato

13

Identificador

http://ejde.math.txstate.edu/

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

1072-6691

http://hdl.handle.net/11449/25140

WOS:000299643500001

WOS000299643500001.pdf

Idioma(s)

eng

Publicador

Texas State Univ

Relação

Electronic Journal of Differential Equations

Direitos

openAccess

Palavras-Chave #Pullback attractor #nonautonomous system #plate equation #upper-semicontinuity
Tipo

info:eu-repo/semantics/article