PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION

被引：0

作者：

Carbone, Vera Lucia ^{[1
]}

Dias Nascimento, Marcelo Jose ^{[1
]}

Schiabel-Silva, Karina ^{[1
]}

da Silva, Ricardo Parreira ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] IGCE UNESP, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Pullback attractor; nonautonomous system; plate equation; upper-semicontinuity; ELASTIC-SYSTEMS; SEMIGROUPS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the family of singularly nonautonomous plate equation with structural damping u(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.

引用

页数：13

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