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.
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页数：13
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