ON THE DAMPED SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT

被引：0

作者：

Grasselli, Maurizio ^{[1
]}

Pata, Vittorino ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年

关键词：

Damped wave equation; universal attractors; upper semicontinuity; exponential attractors;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an optimal regularity result for the universal attractor of the weakly damped semilinear wave equation, when the nonlinearity satisfies the critical growth condition. This allows us to prove an upper semicontinuity result as well as the existence of an exponential attractor.

引用

页码：351 / 358

页数：8

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