Smooth attractors for strongly damped wave equations

被引：153
|
作者：
Pata, Vittorino
Zelik, Sergey
机构：
[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
[2] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
来源：
NONLINEARITY | 2006年 / 19卷 / 07期
关键词：
D O I：
10.1088/0951-7715/19/7/001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the semilinear strongly damped wave equation partial derivative(tt)u - Delta partial derivative(t)u - Delta u + partial derivative(u) = f. The existence of compact global attractors of optimal regularity is proved for nonlinearities partial derivative of critical and supercritical growth.
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页码：1495 / 1506
页数：12
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