GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH SUBCRITICAL-CRITICAL NONLINEARITIES

被引：8
作者：
Dell'Oro, Filippo [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 02期
关键词：
Strongly damped wave equation; critical growth; global attractor; regularity; UNIFIED PROCEDURE; DEFORMABLE MEDIA; CONSTRUCTION; EXISTENCE;
D O I：
10.3934/cpaa.2013.12.1015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the nonlinear strongly damped wave equation u(tt) - Delta u(t) - Delta u + f(u(t)) + g(u) - h, with Dirichlet boundary conditions and a time-independent external force h. In the presence of nonlinearities f and g of subcritical and critical growth, respectively, the existence of a global attractor of optimal regularity is established.
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页码：1015 / 1027
页数：13
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