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.

引用

页码：1015 / 1027

页数：13

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