On the upper semicontinuity of global attractors for damped wave equations

被引：0

作者：

Shomberg, Joseph L. ^{[1
]}

机构：

[1] Providence Coll, Dept Math & Comp Sci, 1 Cunningham Sq, Providence, RI 02918 USA

来源：

AIMS MATHEMATICS | 2017年 / 2卷 / 03期

关键词：

Upper-semicontinuity; global attractor; strongly damped wave equation;

D O I：

10.3934/Math.2017.2.557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a new proof of the upper-semicontinuity property for the global attractors admitted by the solution operators associated with some strongly damped wave equations. In particular, we demonstrate an explicit control over semidistances between trajectories in the weak energy phase space in terms of the perturbation parameter. This result strengthens the recent work by Y. Wang and C. Zhong [7].

引用

页码：557 / 561

页数：5

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