Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity

被引：4
|
作者：
Meng, Fengjuan [1 ]
Liu, Cuncai [1 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 03期
关键词：
Exponential attractor; Damped wave equation; Strichartz estimate; ENERGY CRITICAL WAVES; GLOBAL EXISTENCE; REGULARITY;
D O I：
10.1016/j.camwa.2019.03.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of exponential attractors for the weakly damped wave equation u(tt) + gamma u(t) - Delta u + f(u) = g in a bounded smooth domain of R-3. Based on the recent extension of the Strichartz estimate for the case of a bounded domain, we establish an exponential attractor in a natural energy space for the case of sub-quintic nonlinearity. The results obtained essentially improve and complete some previous works. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1026 / 1036
页数：11
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