Existence of solutions to strongly damped quasilinear wave equations

被引：11
|
作者：
Luo, Hong [1 ]
Li, Li-mei [1 ]
Ma, Tian [2 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China
[2] Sichuan Univ, Coll Math, Chengdu 610041, Sichuan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
existence; solution; wave equations; strongly damped; quasi-linear; BEHAVIOR; ATTRACTORS;
D O I：
10.1186/1687-1847-2012-139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of strongly damped quasilinear wave equations. MSC: 35L05, 35L20, 35D30, 35D35.
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页码：1 / 12
页数：12
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