On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source

被引：1
|
作者：
Liu, Xiaopan [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210018, Jiangsu, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
GLOBAL EXISTENCE; VISCOELASTIC EQUATION; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; NONEXISTENCE; UNIQUENESS;
D O I：
10.1155/2012/615345
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the blow-up and existence, and asymptotic behaviors of the solution of a nonlinear hyperbolic equation with dissipative and source terms. By using Galerkin procedure and the perturbed energy method, the local and global existence of solution is established. In addition, by the concave method, the blow-up of solutions can be obtained.
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收藏
页数：27
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