Asymptotic behavior of solutions to quasilinear hyperbolic equations with nonlinear damping

被引：21
作者：
Li, HL
Saxton, K
机构：
[1] SISSA, I-34014 Trieste, Italy
[2] Loyola Univ, Dept Math & Comp Sci, New Orleans, LA 70118 USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2003年 / 61卷 / 02期
关键词：
D O I：
10.1090/qam/1976371
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A quasilinear hyperbolic system with damping is addressed. Some useful properties of self-similar solutions to the diffusion equation are given. Following this, apriori estimates for the local smooth solution are presented in order to prove global existence and obtain time decay rates. Furthermore, an example of the function f(v) is given.
引用
收藏
页码：295 / 313
页数：19
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