Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping

被引：0
作者：
Shi-feng Geng
Zhen Wang
机构：
[1] Xiangtan University,School of Mathematics and Computational Science
[2] The Chinese Academy of Sciences,Wuhan Institute of Physics and Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2016年 / 32卷
关键词：
asymptotic behavior; convergence rates; quasilinear hyperbolic equation; nonlinear damping; 35B40; 35L72;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The quasilinear hyperbolic equation with nonlinear damping is considered in this paper, a new asymptotic profile for the solution to the equation is obtained by suitably choosing the initial data of the corresponding parabolic equation, the convergence rates of the new profile are better than that obtained by Nishihara (1997, J. Differential Equations 137, 384–395) and H.-J. Zhao (2000, J. Differential Equations 167, 467–494).
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页码：55 / 66
页数：11
相关论文
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