On diffusion phenomena for the linear wave equation with space-dependent damping

被引：25

作者：

Wakasugi, Yuta ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2014年 / 11卷 / 04期

关键词：

Wave equation; space-dependent damping; diffusion phenomenon; L-P; ASYMPTOTIC-BEHAVIOR; GLOBAL ASYMPTOTICS; DECAY; ENERGY;

D O I：

10.1142/S0219891614500246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the diffusion phenomenon associated with the linear wave equation with space-dependent damping, and give a proof that the asymptotic profile of solutions is represented by solutions to the associated heat equation, in the L-2 sense.

引用

页码：795 / 819

页数：25

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