A new example of the dissipative wave equations with the total energy decay

被引：5

作者：

Ueda, Hideo ^{[1
]}

机构：

[1] Osaka Univ, Ctr Educ Liberal Arts & Sci, Toyonaka, Osaka 5600043, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2016年 / 46卷 / 02期

关键词：

Wave equations; Energy decay; Damping terms; TIME-DEPENDENT DISSIPATION; LINEAR DISSIPATION;

D O I：

10.32917/hmj/1471024948

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note gives a new sufficient condition of the total energy decay for the solutions of the initial-boundary value problems to the dissipative wave equations in exterior domains with non-compactly supported initial data. That condition provides an example of the damping terms of the dissipative wave equations with the total energy decay which has a smaller amplitude than those of all examples derived from a sufficient condition in Mochizuki and Nakazawa [Publ. Res. Inst. Math. Sci. 32 (1996), 401-414].

引用

页码：187 / 193

页数：7

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