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].
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页码：187 / 193
页数：7
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