DECAY ESTIMATES FOR WAVE EQUATIONS WITH VARIABLE COEFFICIENTS

被引：0

作者：

Radu, Petronela ^{[1
]}

Todorova, Grozdena ^{[2
]}

Yordanov, Borislav ^{[2
]}

机构：

[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 362卷 / 05期

关键词：

Wave equations with variable coefficients; linear dissipation; decay rates; subsolution; TIME-DEPENDENT DISSIPATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish weighted L-2-estimates for dissipative wave equations with variable coefficients that exhibit a dissipative term with a space dependent potential. These results yield decay estimates for the energy and the L-2-norm of solutions. The proof is based on the multiplier method where multipliers are specially engineered from asymptotic profiles of related parabolic equations.

引用

页码：2279 / 2299

页数：21

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