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.
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页码：2279 / 2299
页数：21
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