Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain

被引:128
作者
Aassila, M
Cavalcanti, MM
Soriano, JA
机构
[1] Inst Rech Math Avancee, F-67084 Strasbourg, France
[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
关键词
wave equation; boundary condition of memory type;
D O I
10.1137/S0363012998344981
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We study the asymptotic stability and give the energy decay rates for solutions of the wave equation with boundary dissipation of the memory type.
引用
收藏
页码:1581 / 1602
页数:22
相关论文
共 17 条
[1]  
AASSILA M, 1998, DIFFERENTIAL INTEGRA, V11, P369
[2]   SPECTRAL PROPERTIES OF AN ACOUSTIC BOUNDARY-CONDITION [J].
BEALE, JT .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (09) :895-917
[4]  
Conrad F., 1993, Asymptotic Analysis, V7, P159
[5]  
DIX JG, 1993, DIFFERENTIAL INTEGRA, V6, P431
[6]  
GUESMIA A, 1999, AFRIKA MATH, V10, P14
[7]  
KOMORNIK V, 1990, J MATH PURE APPL, V69, P33
[8]  
Komornik V., 1994, EXACT CONTROLLABILIT
[9]  
Leis R., 1986, INITIAL BOUNDARY VAL
[10]   LOCATION OF SPECTRUM FOR DISSIPATIVE ACOUSTIC OPERATOR [J].
MAJDA, A .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (10) :973-987