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

被引：126

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

来源：

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

页码：1581 / 1602

页数：22

共 17 条

[1] AASSILA M, 1998, DIFFERENTIAL INTEGRA, V11, P369
[2] SPECTRAL PROPERTIES OF AN ACOUSTIC BOUNDARY-CONDITION
BEALE, JT
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (09) : 895 - 917
[3] A NOTE ON THE BOUNDARY STABILIZATION OF THE WAVE-EQUATION
CHEN, G
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1981, 19 (01) : 106 - 113
[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
MAJDA, A
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (10) : 973 - 987