ASYMPTOTIC STABILITY AND ENERGY DECAY-RATES FOR SOLUTIONS OF HYPERBOLIC EQUATIONS WITH BOUNDARY DAMPING

被引:106
作者
QUINN, JP
RUSSELL, DL
机构
[1] UNIV TORONTO,DEPT MATH,TORONTO,ONTARIO,CANADA
[2] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
[3] UNIV WISCONSIN,MATH RES CTR,MADISON,WI 53706
关键词
D O I
10.1017/S0308210500018072
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:97 / 127
页数:31
相关论文
共 21 条
[1]  
COURANT R, 1962, METHODS MATHEMATICAL, V2
[2]  
Dunford N., 1963, LINEAR OPERATORS, V2
[3]   DYNAMICAL SYSTEMS AND STABILITY [J].
HALE, JK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 26 (01) :39-&
[4]  
Holmgren E, 1901, OFVERSIGT KONGL VETE, V58, P91
[5]  
Hormander L., 1963, LINEAR PARTIAL DIFFE
[7]   EXPONENTIAL DECAY OF SOLUTIONS OF WAVE EQUATION IN EXTERIOR OF A STAR-SHAPED OBSTACLE [J].
LAX, PD ;
PHILLIPS, RS ;
MORAWETZ, CS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1963, 16 (04) :477-&
[8]  
Lax PD., 1967, SCATTERING THEORY
[9]  
Lions J.L., 1968, PROBLEMES LIMITES NO
[10]  
Lions J.L., 1968, PROBLEMES LIMITES NO, V2