Stochastic wave equations with dissipative damping

被引:29
作者
Barbu, Viorel
Da Prato, Giuseppe
Tubaro, Luciano [1 ]
机构
[1] Univ Trent, Dept Math, I-38100 Trento, Italy
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[3] Univ Cuza, Iasi 700506, Romania
关键词
stochastic wave equations; dissipative damping; white noise; invariant measure;
D O I
10.1016/j.spa.2006.11.006
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We prove existence and (in some special case) uniqueness of an invariant measure for the transition semi.-roup associated with the stochastic wave equations with nonlinear dissipative damping. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:1001 / 1013
页数:13
相关论文
共 18 条
[1]  
Agmon S., 1965, Van Nostrand Mathematical Studies
[2]  
[Anonymous], STOCHASTIC EQUATION
[3]   The stochastic nonlinear damped wave equation [J].
Barbu, V ;
Da Prato, G .
APPLIED MATHEMATICS AND OPTIMIZATION, 2002, 46 (2-3) :125-141
[4]  
BARBU V, 2005, STOCHASTIC 2 ORDER E
[5]  
Carmona R., 1993, PROBAB THEORY REL, V95, P87
[6]  
CERRAI S, 2004, SMOLUCHOWKI KRAMERS
[7]   Random attractors [J].
Crauel H. ;
Debussche A. ;
Flandoli F. .
Journal of Dynamics and Differential Equations, 1997, 9 (2) :307-341
[8]  
Da Prato G., 1996, Ergodicity for infinite dimensional systems
[9]  
Dalang RC, 1998, ANN PROBAB, V26, P187
[10]  
HAIRER M, 2004, ERGODICITY DEGENERAT