On exponential stability criteria of stochastic partial differential equations

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:83

Article

Caraballo, T ; Liu, K

关键词: stochastic partial differential equations;    almost sure stability;    mean-square stability;   

DOI  :  10.1016/S0304-4149(99)00045-9

来源: Elsevier

【 摘 要 】

Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential equations are shown in this paper. In particular, the main results obtained in Caraballo and Real (1994, Stochast. Anal. Appl, 12(5), 517-525) are improved, since the new coercivity condition introduced in this work permits the state independent term gamma to be time dependent and nonnegative but of subexponential growth, while in Caraballo and Real (1994) this parameter is required to be constant and nonpositive. Several examples are studied to illustrate the theory. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free