A note on stability of SPDEs driven by α -stable noises

Advances in Difference Equations

Jiying Wang¹  Yulei Rao¹ 

[1] Business School, Central South University, Changsha, China

关键词: stochastic partial differential equation;    α-stable process;    exponential stability;    subordinated cylindrical Brownian motion;    fractional Brownian motion;   

DOI  :  10.1186/1687-1847-2014-98

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by the Minkovski inequality and the semigroup method we discuss the stability of mild solutions for a class of SPDEs driven by α-stable noise, and the methods are also generalized to deal with the stability of SPDEs driven by subordinated cylindrical Brownian motion and fractional Brownian motion, respectively. MSC:60H15, 60G15.

【 授权许可】

CC BY