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

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作者
Jiying Wang
Yulei Rao
机构
[1] Central South University,Business School
关键词
stochastic partial differential equation; -stable process; exponential stability; subordinated cylindrical Brownian motion; fractional Brownian motion;
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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.
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