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Exponential mixing for SPDEs driven by highly degenerate L\'evy noises
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classification
math.PR
keywords
noisesalphadegeneratedrivenexponentialhighlyjumpmixing
abstract
By a coupling method, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump L\'evy noises are exponential mixing. These pure jump L\'evy noises include $\alpha$-stable process with $\alpha \in (0,2)$
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