## Illinois Journal of Mathematics

### Exponential mixing for SPDEs driven by highly degenerate Lévy noises

#### Abstract

By modifying a coupling method developed by the third author with much more delicate analysis, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump Lévy noises are exponential mixing. These pure jump Lévy noises include a finite dimensional $\alpha$-stable process with $\alpha \in (0,2)$.

#### Article information

Source
Illinois J. Math., Volume 63, Number 1 (2019), 75-102.

Dates
Revised: 1 February 2019
First available in Project Euclid: 29 May 2019

https://projecteuclid.org/euclid.ijm/1559116823

Digital Object Identifier
doi:10.1215/00192082-7600360

Mathematical Reviews number (MathSciNet)
MR3959868

Zentralblatt MATH identifier
07064387

#### Citation

Sun, Xiaobin; Xie, Yingchao; Xu, Lihu. Exponential mixing for SPDEs driven by highly degenerate Lévy noises. Illinois J. Math. 63 (2019), no. 1, 75--102. doi:10.1215/00192082-7600360. https://projecteuclid.org/euclid.ijm/1559116823

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