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Exponential mixing for SPDEs driven by highly degenerate lévy noises
Sun,Xiaobin1; Xie,Yingchao1; Xu,Lihu2,3
2019-06-01
Source PublicationIllinois Journal of Mathematics
ISSN0019-2082
Volume63Issue:1Pages:75-102
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 α-stable process with α ∈ (0; 2).

DOI10.1215/00192082-7600360
URLView the original
Language英語English
Scopus ID2-s2.0-85067802550
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Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou,221116,China
2.Department of Mathematics,Faculty of Science and Techology,University of Macau,Tapai,E11 Avenida Da Universidade,Macao
3.UM Zhuhai Reseearch Institute,Zhuhai,China
Recommended Citation
GB/T 7714
Sun,Xiaobin,Xie,Yingchao,Xu,Lihu. Exponential mixing for SPDEs driven by highly degenerate lévy noises[J]. Illinois Journal of Mathematics, 2019, 63(1), 75-102.
APA Sun,Xiaobin., Xie,Yingchao., & Xu,Lihu (2019). Exponential mixing for SPDEs driven by highly degenerate lévy noises. Illinois Journal of Mathematics, 63(1), 75-102.
MLA Sun,Xiaobin,et al."Exponential mixing for SPDEs driven by highly degenerate lévy noises".Illinois Journal of Mathematics 63.1(2019):75-102.
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