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Exponential mixing of 2D SDEs forced by degenerate Lévy noises
Lihu Xu1,2
2014-06
Source PublicationJournal of Evolution Equations
ISSN1424-3199
Volume14Issue:2Pages:249-272
Abstract

We modify the coupling method established in Shirikyan (Exponential mixing for randomly forced partial differential equations: method of coupling, Springer, New York, 2008) and Shirikyan (J Math Fluid Mech 6(2):169-193, 2004) and develop a technique to prove the exponential mixing of a 2D stochastic system forced by degenerate L,vy noises. In particular, these L,vy noises include alpha-stable noises (0 < alpha < 2). Thanks to the stimulating discussion (Nersesyan in Private communication 2011), this technique is promising to study the exponential mixing problem of SPDEs driven by degenerate symmetric alpha-stable noises.

KeywordSdes Driven By Degenerate Α-stable Noises Coupling Exponential Mixing
DOIhttp://dx.doi.org/10.1007/s00028-013-0212-4
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000336270700001
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Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorLihu Xu
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau
2.Department of Mathematics, Brunel University, Kingston Lane, Uxbridge, Middlesex UB8 3PH, UK
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Lihu Xu. Exponential mixing of 2D SDEs forced by degenerate Lévy noises[J]. Journal of Evolution Equations,2014,14(2):249-272.
APA Lihu Xu.(2014).Exponential mixing of 2D SDEs forced by degenerate Lévy noises.Journal of Evolution Equations,14(2),249-272.
MLA Lihu Xu."Exponential mixing of 2D SDEs forced by degenerate Lévy noises".Journal of Evolution Equations 14.2(2014):249-272.
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