Exponential Ergodicity of Stochastic Burgers Equations Driven by α-Stable Processes

doi:10.1007/s10955-013-0881-y

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Status	已發表Published
	Exponential Ergodicity of Stochastic Burgers Equations Driven by α-Stable Processes
	Zhao Dong 1; Lihu Xu2,3 ; Xicheng Zhang 4
	2014-02
Source Publication	Journal of Statistical Physics
ISSN	0022-4715
Volume	154 Issue:4 Pages:929–949
Abstract	In this work, we prove the strong Feller property and the exponential ergodicity of stochastic Burgers equations driven by α/2-subordinated cylindrical Brownian motions with α ∈ (1, 2). To prove the results, we truncate the nonlinearity and use the derivative formula for SDEs driven by α-stable noises established in (Zhang in Stoch. Process. Appl. 123(4):1213–1228, 2013).
Keyword	Alpha-stable Processes Burgers Equations Exponential Mixing
DOI	10.1007/s10955-013-0881-y
Indexed By	SCIE
Language	英語English
WOS Research Area	Physics
WOS Subject	Physics, Mathematical
WOS ID	WOS:000331635500002
Scopus ID	2-s2.0-84893982332
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	Faculty of Science and Technology DEPARTMENT OF MATHEMATICS
Corresponding Author	Lihu Xu
Affiliation	1.Institute of Applied Mathematics, AMSS, CAS, Beijing 100190, P.R. China 2.Department of Mathematics, Brunel University, Kingston Lane, Uxbridge, Middlesex UB8 3PH, UK 3.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau, P.R. China 4.School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China
Corresponding Author Affilication	Faculty of Science and Technology
Recommended Citation GB/T 7714	Zhao Dong,Lihu Xu,Xicheng Zhang. Exponential Ergodicity of Stochastic Burgers Equations Driven by α-Stable Processes[J]. Journal of Statistical Physics, 2014, 154(4), 929–949.
APA	Zhao Dong., Lihu Xu., & Xicheng Zhang (2014). Exponential Ergodicity of Stochastic Burgers Equations Driven by α-Stable Processes. Journal of Statistical Physics, 154(4), 929–949.
MLA	Zhao Dong,et al."Exponential Ergodicity of Stochastic Burgers Equations Driven by α-Stable Processes".Journal of Statistical Physics 154.4(2014):929–949.

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