Log-Harnack inequality for stochastic Burgers equations and applications

doi:10.1016/j.jmaa.2011.02.032

科研成果详情

发表状态	已发表Published
题名	Log-Harnack inequality for stochastic Burgers equations and applications
作者	Wang, Feng Yu 1,2; Wu, Jianglun2 ; Xu, Lihu 3
发表日期	2011-12-01
发表期刊	Journal of Mathematical Analysis and Applications
ISSN/eISSN	0022-247X
卷号	384 期号:1 页码:151-159
摘要	By proving an L2-gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As applications, we derive the strong Feller property of the semigroup, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroup, and entropy upper bounds of the transition density. © 2011 Elsevier Inc.
关键词	Entropy-cost inequality Irreducibility Log-Harnack inequality Stochastic Burgers equation Strong Feller property
DOI	10.1016/j.jmaa.2011.02.032
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000293807500013
Scopus入藏号	2-s2.0-79960834956
引用统计	被引频次：25[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/10525
专题	个人在本单位外知识产出
作者单位	1.School of Math. Sci.,Lab. Math. Com. Sys.,Beijing Normal University,Beijing 100875,China 2.Department of Mathematics,Swansea University,Singleton Park,SA2 8PP,United Kingdom 3.EURANDOM,PO Box 513,5600 MB Eindhoven,Netherlands
推荐引用方式 GB/T 7714	Wang, Feng Yu,Wu, Jianglun,Xu, Lihu. Log-Harnack inequality for stochastic Burgers equations and applications[J]. Journal of Mathematical Analysis and Applications, 2011, 384(1): 151-159.
APA	Wang, Feng Yu, Wu, Jianglun, & Xu, Lihu. (2011). Log-Harnack inequality for stochastic Burgers equations and applications. Journal of Mathematical Analysis and Applications, 384(1), 151-159.
MLA	Wang, Feng Yu,et al."Log-Harnack inequality for stochastic Burgers equations and applications". Journal of Mathematical Analysis and Applications 384.1(2011): 151-159.