Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case

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	Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case
其他题名	Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case
	Lemle Ludovic Dan 1; Wang Ran 2; Wu LiMing 3
	2014
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	57 期号:1 页码:161-172
摘要	We study the existence and uniqueness of solutions for a class of infinite-dimensional Fokker-Planck equations on the spin lattice systems M-Zd, where the spin space M is a non-compact Riemannian manifold. The method is based on the Stroock-Varadhan's martingale approach, some compactness results of the general theory developed by Ethier-Kurtz, and some a priori gradient estimates.
其他摘要	We study the existence and uniqueness of solutions for a class of infinite-dimensional Fokker-Planck equations on the spin lattice systems M~(Zd), where the spin space M is a non-compact Riemannian manifold. The method is based on the Stroock-Varadhan’s martingale approach, some compactness results of the general theory developed by Ethier-Kurtz, and some a priori gradient estimates.
关键词	GENERALIZED SCHRODINGER-OPERATORS STOCHASTIC DIFFERENTIAL-EQUATIONS DIRICHLET OPERATORS ISING-MODELS DIFFUSIONS MANIFOLDS DYNAMICS SPACES spin lattice systems Fokker-Planck equation
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Chinese Universities Scientific Fund] ; [Laboratoire Europeen Associe CNRS Franco-Roumain Math Mode and People's Republic of China-Romania Joint Research Project] ; [Thousand Talents Program of the Chinese Academy] ; [le projet ANR EVOL]
CSCD记录号	CSCD:5040988
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56355
专题	中国科学院数学与系统科学研究院
作者单位	1.Politehn University Timisoara, Engn Fac Hunedoara, Hunedoara 331128, Romania 2.北京大学 3.中国科学院数学与系统科学研究院 4.University Clermont Ferrand, CNRS UMR 6620, Lab Math, F-63177 Aubiere, France
推荐引用方式 GB/T 7714	Lemle Ludovic Dan,Wang Ran,Wu LiMing. Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case[J]. SCIENCE CHINA-MATHEMATICS,2014,57(1):161-172.
APA	Lemle Ludovic Dan,Wang Ran,&Wu LiMing.(2014).Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case.SCIENCE CHINA-MATHEMATICS,57(1),161-172.
MLA	Lemle Ludovic Dan,et al."Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case".SCIENCE CHINA-MATHEMATICS 57.1(2014):161-172.