WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES

CSpace > 应用数学研究所

	WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES
	Li, Liping1 ; Uemura, Toshihiro 2; Ying, Jiangang 3
	2017-07-01
发表期刊	OSAKA JOURNAL OF MATHEMATICS
ISSN	0030-6126
卷号	54 期号:3 页码:435-455
摘要	In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More precisely, given a fixed 1-dimensional diffusion process and a sequence of its regular subspaces, if the characteristic sets of regular subspaces are decreasing or increasing, then their associated diffusion processes are weakly convergent to another diffusion process. This is an extended result of [14].
语种	英语
资助项目	China Postdoctoral Science Foundation[2015LH0043] ; China Postdoctoral Science Foundation[2016M590145] ; Chinese Academy of Science ; NSFC[11271240]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000408369400002
出版者	OSAKA JOURNAL OF MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26558
专题	应用数学研究所
通讯作者	Li, Liping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Kansai Univ, Dept Math, Suita, Osaka 5648680, Japan 3.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Li, Liping,Uemura, Toshihiro,Ying, Jiangang. WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES[J]. OSAKA JOURNAL OF MATHEMATICS,2017,54(3):435-455.
APA	Li, Liping,Uemura, Toshihiro,&Ying, Jiangang.(2017).WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES.OSAKA JOURNAL OF MATHEMATICS,54(3),435-455.
MLA	Li, Liping,et al."WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES".OSAKA JOURNAL OF MATHEMATICS 54.3(2017):435-455.