On reflected Dirichlet spaces

Zhen Qing Chen

doi:10.1007/BF01192442

On reflected Dirichlet spaces

Zhen Qing Chen^*

^*此作品的通讯作者

Wsshington University

科研成果: 期刊稿件 › 文章 › 同行评审

39 引用（Scopus）

摘要

Reflecting diffusion processes on smooth domains in Euclidean space are well understood. Silverstein in [22] and [23] developed two variant procedures for constructing the reflected processes for a general class of symmetric Hunt processes from a Dirichlet space point of view. A direct approach is given in this paper and these two variant procedures are shown to yield the same result. Only the techniques of martingales and ordinary Markov processes are used.

源语言	英语
页（从-至）	135-162
页数	28
期刊	Probability Theory and Related Fields
卷	94
期	2
DOI	https://doi.org/10.1007/BF01192442
出版状态	已出版 - 6月 1992
已对外发布	是

访问文件

10.1007/BF01192442

其它文件与链接

链接到 Scopus 的出版物

引用此

Chen, Z. Q. (1992). On reflected Dirichlet spaces. Probability Theory and Related Fields, 94(2), 135-162. https://doi.org/10.1007/BF01192442

@article{dc0fe44bb85a4ef88af2c151f4c1624b,

title = "On reflected Dirichlet spaces",

abstract = "Reflecting diffusion processes on smooth domains in Euclidean space are well understood. Silverstein in [22] and [23] developed two variant procedures for constructing the reflected processes for a general class of symmetric Hunt processes from a Dirichlet space point of view. A direct approach is given in this paper and these two variant procedures are shown to yield the same result. Only the techniques of martingales and ordinary Markov processes are used.",

author = "Chen, {Zhen Qing}",

year = "1992",

month = jun,

doi = "10.1007/BF01192442",

language = "English",

volume = "94",

pages = "135--162",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - On reflected Dirichlet spaces

AU - Chen, Zhen Qing

PY - 1992/6

Y1 - 1992/6

N2 - Reflecting diffusion processes on smooth domains in Euclidean space are well understood. Silverstein in [22] and [23] developed two variant procedures for constructing the reflected processes for a general class of symmetric Hunt processes from a Dirichlet space point of view. A direct approach is given in this paper and these two variant procedures are shown to yield the same result. Only the techniques of martingales and ordinary Markov processes are used.

AB - Reflecting diffusion processes on smooth domains in Euclidean space are well understood. Silverstein in [22] and [23] developed two variant procedures for constructing the reflected processes for a general class of symmetric Hunt processes from a Dirichlet space point of view. A direct approach is given in this paper and these two variant procedures are shown to yield the same result. Only the techniques of martingales and ordinary Markov processes are used.

UR - http://www.scopus.com/inward/record.url?scp=21144467150&partnerID=8YFLogxK

U2 - 10.1007/BF01192442

DO - 10.1007/BF01192442

M3 - Article

AN - SCOPUS:21144467150

SN - 0178-8051

VL - 94

SP - 135

EP - 162

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 2

ER -

On reflected Dirichlet spaces

摘要

访问文件

其它文件与链接

指纹

引用此