A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients

Zhen Qing Chen; Tusheng Zhang

doi:10.1090/S0002-9939-2014-11907-1

A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients

Zhen Qing Chen^*
, Tusheng Zhang

^*此作品的通讯作者

University of Washington
University of Manchester

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

In this paper, we establish existence and uniqueness of solutions of a class of mixed boundary value problems for elliptic operators with singular coefficients. Our approach is probabilistic. The theory of Dirichlet forms plays an important role.

源语言	英语
页（从-至）	2135-2149
页数	15
期刊	Proceedings of the American Mathematical Society
卷	142
期	6
DOI	https://doi.org/10.1090/S0002-9939-2014-11907-1
出版状态	已出版 - 1 6月 2014
已对外发布	是

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title = "A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients",

abstract = "In this paper, we establish existence and uniqueness of solutions of a class of mixed boundary value problems for elliptic operators with singular coefficients. Our approach is probabilistic. The theory of Dirichlet forms plays an important role.",

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AU - Zhang, Tusheng

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AB - In this paper, we establish existence and uniqueness of solutions of a class of mixed boundary value problems for elliptic operators with singular coefficients. Our approach is probabilistic. The theory of Dirichlet forms plays an important role.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients

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