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

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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
142
6
DOI
出版状态已出版 - 1 6月 2014
已对外发布

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引用此

Chen, Z. Q., & Zhang, T. (2014). A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients. Proceedings of the American Mathematical Society, 142(6), 2135-2149. https://doi.org/10.1090/S0002-9939-2014-11907-1