A PROBABILISTIC APPROACH TO MIXED BOUNDARY VALUE PROBLEMS FOR ELLIPTIC OPERATORS WITH SINGULAR COEFFICIENTS.

Authors :: ZHEN-QING CHEN
TUSHENG ZHANG
Source :: Proceedings of the American Mathematical Society. Jun2014, Vol. 142 Issue 6, p2135-2149. 15p.
Publication Year :: 2014
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. [ABSTRACT FROM AUTHOR]

Subjects :: *BOUNDARY value problems
*ELLIPTIC operators
*DIRICHLET forms
*PROBABILITY theory
*COEFFICIENTS (Statistics)

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