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

作者:Chen Zhen Qing*; Zhang Tusheng
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(6): 2135-2149.
DOI:10.1090/s0002-9939-2014-11907-1

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.

  • 出版日期2014-6