Abstract：This paper consideres the existence and uniqueness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners. For smooth boundary, using potential theory to transform the problem into second kind boundary integral equation, and using Fredholm alternative theorem, it obtains the existence and uniqueness of Dirichlet problem. For bounded domain with corners, the normal derivative is not continuous, which brings some additional difficults. This paper uses modified potential jump relations to overcome the difficults. Thereby it obtains the existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners.
收稿日期: 2006-03-25
引用本文:
蒋鹏,毛耀. 边界含尖点区域上Helmholtz方程Dirichlet问题解的存在及唯一性[J]. , 2006, 45(3): 0-0.
蒋鹏,毛耀. Existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners. , 2006, 45(3): 0-0.
