Explicit solution of a Dirichlet problem in nonconvex angle

Author:

Merzon A.,Zhevandrov P.,De la Paz Méndez J. E.,Romero Rodriguez M. I.

Abstract

In the present work, we give an explicit solution of the Dirichlet boundary-value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data. We present uniqueness and existence theorems in an appropriate functional class and we give an explicit formula for the solution in the form of the Sommerfeld integral. The method of complex characteristics [14] is used.

Publisher

Peoples' Friendship University of Russia

Subject

General Medicine

Reference28 articles.

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