Representation of harmonic functions as potentials and the Cauchy problem

Аннотация

In this paper, we propose an explicit formula for the reconstruction of a harmonic function in the domain from its known values and from the values of its normal derivative on part of the boundary, i.e., we give an explicit continuation and a regularization formula of the solution of the Cauchy problem for the Laplace equation.

Темы

Идентификаторы

DOI

10.1134/s0001434608050131

Цитирования и источники