Abstract

In the classical indirect boundary integral equation method, the solution of the Dirichlet (Neumann) problem for Laplace equation is sought in the form of double (single) layer potential. The alternative method provides the choice of form for the solution of Dirichlet (Neumann) problem in terms of a single (double) layer potential. In this paper, we describe how to obtain these integral representations in multiply connected domains. An application of our results in the theory of conjugate differential forms is also given.

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