Reflection and the Neumann problem on doubly connected regions. (English) Zbl 0658.31003

Dontová, Eva

Čas. Pěstování Mat. 113, No. 2, 148-168 (1988).

The paper could be considered as a continuation of the author’s paper reviewed above [ibid. 113, No.2, 122-147 (1988; Zbl 0658.31002)]. The same idea, the same method are applied to the same generalised domain for solving the Neumann’s problem. The result of the investigation is also similar with that obtained in the quoted paper: the solution of the Neumann’s problem reduces to solving a single integral equation on the interior curve of the domain.

Reviewer: V.Ionescu

MSC:

31A25	Boundary value and inverse problems for harmonic functions in two dimensions
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Keywords:

multiply connected domain; global reflexion function; plane curve; generalised domain; Neumann’s problem; single integral equation; interior curve

Citations:

Zbl 0658.31002