On mixed boundary value problems for the Helmholtz equation
Authors:
- 1 January 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 77 (1-2) , 65-77
Abstract
Existence and uniqueness theorems are obtained for a class of mixed boundary value problems associated with the three-dimensional Helmholtz equation. In this context the boundary of the region of interest is assumed to consist of the union of a finite number of disjoint, closed, bounded Lyapunov surfaces on some of which are imposed Dirichlet conditions whilst Neumann conditions are imposed on the remainder. An integral equation method is adopted throughout. The required boundary integral equations are generated by a modified layer theoretic approach which extends the work of Brakhage and Werner [1] and Leis [2, 3].Keywords
This publication has 2 references indexed in Scilit:
- ber das Dirichletsche Au enraumproblem f r die Helmholtzsche SchwingungsgleichungArchiv der Mathematik, 1965
- Zur Dirichletschen Randwertaufgabe des Au enraumes der SchwingungsgleichungMathematische Zeitschrift, 1965