SOME INTERIOR AND EXTERIOR BOUNDARY-VALUE-PROBLEMS FOR THE HELMHOLTZ-EQUATION IN A QUADRANT

Authors
MEISTER E PENZEL F SPECK FO TEIXEIRA FS
Citation
E. Meister et al., SOME INTERIOR AND EXTERIOR BOUNDARY-VALUE-PROBLEMS FOR THE HELMHOLTZ-EQUATION IN A QUADRANT, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 123, 1993, pp. 275-294
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
123
Year of publication
1993
Part
2
Pages
275 - 294
Database
ISI
SICI code
0308-2105(1993)123:<275:SIAEBF>2.0.ZU;2-#
Abstract
The Dirichlet, Neumann and mixed boundary-value problems for the two-d imensional Helmholtz equation in the interior or exterior of a quadran t are considered in a Sobolev space setting. It is shown that the pote ntial operators arising in the interior problems can be used to derive systems of boundary integral equations to the exterior problems, whic h can be solved explicitly.