SOMMERFELD DIFFRACTION PROBLEMS WITH OBLIQUE DERIVATIVES

Authors
SANTOS AM SPECK FO
Citation
Am. Santos et Fo. Speck, SOMMERFELD DIFFRACTION PROBLEMS WITH OBLIQUE DERIVATIVES, Mathematical methods in the applied sciences, 20(7), 1997, pp. 635-652
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
20
Issue
7
Year of publication
1997
Pages
635 - 652
Database
ISI
SICI code
0170-4214(1997)20:7<635:SDPWOD>2.0.ZU;2-P
Abstract
A class of diffraction problems for the two-dimensional Helmholtz equa tion is studied where the boundary conditions on a canonical screen co ntain oblique derivatives. The problem in weak formulation is reduced to a system of pseudodifferential equations on a half-line. The Fredho lm property is characterized in dependence of the parameters, index fo rmulas are given, and, if necessary, a normalization of the problem is implemented. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Lt d.