The Helmholtz equation in a quadrant with Robin's conditions

Authors
Penzel, F Teixeira, FS
Citation
F. Penzel et Fs. Teixeira, The Helmholtz equation in a quadrant with Robin's conditions, MATH METH A, 22(3), 1999, pp. 201-216
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
22
Issue
3
Year of publication
1999
Pages
201 - 216
Database
ISI
SICI code
0170-4214(199902)22:3<201:THEIAQ>2.0.ZU;2-A
Abstract
The boundary value problem for the Helmholtz equation in a quadrant with di fferent Robin's or impedance-type conditions is considered by the use of Va riational methods and boundary pseudodifferential equations. The coercivene ss of the underlying sesquilinear form in dependence of the impedance param eters is proved. The equivalence between the boundary value problem and a s calar uniquely solvable Wiener-Hopf-Hanker equation is obtained. Copyright (C) 1999 John Wiley & Sons, Ltd.