The Helmholtz equation in a quadrant with Robin's conditions

✍ Scribed by F. Penzel; F. S. Teixeira

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 145 KB
• Volume: 22
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/(sici)1099-1476(199902)22:3<201::aid-mma32>3.0.co;2-t

✦ Synopsis

Communicated by E. Meister

The boundary value problem for the Helmholtz equation in a quadrant with different Robin's or impedance-type conditions is considered by the use of variational methods and boundary pseudodifferential equations. The coerciveness of the underlying sesquilinear form in dependence of the impedance parameters is proved. The equivalence between the boundary value problem and a scalar uniquely solvable Wiener-Hopf-Hankel equation is obtained.