The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves
type: Item
instance of: scholarly article
title: The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves
zbMATH Open document ID: 0909.35036
author: P. A. Krutitskii
published in: Hiroshima Mathematical Journal
publication date: 1999-03-30T00:00:00Z
review text: The author studies the title problem in an arbitrary plane domain (internal or external) bounded by a finite number of sufficiently smooth closed and open curves, including cuts. After reducing the problem to a Fredholm equation of second kind, he establishes the existence and uniqueness of classical solution. The proof uses essentially the methods of potential theory.
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 31A25
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1180295
zbMATH Keywords: cuts
zbMATH Keywords: Fredholm equation of second kind
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: classical solution
zbMATH Keywords: potential theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206126877
OpenAlex ID: W1914390125
Wikidata QID: Q128872578
DOI: 10.32917/HMJ/1206126877
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description: scientific article; zbMATH DE number 1180295