The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves (Q1392519)
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scientific article; zbMATH DE number 1180295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves |
scientific article; zbMATH DE number 1180295 |
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The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves (English)
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30 March 1999
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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.
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cuts
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Fredholm equation of second kind
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existence
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uniqueness
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classical solution
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potential theory
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0.94992596
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0.90621376
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0.9033067
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0.9032601
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0.90283245
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0.89435244
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0.89377487
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0.89127374
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