The Neumann problem on wave propagation in a 2-D external domain with cuts (Q1293329)
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scientific article; zbMATH DE number 1309653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Neumann problem on wave propagation in a 2-D external domain with cuts |
scientific article; zbMATH DE number 1309653 |
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The Neumann problem on wave propagation in a 2-D external domain with cuts (English)
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19 November 2000
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The author considers Helmholtz' equation in an exterior domain \(\Omega\) where \(\Omega=\Gamma_1 \cup\Gamma_2\) and \(\Gamma_1\) resp. \(\Gamma_2\) consist of several smooth closed resp. non-closed curves (`cuts'). He uses integral equation methods to prove the existence. Reviewer's remark: The reader should be aware of parallel results by variational methods. See e.g. \textit{R. Leis} [Math. Z. 90, 205-211 (1965; Zbl 0132.33602)].
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Helmholtz' equation
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irregular boundary
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exterior problems
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