A multiple-layer potential theory alternative to Agmon's (Q1261968)
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scientific article; zbMATH DE number 410088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multiple-layer potential theory alternative to Agmon's |
scientific article; zbMATH DE number 410088 |
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A multiple-layer potential theory alternative to Agmon's (English)
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7 September 1993
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The author builds new multiple-layer potentials for a higher-order elliptic equation with constant coefficients in the plane. Properties of the potentials, for example the ``jump relations'', are studied. The Dirichlet problem for a plane domain bounded by a smooth contour is reduced to a system of singular integral equations. It permits to study existence and uniqueness of the Dirichlet problem.
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jump relations
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multiple-layer potentials
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Dirichlet problem
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existence
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uniqueness
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