Uniqueness of double layer potentials for a domain with fractal boundary (Q1572924)
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scientific article; zbMATH DE number 1484785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of double layer potentials for a domain with fractal boundary |
scientific article; zbMATH DE number 1484785 |
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Uniqueness of double layer potentials for a domain with fractal boundary (English)
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6 August 2000
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The double layer potentials for a bounded domain with fractal boundary depends on an extension operator on a space of functions on the boundary. The author gives a sufficient condition to define them uniquely and applies it to prove the injectivity of an operator with respect to the Dirichlet problem.
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Whitney decomposition
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extension operator
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bounded domain with fractal boundary
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