On an algebra of a certain class of operators in a slab domain in \(\mathbb{R}^2\) (Q1268110)
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scientific article; zbMATH DE number 1211722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an algebra of a certain class of operators in a slab domain in \(\mathbb{R}^2\) |
scientific article; zbMATH DE number 1211722 |
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On an algebra of a certain class of operators in a slab domain in \(\mathbb{R}^2\) (English)
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6 October 1999
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The author considers the Dirichlet problem for the Laplacian in a domain with a corner in \(\mathbb{R}^2\). With respect to other contributions concerning general operators on manifolds with singularities, cf. \textit{B.-W. Schulze} [Pseudo-differential operators on manifolds with singularities, North-Holland, Amsterdam, (1991; Zbl 0747.58003)], the peculiarity of the problem under consideration allows here a more explicit expression of the parametrix.
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Dirichlet problem for the Laplacian
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operators on manifolds with singularities
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parametrix
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0.9362820982933044
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0.936281681060791
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