The Dirichlet problem for a disk on the sphere \(S^2\) (Q1961995)
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scientific article; zbMATH DE number 1394886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem for a disk on the sphere \(S^2\) |
scientific article; zbMATH DE number 1394886 |
Statements
The Dirichlet problem for a disk on the sphere \(S^2\) (English)
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4 May 2000
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The author obtains the solution of the Dirichlet problem for circular disks on the two-dimensional Euclidean sphere by taking the average of certain weighted means of the boundary function over all chords through a given point. A similar problem was already solved in the case of the Euclidean and hyperbolic plane.
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Dirichlet problem
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Poisson kernel
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Euclidean sphere
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hyperbolic plane
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