Hyperbolic boundary value problems arising from symmetric Poisson processes (Q1069050)
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scientific article; zbMATH DE number 3931587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic boundary value problems arising from symmetric Poisson processes |
scientific article; zbMATH DE number 3931587 |
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Hyperbolic boundary value problems arising from symmetric Poisson processes (English)
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1985
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For several classical PDEs, e.g. Laplace, heat, it is possible to set up an isomorphism between solutions in a domain and their boundary values in suitable spaces of generalized functions. This program is carried out here in the case of a hyperbolic equation due to \textit{S. Bochner} [Proc. Conf. Differ. Equations, Maryland 1955, 23-48 (1956; Zbl 0075.280)] in a square domain. The isomorphism in question is constructed using series of Jacobi polynomials.
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symmetric Poisson processes
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isomorphism
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solutions in a domain
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boundary values
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generalized functions
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hyperbolic equation
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Jacobi polynomials
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