The Dirichlet problem for \(\alpha\)-harmonic functions on conical domains (Q819615)
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scientific article; zbMATH DE number 5016093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem for \(\alpha\)-harmonic functions on conical domains |
scientific article; zbMATH DE number 5016093 |
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The Dirichlet problem for \(\alpha\)-harmonic functions on conical domains (English)
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29 March 2006
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The authors consider an \(\alpha\)-stable process in a conical domain in \(\mathbb{R}^d\) and prove that the Dirichlet problem is solvable with a boundary condition given by a function in \(L^q\), under some restrictions for \(q\).
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\(\alpha\)-harmonic function
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Poisson kernel
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Dirichlet problem
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