On some integral operators related to the Poisson equation (Q434302)
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scientific article; zbMATH DE number 6054104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some integral operators related to the Poisson equation |
scientific article; zbMATH DE number 6054104 |
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On some integral operators related to the Poisson equation (English)
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10 July 2012
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The author considers the Dirichlet problem \[ \Delta u =g(z),\quad z\in\Omega,\, u\in W^{1,p}_0(\Omega), \] where \(p\geq 1\) and \(\partial\Omega\) is of Lipschitz type. There are estimated various norms of some integral operators related to the Poisson equation in the complex plane with vanishing boundary data.
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Poisson equation
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eigenvalues and eigenfunctions
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integral operators
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