Mixed type boundary value problems for polymetaharmonic equations (Q333413)
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scientific article; zbMATH DE number 6645528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed type boundary value problems for polymetaharmonic equations |
scientific article; zbMATH DE number 6645528 |
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Mixed type boundary value problems for polymetaharmonic equations (English)
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31 October 2016
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polymetaharmonic equation
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boundary value problems
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Sobolev-Slobodetskii spaces
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The author considers three-dimensional Riquier-type and classical mixed boundary value problems for the polymetaharmonic equation NEWLINE\[NEWLINE (\Delta +k_1^2)(\Delta+k_2^2)u=0. NEWLINE\]NEWLINE These problems are studied by means of the potential method and the theory of pseudodifferential equations. Existence and uniqueness theorems in Sobolev-Slobodetskii spaces are proved. The author analyses the asymptotic properties of the solutions and establishes the best Hölder smoothness results for the solutions.
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