Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions (Q2813379)
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scientific article; zbMATH DE number 6597761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions |
scientific article; zbMATH DE number 6597761 |
Statements
24 June 2016
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higher regularity
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Caccioppoli estimate
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Gehring-Giaquinta-Modica theory
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\(L^p\) maximal regularity
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math.AP
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Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions (English)
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The paper studies the \(L^p\)-regularity, \(p>2,\) of the gradient of any weak solution to a Cauchy problem with mixed Neumann-power type boundary conditions. Under suitable assumptions and adopting the Gehring-Giaquinta-Modica theory, the author proves existence of weak solutions satisfying explicit estimates. Some considerations on the steady-state regularity are discussed as well.
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