Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies (Q5954476)
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scientific article; zbMATH DE number 1700784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies |
scientific article; zbMATH DE number 1700784 |
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Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies (English)
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4 February 2002
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Hölder continuity
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parabolic equation
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degenerate type
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The paper is concerned with a parabolic equation with two degeneracies, namely NEWLINE\[NEWLINE\partial_t v- \text{div}(\alpha(v)\nabla v))=0,NEWLINE\]NEWLINE where \(v\in [0,1]\) and \(\alpha\) degenerate for \(v= 0\) and \(v=1\). The author shows that \(v\) is locally Hölder continuous if \(\alpha\) decays like a power at both degeneracies.
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