Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations (Q955887)
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scientific article; zbMATH DE number 5372151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations |
scientific article; zbMATH DE number 5372151 |
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Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations (English)
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24 November 2008
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The authors prove an intrinsic Harnack inequality for non-negative local weak solutions for a class of doubly nonlinear degenerate parabolic equations, which include the standard pourous media equation and the parabolic \(p\)-Laplacian. The proof is based on measure-theoretical arguments and the Harnack inequality permits to establish the locally Hölder continuity of the solutions.
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weak solution
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porous media equation
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parabolic \(p\)-Laplacian
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