Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation (Q852682)
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scientific article; zbMATH DE number 5072893
| Language | Label | Description | Also known as |
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| English | Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation |
scientific article; zbMATH DE number 5072893 |
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Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation (English)
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15 November 2006
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The Cauchy problem for the parabolic \(p\)-Laplacian equation is considered. The authors prove a nonlinear concavity estimate for the pressure away from the maximum point provided the initial data are nonnegative, continuous and compactly supported. This estimate implies (among other things) the convexity of the support for large time.
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parabolic \(p\)-Laplacian equation
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asymptotic behavior
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convexity of the support
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nonlinear concavity estimate
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