Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation (Q1280676)
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scientific article; zbMATH DE number 1262554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation |
scientific article; zbMATH DE number 1262554 |
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Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation (English)
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1 September 1999
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The Cauchy problem for a porous medium equation with strong absorption is considered. It is shown that under some assumptions the support of \(u(\cdot,t)\) is bounded for \(t>0\) even if the support of the initial function is the whole space. Sharp local estimates (as \(t\to 0\)) for the boundaries of the support are established.
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porous medium equation
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strong absorption
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instantaneous localization
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