A necessary condition for the instantaneous shrinking property of solutions to a semilinear heat equation (Q606470)
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scientific article; zbMATH DE number 5816831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary condition for the instantaneous shrinking property of solutions to a semilinear heat equation |
scientific article; zbMATH DE number 5816831 |
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A necessary condition for the instantaneous shrinking property of solutions to a semilinear heat equation (English)
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17 November 2010
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The authors prove that if the support of the solution of a semilinear heat equation has the instantaneous shrinking property, then the initial data must vanish at infinity. They apply the weak comparison principle to prove this conclusion.
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shrinking of the support
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strong absorption
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