Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation (Q1028635)
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scientific article; zbMATH DE number 5576017
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation |
scientific article; zbMATH DE number 5576017 |
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Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation (English)
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6 July 2009
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The Cauchy problem for a semilinear heat equation with a supercritical power nonlinearity is considered. It is shown that solutions whose initial values decay in an anisotropic way converge to steady states which are explicitly determined by an average formula.
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semilinear parabolic equation
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supercritical nonlinearity
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anisotropic decay
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convergence of solutions
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supercritical power nonlinearity
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average formula
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