On blow-up at space infinity for semilinear heat equations (Q819730)
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scientific article; zbMATH DE number 5016200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On blow-up at space infinity for semilinear heat equations |
scientific article; zbMATH DE number 5016200 |
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On blow-up at space infinity for semilinear heat equations (English)
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29 March 2006
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Positive solutions of the Cauchy problem for a semilinear heat equation are studied. The authors give sufficient conditions under which the solutions blow up in finite time but the blow-up set is empty. This means that these solutions only become unbounded as \(| x| \to\infty\). It is also shown in the paper that the behavior at spatial infinity is described by the corresponding ordinary differential equation.
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semilinear heat equation
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blow-up
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