On the blowup of multidimensional semilinear heat equations (Q688843)
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scientific article; zbMATH DE number 438587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the blowup of multidimensional semilinear heat equations |
scientific article; zbMATH DE number 438587 |
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On the blowup of multidimensional semilinear heat equations (English)
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6 December 1993
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This paper is concerned with positive, blowing-up solutions of the semilinear heat equation \(u_ t - \Delta u = u^ p\) in \(\mathbb{R}^ n \times (0,T)\), \(p > 1\). The refined asymptotics for \(u\) in a backward space-time parabola near a blowup point are calculated and the properties concerning the local structure of the blowup set are obtained.
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center manifold theory
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local structure of the blowup set
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