Classification of type I and type II behaviors for a supercritical nonlinear heat equation (Q1002223)
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scientific article; zbMATH DE number 5518742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of type I and type II behaviors for a supercritical nonlinear heat equation |
scientific article; zbMATH DE number 5518742 |
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Classification of type I and type II behaviors for a supercritical nonlinear heat equation (English)
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25 February 2009
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Radially symmetric (possibly sign-changing) solutions of a supercritical semilinear heat equation are studied. Various characterizations of type I and type II blow-ups are given and some results on continuation beyond blow-up are established. Among other things, the authors show that if blow-up is of type I and incomplete then its continuation becomes smooth immediately after blow-up, and that type I blow-up implies ``type I regularization''.
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semilinear heat equation
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supercritical source term
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self-similar solutions
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continuation beyond blow-up
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0.9210233
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0.8870293
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