The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations (Q713336)
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scientific article; zbMATH DE number 6099365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations |
scientific article; zbMATH DE number 6099365 |
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The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations (English)
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26 October 2012
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The main aim of the paper is to establish results on stability and instability of forward self-similar solutions of a semilinear heat equation by constructing suitable sub- and super-solutions.
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semilinear heat equation
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self-similar solution
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blow-up
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asymptotic behavior
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stability and instability
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sub- and super-solutions
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