Self-similar solutions of a nonlinear heat equation (Q2780732)
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scientific article; zbMATH DE number 1719958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-similar solutions of a nonlinear heat equation |
scientific article; zbMATH DE number 1719958 |
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20 May 2002
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changing sign solutions
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non-radial solutions
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0.9733069
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0.9719819
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0.9495251
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0.93963885
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0.93950355
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0.9333994
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0.9328802
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Self-similar solutions of a nonlinear heat equation (English)
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The authors study the asymptotic behaviour of certain solutions of the nonlinear heat equation NEWLINE\[NEWLINE u_t-\Delta u+|u|^\alpha u=0\quad \text{in} (0,\infty)\times {\mathbb R}^N, \;\alpha>0. NEWLINE\]NEWLINE Special attention is paid to solutions which may change sign and do not necessarily have a radial behaviour as \(|x|\to\infty.\)
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