Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results (Q1430328)
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scientific article; zbMATH DE number 2069687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results |
scientific article; zbMATH DE number 2069687 |
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Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results (English)
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27 May 2004
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In the work the equation \(u_t = \frac12 u_{xx} + \varepsilon x^m u^n u^p_x\) is considered. The authors use renormalization group methods, in particular, to examine terms \(O(\varepsilon^2)\) and higher. For some cases these results are verified by rigorous calculations.
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renormalization group
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decay of solutions
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asymptotic self-similarity
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