On the asymptotic behavior of solutions of certain semilinear parabolic equations in \({\mathbb{R}}^ N\) (Q1087728)
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scientific article; zbMATH DE number 3987811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic behavior of solutions of certain semilinear parabolic equations in \({\mathbb{R}}^ N\) |
scientific article; zbMATH DE number 3987811 |
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On the asymptotic behavior of solutions of certain semilinear parabolic equations in \({\mathbb{R}}^ N\) (English)
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1986
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This paper discusses the asymptotic behavior of solutions of the Cauchy problem for problems of the form \[ u_ t-\Delta u+f(u)=0,\quad x\in {\mathbb{R}}^ N,\quad t>0. \] Here f satisfies \(sf(s)>0\), for all \(a\neq 0\).
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semilinear
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asymptotic behavior
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Cauchy problem
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0.9701564
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0.9680145
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0.9676767
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0.9632994
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0.9571135
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0.95426774
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0.95076454
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0.94991934
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