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On the asymptotic behavior of solutions of certain semilinear parabolic equations in \({\mathbb{R}}^ N\) - MaRDI portal

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
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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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