Some sharp estimates for parabolic equations (Q5953428)
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scientific article; zbMATH DE number 1694244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some sharp estimates for parabolic equations |
scientific article; zbMATH DE number 1694244 |
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Some sharp estimates for parabolic equations (English)
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22 July 2002
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The author derives an optimal bound for the smoothing effect of abstract parabolic equations on a Hilbert space. Moreover he discusses the application to global existence of ``small'' solutions to the heat equation with explosive nonlinearity. The estimate mentioned above is equal to prove rather sharp global existence results for some nonlinear perturbations and suitable initial data in a quite simple and convenient way.
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optimal bound
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heat equation with explosive nonlinearity
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