Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\) (Q630570)
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scientific article; zbMATH DE number 5867210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\) |
scientific article; zbMATH DE number 5867210 |
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Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\) (English)
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17 March 2011
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The blow-up time and the blow-up set of positive solutions of a semilinear heat equation with a large diffusion coefficient is studied. It is shown that under suitable assumptions on initial data the location of the blow-up set depends on the large time behavior of the hot spots of solutions of the linear heat equation.
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semilinear heat equation
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large diffusion
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blow-up set
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hot spots
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0.9856604
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0.95186627
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0.9518124
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0.94972897
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0.93478686
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0.93351376
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0.9306588
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