Life span for solutions of the heat equation with a nonlinear boundary condition (Q5949486)
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scientific article; zbMATH DE number 1675850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Life span for solutions of the heat equation with a nonlinear boundary condition |
scientific article; zbMATH DE number 1675850 |
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Life span for solutions of the heat equation with a nonlinear boundary condition (English)
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19 September 2002
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The purpose of this paper is to study the blow-up time of positive solutions of the one-dimensional heat equation on a half-line with a nonlinear boundary condition. It is shown that the asymptotic behavior of the blow-up time as the size of the initial data tends to infinity is determined by the natural scaling invariance of the problem.
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heat equation on a half-line
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natural scaling invariance
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blow-up time
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