Blowup rate estimates for the heat equation with a nonlinear gradient source term (Q946964)
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scientific article; zbMATH DE number 5347952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blowup rate estimates for the heat equation with a nonlinear gradient source term |
scientific article; zbMATH DE number 5347952 |
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Blowup rate estimates for the heat equation with a nonlinear gradient source term (English)
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29 September 2008
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A semilinear parabolic equation with a superquadratic gradient term is considered. A lower bound for the rate of blow-up of the gradient is established. The corresponding upper bound is shown to hold in one space-dimension for solutions which increase in time. In particular, the blow-up rate is never self-similar.
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gradient blow-up
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blow-up rate
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superquadratic gradient term
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