Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source (Q1288198)
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scientific article; zbMATH DE number 1286237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source |
scientific article; zbMATH DE number 1286237 |
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Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source (English)
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15 October 1999
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The Dirichlet problem for semilinear parabolic equations with nonlocal reaction terms is considered. The nonlinearities are such that blow-up in finite time may occur. For a large class of equations it is shown that solutions have global blow-up and that the rate of blow-up is uniform in compact subsets of the domain. The behavior in a boundary layer is studied, too. Some Fujita-type results are also established for the Cauchy problem.
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semilinear parabolic equations
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nonlocal reaction terms
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finite time blow-up
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boundary layer
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Fujita-type results
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0.9914917
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0.96598023
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0.96405077
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0.9620315
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0.95663095
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0.95046973
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