Complete and energy blow-up in indefinite superlinear parabolic problems (Q865278)
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scientific article; zbMATH DE number 5125750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete and energy blow-up in indefinite superlinear parabolic problems |
scientific article; zbMATH DE number 5125750 |
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Complete and energy blow-up in indefinite superlinear parabolic problems (English)
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13 February 2007
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Blow-up of solutions of a semilinear parabolic equation is studied. In the equation, the usual power nonlinearity is multiplied by a coefficient which depends on the spatial variable and changes sign. It is shown that the solutions never blow-up completely in the whole domain. Sufficient conditions for blow-up of the associated energy functional are also given.
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semilinear heat equation
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blow-up
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changing sign nonlinearities
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