Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition (Q1876286)
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scientific article; zbMATH DE number 2091877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition |
scientific article; zbMATH DE number 2091877 |
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Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition (English)
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16 August 2004
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The authors study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions they prove that the blow-up point occurs only at the boundary. Applying the Giga-Kohn method they derive the time asymptotic of solutions near the blow-up time. Finally, it is proved that the blow-up is complete.
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blow-up point
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blow-up time
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Giga-Kohn method
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