2000 Blow-up behavior for semilinear heat equations in nonconvex domains
Chi-Cheung Poon
Differential Integral Equations 13(7-9): 1111-1138 (2000). DOI: 10.57262/die/1356061213

Abstract

We study solutions of the parabolic equation $u_t = \Delta u + u^p$. We wish to extend some results of Giga and Kohn to the situations where the solution, $u$, is defined on a $C^{2,\alpha}$ domain and satisfies the Dirichlet or the Neumann boundary condition.

Citation

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Chi-Cheung Poon. "Blow-up behavior for semilinear heat equations in nonconvex domains." Differential Integral Equations 13 (7-9) 1111 - 1138, 2000. https://doi.org/10.57262/die/1356061213

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0990.35022
MathSciNet: MR1775249
Digital Object Identifier: 10.57262/die/1356061213

Subjects:
Primary: 35K57
Secondary: 35B40

Rights: Copyright © 2000 Khayyam Publishing, Inc.

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Vol.13 • No. 7-9 • 2000
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