Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844441 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 8 Pages |
Abstract
We study radially symmetric classical solutions of the Dirichlet problem for a heat equation with a supercritical nonlinear source. We give a sufficient condition under which blow-up in infinite time cannot occur. This condition involves only the growth rate of the source term at infinity. We do not need the homogeneity property which played a key role in previous proofs of similar results. We also establish the blow-up rate for a class of solutions which blow up in finite time.
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Authors
Xinfu Chen, Marek Fila, Jong-Shenq Guo,