Article ID Journal Published Year Pages File Type
844441 Nonlinear Analysis: Theory, Methods & Applications 2008 8 Pages PDF
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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Physical Sciences and Engineering Engineering Engineering (General)
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