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MiS Preprint
9/2003
Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
Miroslav Chlebík, Marek Fila and Pavol Quittner
Abstract
We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solution on a ball. This result illustartes the influence of the gradient term on the profile.
