Life Span for Solutions of the Heat Equation with a Nonlinear Boundary Condition

Abstract

In this note we obtain estimates in terms of the size of the initial data for the blow-up time of positive solutions of the heat equation in R+ with a nonlinear boundary condition −ux(0, t) = up(0, t). Introduction. In this note we obtain estimates for the blow-up time of positive solutions of the following parabolic problem (1)  ut = uxx in R+ × (0, T… (More)

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Cite this paper

@inproceedings{Bonder2001LifeSF, title={Life Span for Solutions of the Heat Equation with a Nonlinear Boundary Condition}, author={Juli{\'a}n Fern{\'a}ndez Bonder}, year={2001} }