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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@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}
}