a1 Department of Mathematics, Cornell University, Ithaca, NY 14853, USA, (email@example.com)
a2 Department of Mathematics, University of Tennessee, Knoxville, TN 37916, USA (firstname.lastname@example.org)
A differential inequality technique is used to determine a lower bound on the blow-up time for solutions to the heat equation subject to a nonlinear boundary condition when blow-up of the solution does occur. In addition, a sufficient condition which implies that blow-up does occur is determined.
(Received September 23 2008)
(Accepted January 22 2009)