Lower bounds for blow-up time in a nonlinear parabolic problem |
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| Authors: | LE Payne |
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| Institution: | a Department of Mathematics, Cornell University, Ithaca, NY 14853-4201, USA
b Department of Applied Mathematics, Hanyang, Hanyang University, Ansan, Gyeonggido 426-791, South Korea |
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| Abstract: | For a parabolic problem with a gradient nonlinearity which was introduced by Chipot and Weissler M. Chipot, F.B. Weissler, Some blow up results for a nonlinear parabolic problem with a gradient term, SIAM J. Math. Anal. 20 (1989) 886-907] (see also B. Kawohl, L.A. Peletier, Observations on blow up and dead cores for nonlinear parabolic equations, Math. Z. 202 (1989) 207-217]), the question of blow-up is investigated. Specifically, if the solution blows up, a lower bound for the time of blow-up is derived |
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| Keywords: | Lower bound Blow-up Gradient nonlinearity |
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