Lower bounds for blow-up time in a nonlinear parabolic problem

Lower bounds for blow-up time in a nonlinear parabolic problem
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DOI:
10.1016/j.jmaa.2009.01.010
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发表时间:
2009-06
影响因子:
1.3
通讯作者:
L. Payne;J. C. Song
L. Payne;J. C. Song
中科院分区:
数学3区
文献类型:
--
作者:
L. Payne;J. C. Song

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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