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

By Lawrence E. Payne, J. C. Song. 2009

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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

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f0b1cd3cf974d05e9633cd7841ec10f3ca43ea36