Blow-up phenomena for some nonlinear parabolic problems

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Abstract

We consider the blow-up of solutions of equations of the form ut= div (ρ (| ∇ u |2) grad u) + f (u) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur. © 2007 Elsevier Ltd. All rights reserved.

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Payne, L. E., Philippin, G. A., & Schaefer, P. W. (2008). Blow-up phenomena for some nonlinear parabolic problems. Nonlinear Analysis, Theory, Methods and Applications, 69(10), 3495–3502. https://doi.org/10.1016/j.na.2007.09.035

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