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L. E. Payne and P. W. Schaefer, “Lower Bound for Blow -Up Time in Parabolic Problems under Dirichlet Conditions,” Journal of Mathematical Analysis and Applications, Vol. 328, No. 2, 2007, pp. 1196-1205. doi:10.1016/j.jmaa.2006.06.015

has been cited by the following article:

• TITLE: Blow-Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients

  AUTHORS: Lawrence E. Payne, Gérard A. Philippin

  KEYWORDS: Parabolic Systems; Blow-Up; Sobolev Type Inequality

  JOURNAL NAME: Applied Mathematics, Vol.3 No.4, April 27, 2012

  ABSTRACT: Blow-up phenomena for solutions of some nonlinear parabolic systems with time dependent coefficients are investigated. Both lower and upper bounds for the blow-up time are derived when blow-up occurs.