L. E. Payne and P. W. Schaefer, “Bounds for the BlowUp Time for the Heat Equation under Nonlinear Boundary Conditions,” Proceedings of the Royal Society of Edinburgh, Vol. 139, No. 6, 2009, pp. 1289-1296.

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.