L. E. Payne and G. A. Philippin, “On Blow-Up Phenomena for Solutions of a Class of Nonlinear Parabolic Problems with Time Dependent Coefficients under Dirichlet Boundary Conditions,” Proceedings of the American Mathematical Sociery, accepted.

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.