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L. E. Payne, G. A. Philippin and S. Vernier-Piro, “BlowUp Phenomena for a Semilinear Heat Equation with Nonlinear Boundary Condition, I,” Zeitschrift für Angewandte Mathematik und Physik, Vol. 61, No. 6, 2010, pp. 9991007. doi:10.1007/s00033-010-0071-6

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.