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.