Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 94, pp. 1-8.

Title: A blow up condition for a nonautonomous semilinear system

Author: Aroldo Perez-Perez (Univ. Juarez Autonoma de Tabasco, Mexico)
	 
Abstract: 
 We give a sufficient condition for finite time blow up of the
 nonnegative mild solution to a nonautonomous weakly coupled system
 with fractal diffusion having a time dependent factor  which is
 continuous and nonnegative.
 
Submitted July 14, 2006. Published August 18, 2006.
Math Subject Classifications: 35B40, 35K45, 35K55, 35K57.
Key Words: Finite time blow up; mild solution; weakly coupled system;
           nonautonomous initial value problem; fractal diffusion.