A blow up condition for a nonautonomous semilinear system

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.

Keywords

• Finite time blow up
• mild solution
• weakly coupled system
• nonautonomous initial value problem
• fractal diffusion.