Blow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

Abstract

We give a sufficient condition for blow up of positive mild solutions to an initial value problem for a nonautonomous weakly coupled system with distinct fractional diffusions. The proof is based on the study of blow up of a particular system of ordinary differential equations.

Keywords

• Blow up
• weakly coupled system
• mild solution
• fractal diffusion
• nonautonomous initial value problem