Simultaneous blow-up of the solution for a singular parabolic system with concentrated sources

Abstract

A singular parabolic system with homogeneous Dirichlet boundary conditions and concentrated nonlinear reaction sources was examined. This paper investigated the existence and uniqueness of the solution. The sufficient conditions for the solution being blown up simultaneously in a finite time were determined. In addition, it was shown that the solution blew up everywhere in the domain except boundary points.

Keywords

• blow-up
• dirac delta function
• green's function
• singular parabolic problem