Special Session 69: 

Global existence and blow-up of positive solutions for a singular Gierer-Meinhardt system

Shaohua Chen
Cape Breton university
Canada
Co-Author(s):    
Abstract:
We discuss global existence and blow-up of positive solutions for a singular Gierer-Meinhardt system subject to zero Dirichlet boundary conditions. We first prove the existence of a local solution and then obtain a global solution and several blow-up solutions under various conditions for parameters.