Special Session 54: 

Global analysis of the shadow Gierer-Meinhardt system with general linear boundary conditions in a random environment

Kwadwo Antwi-Fordjour
Samford University
USA
Co-Author(s):    Seonguk Kim and Marius Nkashama
Abstract:
The global analysis of the shadow Gierer-Meinhardt system with multiplicative white noise and general linear boundary conditions is investigated in this talk. For this reaction-diffusion system, we employ a fixed point argument to prove local existence and uniqueness of solutions. Our results on global existence are based on a priori estimates of solutions.