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Global analysis of the shadow Gierer-Meinhardt system with general linear boundary conditions in a random environment
Authors:Kwadwo Antwi-Fordjour  Seonguk Kim  Marius Nkashama
Institution:Samford University;DePauw University; University of Alabama at Birmingham
Abstract:The global analysis of the shadow Gierer-Meinhardt system with multiplicative white noise and general linear boundary conditions is investigated in this paper. For this reaction-diffusion system, we employ a fixed point argument to prove local existence and uniqueness. Our results on global existence are based on \emph{a priori} estimates of solutions.
Keywords:Shadow Gierer-Meinhardt system    multiplicative noise  global existence  linear Robin-Neumann boundary conditions  
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