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Volume 10, Number 5, 2020, Pages 1980-1994                                                                DOI:10.11948/20190306
Global analysis of the shadow Gierer-Meinhardt system with general linear boundary conditions in a random environment
Kwadwo Antwi-Fordjour,Seonguk Kim,Marius Nkashama
Keywords:Shadow Gierer-Meinhardt system, multiplicative noise, global existence, linear Robin-Neumann boundary conditions.
      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.
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