| 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. |
| 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. |
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