Global analysis of the shadow Gierer-Meinhardt system with general linear boundary conditions in a random environment
Analysis of PDEs
2021-09-13 v2
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 a priori estimates of solutions.
Keywords
Cite
@article{arxiv.1907.10122,
title = {Global analysis of the shadow Gierer-Meinhardt system with general linear boundary conditions in a random environment},
author = {Kwadwo Antwi-Fordjour and Seonguk Kim and Marius Nkashama},
journal= {arXiv preprint arXiv:1907.10122},
year = {2021}
}