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 AM  Vol.8 No.6 , June 2017
Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions
Kwadwo Antwi-Fordjour1, Marius Nkashama2
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Abstract: We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.
Keywords: Activator-Inhibitor System, Gierer-Meinhardt System, Robin and Neumann Boundary Conditions, Global Existence
Cite this paper: Antwi-Fordjour, K. and Nkashama, M. (2017) Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions. Applied Mathematics, 8, 857-867. doi: 10.4236/am.2017.86067.
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