Amal Aarab, Nour Eddine Alaa, Hamza Khalfi
Abstract:
This article provides the existence of a global solution to a generic
reaction-diffusion system. The main result is a generalization of the
work presented by [2,5,11] in the case of a reaction-diffusion equation.
We show the existence of a global weak solution to the considered
system in the case of quasi-positivity and a triangular structure condition
on the nonlinearities [12]. An example of application of our result
is demonstrated on a novel bio-inspired image restoration model [1].
Submitted October 11, 2017. Published June 18, 2018.
Math Subject Classifications: 35J55, 35J60, 35J70.
Key Words: Reaction Diffusion; image restoration; parabolic system;
nonlinear partial differential equation; Schauder fixed point.
Show me the PDF file (450 KB), TEX file for this article.
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Amal Aarab Faculty of Science and Technology Laboratory LAMAI, Marrakesh, Morocco email: amal.aarab@edu.uca.ma |
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Nour Eddine Alaa Faculty of Science and Technology Laboratory LAMAI, Marrakesh, Morocco email: n.alaa@uca.ma |
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Hamza Khalfi Faculty of Science and Technology Laboratory LAMAI, Marrakesh, Morocco email: hamza.khalfi@edu.uca.ma |
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