Aarab, AmalAlaa, Nour EddineKhalfi, Hamza2022-02-142022-02-142018-06-18Aarab, A., Alaa, N. E., & Khalfi, H. (2018). Generic reaction-diffusion model with application to image restoration and enhancement. <i>Electronic Journal of Differential Equations, 2018</i>(125), pp. 1-12.1072-6691https://hdl.handle.net/10877/15325This 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].Text12 pages1 file (.pdf)enAttribution 4.0 InternationalReaction DiffusionImage restorationParabolic systemNonlinear partial differential equationSchauder fixed pointArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.