Generic reaction-diffusion model with application to image restoration and enhancement
MetadataShow full metadata
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 . An example of application of our result is demonstrated on a novel bio-inspired image restoration model .
CitationAarab, A., Alaa, N. E., & Khalfi, H. (2018). Generic reaction-diffusion model with application to image restoration and enhancement. Electronic Journal of Differential Equations, 2018(125), pp. 1-12.
This work is licensed under a Creative Commons Attribution 4.0 International License.