Generic reaction-diffusion model with application to image restoration and enhancement

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dc.contributor.authorAarab, Amal
dc.contributor.authorAlaa, Nour Eddine
dc.contributor.authorKhalfi, Hamza
dc.date.accessioned2022-02-14T19:15:10Z
dc.date.available2022-02-14T19:15:10Z
dc.date.issued2018-06-18
dc.description.abstractThis 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].
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAarab, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15325
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectReaction Diffusion
dc.subjectImage restoration
dc.subjectParabolic system
dc.subjectNonlinear partial differential equation
dc.subjectSchauder fixed point
dc.titleGeneric reaction-diffusion model with application to image restoration and enhancement
dc.typeArticle

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