GENERIC REACTION-DIFFUSION MODEL WITH APPLICATION TO IMAGE RESTORATION AND ENHANCEMENT

被引：0

作者：

Aarab, Amal ^{[1
]}

Alaa, Nour Eddine ^{[1
]}

Khalfi, Hamza ^{[1
]}

机构：

[1] Fac Sci & Technol, Lab Lamai, Marrakech, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Reaction Diffusion; image restoration; parabolic system; nonlinear partial differential equation; Schauder fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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].

引用

页数：12

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