Existence and uniqueness of an entropy solution for a nonlinear reaction-diffusion system applied to texture analysis

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Zirhem, Mariam¹  Alaa, Nour Eddine¹ 

[1] Cadi Ayyad Univ, Fac Sci & Technol, LAMAI Lab, Marrakech, Morocco

关键词: Reaction-diffusion equations;    Nonlinear PDE of parabolic type;    Entropy solution;    A priori estimates;   

DOI  :  10.1016/j.jmaa.2019.123719

来源: Elsevier

【 摘 要 】

Texture analysis is one of the most important tasks in image processing that refers to a class of mathematical models, which characterize the spatial variations of an image. In order to extract features of interest, we propose a new coupled reaction-diffusion system that results from a non linear minimization problem. New techniques and approaches are used to establish existence and uniqueness of an entropy solution of the proposed system. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free