Existence and uniqueness of weak solutions for novel anisotropic nonlinear diffusion equations related to image analysis
type: Item
instance of: scholarly article
title: Existence and uniqueness of weak solutions for novel anisotropic nonlinear diffusion equations related to image analysis
zbMATH Open document ID: 1477.94022
DOI: 10.1155/2021/5553126
author: Anas Tiarimti Alaoui
author: Mostafa Jourhmane
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: This paper establishes the existence and uniqueness of weak solutions for the initial-boundary value problem of anisotropic nonlinear diffusion partial differential equations related to image processing and analysis. An implicit iterative method combined with a variational approach has been applied to construct approximate solutions for this problem. Then, under some a priori estimates and a monotonicity condition, the existence of unique weak solutions for this problem has been proven. This work has been complemented by a consistent and stable approximation scheme showing its great significance as an image restoration technique.
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 7361852
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5553126
OpenAlex ID: W3135805719
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description: scientific article; zbMATH DE number 7361852