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Existence and uniqueness of weak solutions for some singular evolutionary system in image denoising
Authors:Qiang Liu  Tianling Gao  Li Xia
Affiliation:1. College of Mathematics and Computational Science, Shenzhen University, , 518060 Shenzhen, China;2. College of Mathematics and Computational Science, Guangdong University of Business Studies, , 510320 Guangzhou, China
Abstract:In this paper, we prove the existence and uniqueness of weak solutions for some singular evolutionary system, which is deduced from one of the Chambolle–Lions denoising models. The main method we used is p‐Laplace regularization. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:TV flow  existence and uniqueness  image denoising
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