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Existence and uniqueness of weak solutions for some singular evolutionary system in image denoising
Author(s) -
Liu Qiang,
Gao Tianling,
Xia Li
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2916
Subject(s) - uniqueness , mathematics , regularization (linguistics) , image denoising , laplace transform , mathematical analysis , image (mathematics) , pure mathematics , computer science , artificial intelligence
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.