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Weak solutions of a parabolic-elliptic type system for image inpainting

Published online by Cambridge University Press:  11 August 2009

Zhengmeng Jin  and
Xiaoping Yang
Zhengmeng Jin
Affiliation:
School of Science, Nanjing University of Science & Technology, Nanjing 210094, Jiangsu, P. R. China. jzhm353@yahoo.com.cn; yangxp@mail.njust.edu.cn
Xiaoping Yang
Affiliation:
School of Science, Nanjing University of Science & Technology, Nanjing 210094, Jiangsu, P. R. China. jzhm353@yahoo.com.cn; yangxp@mail.njust.edu.cn
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Abstract

In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.

Keywords

Weak solutionsparabolic-elliptic systemimage inpainting
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 4 , October 2010 , pp. 1040 - 1052
Copyright
© EDP Sciences, SMAI, 2009

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