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.
Mots clés : weak solutions, parabolic-elliptic system, image inpainting
@article{COCV_2010__16_4_1040_0,
author = {Jin, Zhengmeng and Yang, Xiaoping},
title = {Weak solutions of a parabolic-elliptic type system for image inpainting},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {1040--1052},
publisher = {EDP-Sciences},
volume = {16},
number = {4},
year = {2010},
doi = {10.1051/cocv/2009032},
mrnumber = {2744161},
zbl = {1205.35041},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2009032/}
}
TY - JOUR AU - Jin, Zhengmeng AU - Yang, Xiaoping TI - Weak solutions of a parabolic-elliptic type system for image inpainting JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2010 SP - 1040 EP - 1052 VL - 16 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2009032/ DO - 10.1051/cocv/2009032 LA - en ID - COCV_2010__16_4_1040_0 ER -
%0 Journal Article %A Jin, Zhengmeng %A Yang, Xiaoping %T Weak solutions of a parabolic-elliptic type system for image inpainting %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 1040-1052 %V 16 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2009032/ %R 10.1051/cocv/2009032 %G en %F COCV_2010__16_4_1040_0
Jin, Zhengmeng; Yang, Xiaoping. Weak solutions of a parabolic-elliptic type system for image inpainting. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 4, pp. 1040-1052. doi : 10.1051/cocv/2009032. http://www.numdam.org/articles/10.1051/cocv/2009032/
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