ESAIM: Control, Optimisation and Calculus of Variations

Table of Contents - October 2010 - Volume 16, Issue 04  

Research Article

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

Jin, Zhengmenga1 and Yang, Xiaopinga1

a1 School of Science, Nanjing University of Science & Technology, Nanjing 210094, Jiangsu, P. R. China. jzhm353@yahoo.com.cn; yangxp@mail.njust.edu.cn

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.

(Received April 5 2009)

(Revised May 8 2009)

(Online publication August 11 2009)

Key Words:

  • Weak solutions;
  • parabolic-elliptic system;
  • image inpainting

Mathematics Subject Classification:

  • 35D05;
  • 68U10