On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
Author(s) -
Laurence Cherfils,
Hussein Fakih,
Alain Miranville
Publication year - 2015
Publication title -
siam journal on imaging sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.944
H-Index - 71
ISSN - 1936-4954
DOI - 10.1137/140985627
Subject(s) - cahn–hilliard equation , logarithm , inpainting , binary number , nonlinear system , mathematics , mathematical analysis , image (mathematics) , computer science , partial differential equation , physics , artificial intelligence , arithmetic , quantum mechanics
Our aim in this paper is to study the existence of local (in time) solutions for the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard equation with logarithmic nonlinear terms. This equation was proposed in view of applications to binary image inpainting. We also give some numerical simulations which show the efficiency of the model.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom