Wellposedness of a nonlocal nonlinear diffusion equation of image processing
Analysis of PDEs
2019-06-19 v2
Abstract
Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data. The results heavily rely on the choice of appropriate functional setting inspired by a recent approach to degenerate parabolic equations via so-called singular Riemannian manifolds introduced by Herbert Amann.
Cite
@article{arxiv.1604.02319,
title = {Wellposedness of a nonlocal nonlinear diffusion equation of image processing},
author = {Patrick Guidotti and Yuanzhen Shao},
journal= {arXiv preprint arXiv:1604.02319},
year = {2019}
}