A few topics on total variation flows
Analysis of PDEs
2024-01-31 v1
Abstract
Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including definition of a solution, explicit examples and the notion of calibrability, finite time extinction, and some regularity properties of solutions. We focus on the second-order flow (possibly with weights) and the fourth-order flow. We also discuss the fractional cases.
Keywords
Cite
@article{arxiv.2401.17179,
title = {A few topics on total variation flows},
author = {Yoshikazu Giga and Hirotoshi Kuroda and Michał Łasica},
journal= {arXiv preprint arXiv:2401.17179},
year = {2024}
}
Comments
42 pages, 2 figures