On the Dirichlet problem for the one-dimensional ROF functional
Analysis of PDEs
2024-08-27 v1
Abstract
We provide a number of sufficient conditions for that minimizers of the one-dimensional Rudin-Osher-Fatemi functional satisfy the Dirichlet data in the trace sense. For this purpose we use results specific for the total variation flow. We also show a number of counterexamples.
Keywords
Cite
@article{arxiv.2408.13662,
title = {On the Dirichlet problem for the one-dimensional ROF functional},
author = {Piotr Rybka},
journal= {arXiv preprint arXiv:2408.13662},
year = {2024}
}
Comments
20 pages