$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces
Analysis of PDEs
2024-05-24 v2
Abstract
In this paper we study the -decomposition, , of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case we also study the associated geometric problem and the thresholding parameters.
Keywords
Cite
@article{arxiv.1907.10650,
title = {$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces},
author = {J. M. Mazon and M. Solera and J. Toledo},
journal= {arXiv preprint arXiv:1907.10650},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1905.01130