Positivity and Green's operators
Analysis of PDEs
2024-12-23 v4
Abstract
It is well known that positive Green's operators are not necessarily positivity preserving. In this paper we investigate the matter of just how far from being positivity preserving a positive Green's operator can be. We will also identify a broad class of Green's operators that are not necessarily positivity preserving but have properties related to positivity preservation that one expects from positivity preserving Green's operators.
Cite
@article{arxiv.2408.17446,
title = {Positivity and Green's operators},
author = {David Raske},
journal= {arXiv preprint arXiv:2408.17446},
year = {2024}
}
Comments
5 pages. Change made to the proof of Lemma 3.1