Localization and the landscape function for regular Sturm-Liouville operators
Classical Analysis and ODEs
2023-06-29 v1 Spectral Theory
Abstract
We consider the localization in the eigenfunctions of regular Sturm-Liouville operators. After deriving non-asymptotic and asymptotic lower and upper bounds on the localization coefficient of the eigenfunctions, we characterize the landscape function in terms of the first eigenfunction. Several numerical experiments are provided to illustrate the obtained theoretical results.
Cite
@article{arxiv.2306.16137,
title = {Localization and the landscape function for regular Sturm-Liouville operators},
author = {Mirza Karamehmedović and Faouzi Triki},
journal= {arXiv preprint arXiv:2306.16137},
year = {2023}
}