On the Fundamental Eigenvalues gap of Sturm-Liouville Operators
Spectral Theory
2024-07-04 v2
Abstract
We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity.
Keywords
Cite
@article{arxiv.2407.02459,
title = {On the Fundamental Eigenvalues gap of Sturm-Liouville Operators},
author = {Mohammed Ahrami and Zakaria El Allali and Evans M. Harrell},
journal= {arXiv preprint arXiv:2407.02459},
year = {2024}
}