Interpolation inequalities and spectral estimates for magnetic operators
Analysis of PDEs
2018-05-09 v2
Abstract
We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{\"o}dinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that our theoretical estimates are accurate.
Keywords
Cite
@article{arxiv.1706.02950,
title = {Interpolation inequalities and spectral estimates for magnetic operators},
author = {Jean Dolbeault and Maria J. Esteban and Ari Laptev and Michael Loss},
journal= {arXiv preprint arXiv:1706.02950},
year = {2018}
}