Eigenvalue bounds for the fractional Laplacian: A review
Spectral Theory
2017-11-07 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We review some recent results on eigenvalues of fractional Laplacians and fractional Schr\"odinger operators. We discuss, in particular, Lieb-Thirring inequalities and their generalizations, as well as semi-classical asymptotics.
Keywords
Cite
@article{arxiv.1603.09736,
title = {Eigenvalue bounds for the fractional Laplacian: A review},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:1603.09736},
year = {2017}
}
Comments
24 pages; minor revisions