A div-curl inequality for orthonormal functions
Analysis of PDEs
2023-09-18 v1 Mathematical Physics
Functional Analysis
math.MP
Spectral Theory
Abstract
We prove a bound on the sum of the product of curl-free and divergence-free vector fields. Under appropriate orthonormality conditions our bound scales sublinearly in the number of terms, similar in spirit to Lieb--Thirring inequalities.
Cite
@article{arxiv.2309.08014,
title = {A div-curl inequality for orthonormal functions},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:2309.08014},
year = {2023}
}
Comments
11 pages; dedicated to Fritz Gesztesy on the occasion of his 70th birthday