Lieb-Thirring inequalities on the torus
Analysis of PDEs
2017-01-04 v1 Spectral Theory
Abstract
We consider the Lieb-Thirring inequalities on the d-dimensional torus with arbitrary periods. In the space of functions with zero average with respect to the shortest coordinate we prove the Lieb-Thirring inequalities for the -moments of the negative eigenvalues with constants independent of ratio of the periods. Applications to the attractors of the damped Navier-Stokes system are given.
Cite
@article{arxiv.1512.01160,
title = {Lieb-Thirring inequalities on the torus},
author = {Alexei Ilyin and Ari Laptev},
journal= {arXiv preprint arXiv:1512.01160},
year = {2017}
}