Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators
Analysis of PDEs
2016-01-08 v1
Abstract
We discuss properties of -eigenfunctions of Schr\"odinger operators and elliptic partial differential operators. The focus is set on unique continuation principles and equidistribution properties. We review recent results and announce new ones.
Cite
@article{arxiv.1405.1659,
title = {Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators},
author = {Denis Borisov and Martin Tautenhahn and Ivan Veselic},
journal= {arXiv preprint arXiv:1405.1659},
year = {2016}
}
Comments
Keywords: scale-free unique continuation property, equidistribution property, observability estimate, uncertainty relation, Carleman estimate, Schr\"odinger operator, elliptic differential equation