Bounds on eigenfunctions of semiclassical operators with double characteristics
Analysis of PDEs
2017-07-07 v2 Spectral Theory
Abstract
We obtain sharp uniform bounds on the low lying eigenfunctions for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, under the assumption that the quadratic approximations along the double characteristics are elliptic.
Keywords
Cite
@article{arxiv.1504.01069,
title = {Bounds on eigenfunctions of semiclassical operators with double characteristics},
author = {Katya Krupchyk and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1504.01069},
year = {2017}
}