Subelliptic Resolvent Estimates for Non-self-adjoint Semiclassical Schrodinger Operators
Analysis of PDEs
2016-10-04 v2 Spectral Theory
Abstract
In this paper we prove a subelliptic resolvent estimate for a class of semiclassical non-self-adjoint Schr\"odinger operators with purely imaginary potentials when the spectral parameter is in a parabolic neighborhood of the imaginary axis.
Cite
@article{arxiv.1609.00436,
title = {Subelliptic Resolvent Estimates for Non-self-adjoint Semiclassical Schrodinger Operators},
author = {Ben Bellis},
journal= {arXiv preprint arXiv:1609.00436},
year = {2016}
}
Comments
In this version we expanded the result to include a general complex potential with non-negative real part