Subelliptic Resolvent Estimates for Non-self-adjoint Semiclassical Schrodinger Operators

Abstract

In this paper we prove a subelliptic resolvent estimate for a class of semiclassical non-self-adjoint Schrödinger operators with purely imaginary potentials when the spectral parameter is in a parabolic neighborhood of the imaginary axis.

In this version we expanded the result to include a general complex potential with non-negative real part

References in corpus (2)

• On the semi-classical analysis of Schrödinger operators with purely imaginary electric potentials in a bounded domain
• Rational invariant tori and band edge spectra for non-selfadjoint operators