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.

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

References in corpus (4)

• Semi-classical States for Non-self-adjoint Schrodinger Operators
• On the semi-classical analysis of Schrödinger operators with purely imaginary electric potentials in a bounded domain
• Global stability of the normal state of superconductors in the presence of a strong electric current
• Rational invariant tori and band edge spectra for non-selfadjoint operators