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

2016/09/02 by Bellis, Ben
#Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1609.00436

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.

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