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Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators

Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators

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