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arxiv: 1609.00436 · v2 · pith:SHVOCGOWnew · submitted 2016-09-02 · 🧮 math.AP · math.SP

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

classification 🧮 math.AP math.SP
keywords imaginarynon-self-adjointodingeroperatorsresolventschrsemiclassicalsubelliptic
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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.

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