Vol. 1, No. 2, 2019
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Semiclassical resolvent estimates for short-range $L^\infty$ potentials

Georgi Vodev
Vol. 1 (2019), No. 2, 207–214
DOI: 10.2140/paa.2019.1.207
Abstract

We prove semiclassical resolvent estimates for real-valued potentials V ∈ L∞(ℝn), n ≥ 3, satisfying V (x) = O(〈x〉−δ) with δ > 3.

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Keywords
resolvent estimates
Mathematical Subject Classification 2010
Primary: 35P25
Milestones
Received: 12 September 2018
Revised: 23 October 2018
Accepted: 6 December 2018
Published: 20 April 2019
Authors
Georgi Vodev
Université de Nantes
Laboratoire de Mathématiques Jean Leray
Nantes
France