Semi-classical resolvent estimates for short-range l ∞ potentials. II

2019/01/04 by Vodev, Georgi
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1901.01004

Abstract

We prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞ (R n), n ≥ 3, of the form V = VL + VS, where VL is a long-range potential which is C 1 with respect to the radial variable, while VS is a short-range potential satisfying VS(x) = O x --δ with δ > 1.

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