Vodev, Georgi Semiclassical resolvent estimates for short-range \(L^\infty\) potentials. II. (English) Zbl 1452.35196 Asymptotic Anal. 118, No. 4, 297-312 (2020). Summary: We prove semiclassical resolvent estimates for real-valued potentials \(V \in L^\infty ( \mathbb R^n )\), \(n \geqslant 3\), of the form \(V = V_L + V_S\), where \(V_L\) is a long-range potential which is \(C^1\) with respect to the radial variable, while \(V_S\) is a short-range potential satisfying \(V_S ( x) = \mathcal O ( \langle x \rangle^{- \delta})\) with \(\delta > 1\). Cited in 1 ReviewCited in 4 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:Schrödinger operator; resolvent estimates; short-range potentials PDFBibTeX XMLCite \textit{G. Vodev}, Asymptotic Anal. 118, No. 4, 297--312 (2020; Zbl 1452.35196) Full Text: DOI arXiv