Spectral Inequalities for the Schr{ö}dinger operator

In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schr\"odinger operator in \( \mathbb{R}^d\) \begin{equation*} H_{g,V} = \Delta_g + V(x), \end{equation*} where \(...

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Bibliographic Details
Published in:arXiv.org 2019-01
Main Authors: Lebeau, Gilles, Moyano, Iván
Format: Article
Language:English
Subjects:
Inequalities
Spectra
Online Access:Get full text
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Summary:In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schr\"odinger operator in \( \mathbb{R}^d\) \begin{equation*} H_{g,V} = \Delta_g + V(x), \end{equation*} where \(\Delta_g\) is the Laplace-Beltrami operator with respect to an analytic metric \(g\), which is a perturbation of the Euclidean metric, and \(V(x)\) a real valued analytic potential vanishing at infinity.
ISSN:2331-8422