Spectral Inequalities for the Schrödinger operator

2019/01/11 by Gilles Lebeau, Lebeau, Gilles, Iván Moyano +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1901.03513

openalex publication_date 2019/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Schrödinger operator in ℝ^d H_g,V = Δ_g + V(x), where Δ_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.

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