Low frequency estimates for long range perturbations in divergence form

TL;DR

This paper establishes low frequency estimates for the boundary values of the resolvent associated with long-range perturbations of the flat Laplacian in divergence form, advancing understanding of their spectral properties.

Contribution

It provides new low frequency resolvent estimates for long-range divergence form perturbations of the Laplacian, a novel result in spectral analysis.

Findings

Established low frequency resolvent boundary estimates

Analyzed long-range divergence form perturbations

Enhanced spectral understanding of perturbed Laplacians

Abstract

We prove low frequency estimates for the boundary values of the resolvent of long range perturbations of the flat Laplacian in divergence form.