Global Strichartz estimates for nontrapping perturbations of the Laplacian

TL;DR

This paper establishes global Strichartz estimates for wave operators with compact perturbations in odd dimensions, under a non-trapping condition, advancing understanding of wave behavior in perturbed geometries.

Contribution

It provides the first proof of such estimates for nontrapping perturbations of the Laplacian in odd-dimensional spaces.

Findings

Proved global Strichartz estimates for nontrapping perturbations

Demonstrated estimates hold in odd dimensions

Extended previous results to a broader class of operators

Abstract

The authors prove global Strichartz estimates for compact perturbations of the wave operator in odd dimensions when a non-trapping assumption is satisfied.