Strichartz estimates on asymptotically hyperbolic manifolds

TL;DR

This paper establishes local-in-time Strichartz estimates without loss for Schrödinger solutions on asymptotically hyperbolic manifolds, extending the understanding of dispersive PDEs in curved geometries.

Contribution

It proves Strichartz estimates without loss on asymptotically hyperbolic manifolds, a significant advancement in dispersive PDE analysis on non-compact curved spaces.

Findings

Strichartz estimates hold without loss outside large compact sets.

Results apply to a broad class of asymptotically hyperbolic manifolds.

Enhances understanding of Schrödinger equations in curved geometries.

Abstract

We prove local in time Strichartz estimates without loss for the restriction of the solution of the Schroedinger equation, outside a large compact set, on a class of asymptotically hyperbolic manifolds.