On Strichartz estimates for Schr\"{o}dinger operators in compact manifolds with boundary

TL;DR

This paper establishes local Strichartz estimates for Schrödinger operators on compact manifolds with boundary, extending the results to manifolds with Lipschitz metrics, which are important for understanding wave behavior in constrained geometries.

Contribution

The paper provides new local Strichartz estimates for Schrödinger operators on manifolds with boundary and Lipschitz metrics, broadening the scope of previous results.

Findings

Proved local Strichartz estimates on manifolds with boundary.

Extended estimates to manifolds with Lipschitz metrics.

Applicable to analysis of Schrödinger equations in constrained geometries.

Abstract

We prove local Strichartz estimates on compact manifolds with boundary. Our results also apply more generally to compact manifolds with Lipschitz metrics.