Schr\"{o}dinger Equations on normal real form Symmetric Spaces

TL;DR

This paper establishes dispersive and Strichartz estimates for Schrödinger equations on normal real form symmetric spaces, facilitating analysis of well-posedness and scattering in nonlinear contexts.

Contribution

It introduces new dispersive and Strichartz estimates specifically for Schrödinger equations on normal real form symmetric spaces, advancing the mathematical understanding of these equations.

Findings

Proved dispersive estimates on symmetric spaces.

Established Strichartz estimates for Schrödinger equations.

Applied results to nonlinear Schrödinger equation well-posedness and scattering.

Abstract

We prove dispersive and Strichartz estimates for Schr\"{o}dinger equations on normal real form symmetric spaces. These estimates apply to the well-posedness and scattering for the nonlinear Schr\"{o}dinger equations.