Journal of Geometric Analysis | 2021
Schrödinger Equations on Compact Globally Symmetric Spaces
Abstract
In this article, we establish scale-invariant Strichartz estimates for the Schrodinger equation on arbitrary compact globally symmetric spaces and some bilinear Strichartz estimates on products of rank-one spaces. As applications, we provide local well-posedness results for nonlinear Schrodinger equations on such spaces in both subcritical and critical regularities.