Schrödinger equations on compact globally symmetric spaces

1 May 2020 · Yunfeng Zhang ·

In this article, we establish scale-invariant Strichartz estimates for the Schr\"odinger 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 Schr\"odinger equations on such spaces in both subcritical and critical regularities.