论文标题
紧凑型全球对称空间的schrödinger方程
Schrödinger equations on compact globally symmetric spaces
论文作者
论文摘要
在本文中，我们在任意紧凑型全球对称空间和一些双线性strichartz估算等级的空间产品上建立了Schrödinger方程的规模不变估计。作为应用程序，我们在亚临界和关键规律性的此类空间上为非线性schrödinger方程提供了局部适应性结果。
In this article, we establish scale-invariant Strichartz estimates for the Schrödinger 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 Schrödinger equations on such spaces in both subcritical and critical regularities.
