Schrödinger equations on compact globally symmetric spaces

Abstract

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.

Final version

References in corpus (2)

• The energy-critical nonlinear Schrödinger equation on a product of spheres
• Strichartz estimates for the Schrödinger equation on products of odd-dimensional spheres

Cited by in corpus (2)

• Bounds of restriction of characters to submanifolds
• Local $L^p$ norms of Schr{ö}dinger eigenfunctions on ${\mathbb{S}}^2$