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.

arXiv commentFinal version

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Cited by in corpus (2)

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