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arXiv · 2005.00429

Schrödinger equations on compact globally symmetric spaces

Yunfeng Zhang
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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.

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Yunfeng Zhang. 2021-03-12. Schrödinger equations on compact globally symmetric spaces. https://doi.org/10.1007/s12220-021-00664-7

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