Schr\"odinger equations on compact globally symmetric spaces
Analysis of PDEs
2023-12-27 v4 Representation Theory
Abstract
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.
Cite
@article{arxiv.2005.00429,
title = {Schr\"odinger equations on compact globally symmetric spaces},
author = {Yunfeng Zhang},
journal= {arXiv preprint arXiv:2005.00429},
year = {2023}
}
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