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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Zhang, Y. Schrödinger Equations on Compact Globally Symmetric Spaces. J Geom Anal 31, 10778–10819 (2021). https://doi.org/10.1007/s12220-021-00664-7
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DOI: https://doi.org/10.1007/s12220-021-00664-7