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arXiv · 1509.04494

Schr\"odinger equation on locally symmetric spaces

Anestis Fotiadis·Nikolaos Mandouvalos·Michel Marias
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Abstract

We prove dispersive and Strichartz estimates for Schr\"o- dinger equations on a class of locally symmetric spaces {\Gamma}\X, where X = G/K is a symmetric space and {\Gamma} is a torsion free discrete sub- group of G. We deal with the cases when either X has rank one or G is complex. We present Strichartz estimates applications to the well-posedness and scattering for nonlinear Schr\"odinger equations.

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Anestis Fotiadis, Nikolaos Mandouvalos, Michel Marias. 2015-09-15. Schr\"odinger equation on locally symmetric spaces. https://arxiv.org/abs/1509.04494

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