Schr\"odinger equation on locally symmetric spaces
Analysis of PDEs
2015-09-16 v1
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.
Keywords
Cite
@article{arxiv.1509.04494,
title = {Schr\"odinger equation on locally symmetric spaces},
author = {Anestis Fotiadis and Nikolaos Mandouvalos and Michel Marias},
journal= {arXiv preprint arXiv:1509.04494},
year = {2015}
}