Schrödinger equation on locally symmetric spaces
We prove dispersive and Strichartz estimates for Schrö- dinger equations on a class of locally symmetric spaces Γ\X, where X = G/K is a symmetric space and Γ 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 Schrödinger equations.
math.AP↗