Dispersive Estimates for Scalar and Matrix Schr\"odinger operators on $\mathbb{H}^{n+1}$
Analysis of PDEs
2015-09-02 v4
Abstract
We study resolvent estimates, spectral theory and long time dispersive properties of scalar and matrix Schr\"odinger-type operators on for .
Keywords
Cite
@article{arxiv.1410.8829,
title = {Dispersive Estimates for Scalar and Matrix Schr\"odinger operators on $\mathbb{H}^{n+1}$},
author = {David Borthwick and Jeremy L. Marzuola},
journal= {arXiv preprint arXiv:1410.8829},
year = {2015}
}
Comments
29 pages. Conjecture in Intro changed to account for a partial answer to the negative of one component given by a recent result of Banica-Duyckaerts in arXiv:1411.0846, reference added, instability of bound states for cubic NLS on H^2 noted, time scales addressed