Dispersive Estimates for Scalar and Matrix Schrödinger operators on $\mathbb{H}^{n+1}$
arXiv:1410.8829 · doi:10.1007/s11040-015-9191-8
Abstract
We study resolvent estimates, spectral theory and long time dispersive properties of scalar and matrix Schrödinger-type operators on $\mathbb{H}^{n+1}$ for $n \geq 1$.
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