Dispersive Estimates for Scalar and Matrix Schrödinger operators on ${\mathbb{H}}^{n+1}$

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 $n\ge 1$.

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

References in corpus (3)

• Dispersive estimates for Schrodinger operators in dimensions one and three
• Dispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues I: The odd dimensional case
• On scattering for NLS: from Euclidean to hyperbolic space

Cited by in corpus (2)

• Existence of resonances for Schrodinger operators on hyperbolic space
• Equivariant Schrödinger maps from two dimensional hyperbolic space