Existence of resonances for Schrodinger operators on hyperbolic space

Abstract

We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase.

24 pages. Revision includes minor corrections and additional detail for some proofs

References in corpus (2)

• On scattering for NLS: from Euclidean to hyperbolic space
• Dispersive Estimates for Scalar and Matrix Schrödinger operators on ${\mathbb{H}}^{n+1}$