Vol. 9, No. 4, 2016

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Dispersive estimates in $\mathbb{R}^3$ with threshold eigenstates and resonances

Marius Beceanu

Vol. 9 (2016), No. 4, 813–858
Abstract

We prove dispersive estimates in 3 for the Schrödinger evolution generated by the Hamiltonian H = Δ + V, under optimal decay conditions on V, in the presence of zero-energy eigenstates and resonances.

Keywords
pointwise decay estimates, resonances, zero-energy eigenfunctions
Mathematical Subject Classification 2010
Primary: 35J10
Secondary: 47D08
Milestones
Received: 2 March 2015
Revised: 17 December 2015
Accepted: 26 February 2016
Published: 3 July 2016
Authors
Marius Beceanu
Institute for Advanced Study
Einstein Drive
Princeton, NJ 08540
United States