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 ${ℝ}^{3}$ for the Schrödinger evolution generated by the Hamiltonian $H=-\Delta +V$, under optimal decay conditions on $V$, in the presence of zero-energy eigenstates and resonances.

Keywords
pointwise decay estimates, resonances, zero-energy eigenfunctions
Primary: 35J10
Secondary: 47D08