Dispersive Estimates in R^3 with Threshold Resonances
Analysis of PDEs
2016-08-03 v2 Mathematical Physics
math.MP
Abstract
We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -\Delta+V, under optimal decay conditions on V, in the presence of zero energy eigenfunctions and resonances.
Keywords
Cite
@article{arxiv.1201.5331,
title = {Dispersive Estimates in R^3 with Threshold Resonances},
author = {Marius Beceanu},
journal= {arXiv preprint arXiv:1201.5331},
year = {2016}
}
Comments
45 pages. Substantially changed from previous version. Now includes the case of zero energy eigenfunctions. The title of the published version has been changed to "Dispersive Estimates in R^3 with Threshold Eigenstates and Resonances"