Vol. 9, No. 4, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 16
Issue 9, 1989–2240
Issue 8, 1745–1988
Issue 7, 1485–1744
Issue 6, 1289–1483
Issue 5, 1089–1288
Issue 4, 891–1088
Issue 3, 613–890
Issue 2, 309–612
Issue 1, 1–308

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
 
Other MSP Journals
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