Vol. 5, No. 5, 2012
Download this article
Download this article For screen
For printing
Recent Issues

Volume 16
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
Schrödinger operators and the distribution of resonances in sectors

Tanya J. Christiansen
Vol. 5 (2012), No. 5, 961–982
DOI: 10.2140/apde.2012.5.961
Abstract

The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including properties of functions of completely regular growth. This enables us to find asymptotics for the distribution of resonances in sectors for certain potentials and for certain families of potentials.

Keywords
Schrödinger operator, scattering theory, resonance
Mathematical Subject Classification 2010
Primary: 35P25, 81U05
Secondary: 47A40
Milestones
Received: 22 December 2010
Revised: 13 June 2011
Accepted: 24 October 2011
Published: 29 December 2012
Authors
Tanya J. Christiansen
Department of Mathematics
University of Missouri
Columbia, MO 65211
United States