Vol. 2, No. 1, 2009

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

Volume 10
Issue 2, 253–512
Issue 1, 1–252

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
Cover
About the Cover
Editorial Board
Editors’ Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Subscriptions
Editorial Login
Contacts
Author Index
To Appear
 
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

Shuanglin Shao

Vol. 2 (2009), No. 1, 83–117
Abstract

We establish the linear profile decomposition for the Airy equation with complex or real initial data in L2. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality.

Keywords
gKdV, mass-critical, profile decomposition, maximizer
Mathematical Subject Classification 2000
Primary: 35Q53
Milestones
Received: 31 August 2008
Revised: 17 February 2009
Accepted: 17 February 2009
Published: 1 February 2009
Authors
Shuanglin Shao
Department of Mathematics
University of California, Los Angeles
Los Angeles, CA 90095
United States
School of Mathematics
Institute for Advanced Study
Princeton, NJ 08540
United States