May  2008, 20(2): 219-258. doi: 10.3934/dcds.2008.20.219

Weighted low-regularity solutions of the KP-I initial-value problem

1. 

Department of Mathematics University of Toronto, 100 St. George St, Room 4072 Toronto, Ontario M5S 3G3, Canada

2. 

Department of Mathematics University of Wisconsin – Madison, 480 Lincoln Drive Madison, WI 53706, United States

3. 

Department of Mathematics, University of Chicago, IL 60637, United States

4. 

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307

Received  May 2007 Revised  October 2007 Published  November 2007

In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in [2]. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ([3, 4, 5]) in works on the Benjamin-Ono equation and on the Schrödinger map problems.
Citation: J. Colliander, A. D. Ionescu, C. E. Kenig, Gigliola Staffilani. Weighted low-regularity solutions of the KP-I initial-value problem. Discrete & Continuous Dynamical Systems - A, 2008, 20 (2) : 219-258. doi: 10.3934/dcds.2008.20.219
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