This article is cited in 7 papers

On solutions for the Kadomtsev–Petviashvili I equation

J. E. Colliander^a, C. E. Kenig^b, G. Staffilani<sup>cd

a</sup> University of Toronto
^b University of Chicago
^c Stanford University
^d Brown University

Abstract: Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.

Key words and phrases: Kadomtsev–Petviashvili equation, initial value problem, well-posedness, oscillatory intergals.

MSC: 35Q53, 35D25

Received: November 2, 2001; in revised form December 3, 2001

Language: English

DOI: 10.17323/1609-4514-2001-1-4-491-520

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