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Moscow Mathematical Journal, 2001, Volume 1, Number 4, Pages 491–520
DOI: https://doi.org/10.17323/1609-4514-2001-1-4-491-520
(Mi mmj33)
 

This article is cited in 7 scientific papers (total in 8 papers)

On solutions for the Kadomtsev–Petviashvili I equation

J. E. Colliandera, C. E. Kenigb, G. Staffilanicd

a University of Toronto
b University of Chicago
c Stanford University
d Brown University
Full-text PDF Citations (8)
References:
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.
Received: November 2, 2001; in revised form December 3, 2001
Bibliographic databases:
MSC: 35Q53, 35D25
Language: English
Citation: J. E. Colliander, C. E. Kenig, G. Staffilani, “On solutions for the Kadomtsev–Petviashvili I equation”, Mosc. Math. J., 1:4 (2001), 491–520
Citation in format AMSBIB
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\by J.~E.~Colliander, C.~E.~Kenig, G.~Staffilani
\paper On solutions for the Kadomtsev--Petviashvili~I equation
\jour Mosc. Math.~J.
\yr 2001
\vol 1
\issue 4
\pages 491--520
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