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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
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
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
Linking options:
https://www.mathnet.ru/eng/mmj33 https://www.mathnet.ru/eng/mmj/v1/i4/p491
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Abstract page: | 323 | References: | 63 |
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