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arXiv:math/0112025 [math.AP]AbstractReferencesReviewsResources

On solutions for the Kadomtsev-Petviashvili I equation

J. Colliander, C. Kenig, G. Staffilani

Published 2001-12-03, updated 2001-12-06Version 3

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.

Comments: fixed mistaken replacement with the proper file. The paper is to appear in Moscow Mathematical Journal
Categories: math.AP
Subjects: 35Q53, 35Q55
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