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arXiv:math/0204244 [math.AP]AbstractReferencesReviewsResources

Low regularity solutions for the Kadomtsev-Petviashvili I equation

J. Colliander, C. Kenig, G. Staffilani

Published 2002-04-19, updated 2003-02-13Version 2

In this paper we obtain local in time existence and (suitable) uniqueness and continuous dependence for the KP-I equation for small data in the intersection of the energy space and a natural weighted $L^{2}$ space.

Comments: clarified version emerging from careful reading and input from referees
Categories: math.AP
Subjects: 35Q53, 35Q55, 42B35
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