The lifespan of small data solutions to the KP-I

2014/09/16 by Harrop-Griffiths, Benjamin, Ifrim, Mihaela, Tataru, Daniel
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.4487

Abstract

We show that for small, localized initial data there exists a global solution to the KP-I equation in a Galilean-invariant space using the method of testing by wave packets.

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