9 citations · 22 across the 14 of their papers we have counts for
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math.AP2014
The lifespan of small data solutions to the KP-I
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
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.
math.AP2014
Long time behavior of solutions to the mKdV
Benjamin Harrop-Griffiths
In this paper we consider the long time behavior of solutions to the modified Korteweg-de Vries equation on R. For sufficiently small, smooth, decaying data we prove global existen…