61 citations · 108 across the 22 of their papers we have counts for
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math.AP2015
Local well-posedness for the KdV hierarchy at high regularity
Carlos Kenig, Didier Pilod
We prove well-posedness in -based Sobolev spaces at high regularity for a class of nonlinear higher-order dispersive equations generalizing the KdV hierarchy both on the…
math.AP2015
Remarks on the orbital stability of ground state solutions of fKdV and related equations
Felipe Linares, Didier Pilod, Jean-Claude Saut
The aim of this paper is to provide a proof of the (conditional) orbital stability of solitary waves solutions to the fractional Korteweg- de Vries equation (fKdV) and to the fract…