61 citations · 108 across the 22 of their papers we have counts for
Showing 2013Show all
2 papers · 1 filter
math.AP2013★ 1 cited
Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
Luc Molinet, Didier Pilod
This article is concerned with the Zakharov-Kuznetsov equation {equation} \label{ZK0} \partial_tu+\partial_xΔu+u\partial_xu=0 . {equation} We prove that the associated initial valu…
math.AP2013
Dispersive perturbations of Burgers and hyperbolic equations I : local theory
Felipe Linares, Didier Pilod, Jean-Claude Saut
The aim of this paper is to show how a weakly dispersive perturbation of the inviscid Burgers equation improve (enlarge) the space of resolution of the local Cauchy problem. More g…