61 citations · 108 across the 22 of their papers we have counts for
3 papers · 1 filter
Global well-posedness and scattering for the Dysthe equation in
Razvan Mosincat, Didier Pilod, Jean-Claude Saut
This paper focuses on the Dysthe equation which is a higher order approximation of the water waves system in the modulation (Schrödinger) regime and in the infinite depth case. We…
Dispersive estimates for full dispersion KP equations
Didier Pilod, Jean-Claude Saut, Sigmund Selberg +1
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev-Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Ka…
On the unique continuation of solutions to non-local non-linear dispersive equations
Carlos E. Kenig, Didier Pilod, Gustavo Ponce +1
We prove unique continuation properties of solutions to a large class of nonlinear, non-local dispersive equations. The goal is to show that if are two suitable solutio…