19 citations · 36 across the 8 of their papers we have counts for
7 papers · 1 filter
Large data global well-posedness for the modified Novikov-Veselov system
Adrian Nachman, Peter Perry, Daniel Tataru
The modified Novikov-Veselov system (mNV) is a cubic third order dispersive evolution in two space dimensions. It is also completely integrable, belonging to the same hierarchy as…
The modified Novikov-Veslov Equation and the Inverse Scattering Transform
Peter A. Perry
This paper corrects several errors in the author's previous papers (Journal of Spectral Theory 2016, Analysis and PDE 2014) on the Davey-Stewartson II (DS II) and modified Novikov-…
Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
Samir Donmazov, Jiaqi Liu, Peter Perry
We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise descripti…
Action of a scattering map on weighted Sobolev spaces in the plane
R. M. Brown, K. A. Ott, P. A. Perry
We consider a scattering map that arises in the -approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map b…
Exceptional circles of radial potentials
Michael Music, Peter Perry, Samuli Siltanen
A nonlinear scattering transform is studied for the two-dimensional Schrodinger equation at zero energy with a radial potential. First explicit examples are presented, both theoret…
Global Well-Posedness and Long-time Asymptotics for the Defocussing Davey-Stewartson II Equation in
Peter A. Perry
We show that the inverse scattering map for the linear system associated with the defocussing Davey-Stewartson II equation is locally Lipschitz continuous with locally Lipschitz co…