96 citations · 199 across the 24 of their papers we have counts for
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The Direct Scattering Transform for the Intermediate Long Wave Equation
Peter Perry, Yilun Wu
In this paper, we provide a rigorous study of the direct scattering problem proposed by Kodama, Ablowitz and Satsuma for the complete integrability theory of the Intermediate Long…
Solutions to the Fifth-Order KP II Equation Scatter
Peter Perry, Camille Schuetz
The fifth-order KP II equation (, ) is a nonlinear dispersive equ…
The Derivative Nonlinear Schrödinger Equation: Global Well-Posedness and Soliton Resolution
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We review recent results on global wellposedness and long-time behavior of smooth solutions to the derivative nonlinear Schrödinger (DNLS) equation. Using the integrable character…
Inverse scattering and global well-posedness in one and two space dimensions
Peter A. Perry
These notes are a considerably revised and expanded version of expository lectures given at the Fields Institute Workshop on "Nonlinear Dispersive Partial Differential Equations an…
Nachman's reconstruction for the Calderon problem with discontinuous conductivities
George Lytle, Peter Perry, Samuli Siltanen
We show that Nachman's integral equations for the Calderón problem, derived for conductivities in , still hold for conductivities which are in a neighbor…
Global Existence for the Derivative Nonlinear Schrödinger Equation with Arbitrary Spectral Singularities
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We show that the derivative nonlinear Schrödinger (DNLS) equation is globally well-posed in the weighted Sobolev space . Our result exploits the complete integ…