96 citations · 299 across the 24 of their papers we have counts for
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Global Well-Posesedness for the Derivative Nonlinear Schrodinger Equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger (DNLS). equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral sing…
Soliton Resolution for the Derivative Nonlinear Schrödinger Equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities). D…
Global Well-posedness and soliton resolution for the Derivative Nonlinear Schrödinger equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but excluding spectral singularit…
Bloch theory and spectral gaps for linearized water waves
Walter Craig, Maxime Gazeau, Christophe Lacave +1
The system of equations for water waves, when linearized about equilibrium of a fluid body with a varying bottom boundary, is described by a spectral problem for the Dirichlet -- N…