35 citations · 65 across the 7 of their papers we have counts for
4 papers · 2 filters
Scattering for the non-radial 3D cubic nonlinear Schroedinger equation
Thomas Duyckaerts, Justin Holmer, Svetlana Roudenko
Scattering of radial solutions to the 3D focusing cubic nonlinear Schrödinger equation below a mass-energy threshold and satisfying an initial mass-grad…
Soliton interaction with slowly varying potentials
Justin Holmer, Maciej Zworski
We study the Gross-Pitaevskii equation with a slowly varying smooth potential, . We show that up to time and errors of size in , the solutio…
On blow-up solutions to the 3D cubic nonlinear Schroedinger equation
Justin Holmer, Svetlana Roudenko
For the 3d cubic nonlinear Schrödinger (NLS) equation, which has critical (scaling) norms and , we first prove a result establishing sufficient conditions for g…
Slow soliton interaction with delta impurities
Justin Holmer, Maciej Zworski
We study the Gross-Pitaevskii equation with a delta function potential, , where is small, and analyze the solutions for which the initial condition is a soliton with…