58 citations · 278 across the 41 of their papers we have counts for
4 papers · 2 filters
A new proof of scattering below the ground state for the non-radial focusing NLS
Benjamin Dodson, Jason Murphy
We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial -critical focusing NLS. By proving an interaction Morawetz inequality, we give…
The profile decomposition for the hyperbolic Schrödinger equation
Benjamin Dodson, Jeremy L. Marzuola, Benoit Pausader +1
In this note, we prove the profile decomposition for hyperbolic Schrödinger (or mixed signature) equations on in two cases, one mass-supercritical and one mass-criti…
Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson
We consider the energy-critical defocusing nonlinear wave equation on and establish almost sure global existence and scattering for randomized radially symmetric ini…
Global well-posedness for the Schrödinger map problem with small Besov norm
Benjamin Dodson
In this paper we prove a global result for the Schrödinger map problem with initial data with small Besov norm at critical regularity.