58 citations · 278 across the 41 of their papers we have counts for
5 papers · 2 filters
Scattering for the defocusing, cubic nonlinear Schr{ö}dinger equation with initial data in a critical space
Benjamin Dodson
In this note we prove scattering for a defocusing nonlinear Schr{ö}dinger equation with initial data lying in a critical Besov space. In addition, we obtain polynomial bounds on th…
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space
Benjamin Dodson
In this paper we prove global well-posedness for the defocusing, energy-subcritical, nonlinear wave equation on with initial data in a critical Besov space. No…
A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton
Benjamin Dodson
In this paper we prove rigidity for blowup solutions to the focusing, mass-critical nonlinear Schr{ö}dinger equation in dimensions with mass equal to the mass of…
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton
Benjamin Dodson
In this paper we prove that the only blowup solutions to the focusing, quintic nonlinear Schr{ö}dinger equation with mass equal to the mass of the soliton are rescaled solitons or…
The sequential convergence of a solution to the mass-critical NLS above the ground state
Benjamin Dodson
In this paper we generalize a weak sequential result of \cite{fan20182} to a non-scattering solutions in dimension . No symmetry assumptions are required for the initial…