58 citations · 278 across the 41 of their papers we have counts for
47 papers
Global well--posedness for the mass--critical nonlinear Schr{ö}dinger equation on
Benjamin Dodson
We prove a global well--posedness result for the quintic NLS on for initial data in , . This improves the previous best bound of .
Sharp Global well-posedness and scattering for the radial conformal nonlinear wave equation
Benjamin Dodson
In this paper we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in the critical Sobolev space, for dimen…
A Liouville theorem for the Chern--Simons--Schr{ö}dinger equation
Benjamin Dodson
In this paper we prove a Liouville theorem for the Chern--Simons--Schr{ö}dinger equation. This result is consistent with the soliton resolution conjecture for initial data that doe…
Global well-posedness of the radial conformal nonlinear wave equation with initial data in a critical space
Benjamin Dodson
In this note we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in a critical Besov space. We also prove…
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…