58 citations · 278 across the 41 of their papers we have counts for
5 papers · 2 filters
Global well-posedness for the radial, defocusing, nonlinear wave equation for
Benjamin Dodson
In this paper we continue the study of the defocusing, energy-subcritical nonlinear wave equation with radial initial data lying in the critical Sobolev space. In this case we prov…
Scattering for defocusing energy subcritical nonlinear wave equations
Benjamin Dodson, Andrew Lawrie, Dana Mendelson +1
We consider the Cauchy problem for the defocusing power type nonlinear wave equation in -dimensions for energy subcritical powers in the range . We prove that…
Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation
Benjamin Dodson
In this paper we prove global well-posedness and scattering for the defocusing, cubic, nonlinear wave equation on with radial initial data lying in the critica…
Global well-posedness for the logarithmically energy-supercritical Nonlinear Wave Equation with partial symmetry
Aynur Bulut, Benjamin Dodson
We establish global well-posedness and scattering results for the logarithmically energy-supercritical nonlinear wave equation, under the assumption that the initial data satisfies…
Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson
We consider the Cauchy problem for the defocusing cubic nonlinear Schrödinger equation in four space dimensions and establish almost sure local well-posedness and conditional almos…