58 citations · 278 across the 41 of their papers we have counts for
4 papers · 2 filters
Global well - posedness and scattering for the focusing, energy - critical nonlinear Schrödinger problem in dimension for initial data below a ground state threshold
Benjamin Dodson
In this paper we prove global well - posedness and scattering for the focusing, energy - critical nonlinear Schrödinger initial value problem in four dimensions. Previous work prov…
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
Benjamin Dodson, Andrew Lawrie
In this paper we study the focusing cubic wave equation in 1+5 dimensions with radial initial data as well as the one-equivariant wave maps equation in 1+3 dimensions with the mode…
Global well-posedness and scattering for nonlinear Schr{ö}dinger equations with algebraic nonlinearity when , radial
Benjamin Dodson
In this paper we discuss global well - posedness and scattering for some initial value problems that are supercritical and subcritical, with radial data. We p…
Scattering for the radial 3d cubic wave equation
Benjamin Dodson, Andrew Lawrie
Consider the Cauchy problem for the radial cubic wave equation in 1+3 dimensions with either the focusing or defocusing sign. This problem is critical in $\dot{H}^{\frac{1}{2}} \ti…