B. Dodson

activity

20102025

most citedGlobal well-posedness and scattering for the defocusing,

L^{2}

-critical, nonlinear Schr{ö}dinger equation when

d = 2

231 citations · 231 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025

Quantitative Scattering for the Energy-Critical Wave Equation on Asymptotically Flat Spacetimes

Benjamin Dodson, Sam Looi

We prove quantitative scattering for the three-dimensional defocusing energy-critical quintic wave equation on a class of asymptotically flat, possibly non-stationary perturbations…

math.AP2023

Sharp Global well-posedness and scattering for the radial nonlinear intercritical wave equation

Benjamin Dodson

In this paper we prove global well-posedness and scattering for the defocusing, intercritical nonlinear wave equation in dimensions $d \geq 4$ with radial initial data. We prove th…

math.AP2010★ 231 cited

Global well-posedness and scattering for the defocusing, $L^{2}$ -critical, nonlinear Schr{ö}dinger equation when $d = 2$

Benjamin Dodson

In this paper we prove that the defocusing, cubic nonlinear Schr{ö}dinger initial value problem is globally well-posed and scattering for $u_{0} \in L^{2} (R^{2})$ . To do t…

Quantitative Scattering for the Energy-Critical Wave Equation on Asymptotically Flat Spacetimes

Sharp Global well-posedness and scattering for the radial nonlinear intercritical wave equation

Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schr{ö}dinger equation when d=2

Global well-posedness and scattering for the defocusing, $L^{2}$ -critical, nonlinear Schr{ö}dinger equation when $d = 2$