papers
Publications (29)
math.AP2018
Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation
Benjamin Dodson
math.AP2011
Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schr{ö}dinger equation when $d \geq 3$
Benjamin Dodson
math.AP2014
Global well - posedness and scattering for the focusing, energy - critical nonlinear Schrödinger problem in dimension $d = 4$ for initial data below a ground state threshold
Benjamin Dodson
math.AP2017
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
Benjamin Dodson
math.AP2013
A controlling norm for energy-critical Schrödinger maps
Benjamin Dodson, Paul Smith
math.AP2011
Global well-posedness and scattering for the mass critical nonlinear Schr{ö}dinger equation with mass below the mass of the ground state
Benjamin Dodson
math.AP2014
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
Benjamin Dodson, Andrew Lawrie
math.AP2012
Bilinear Strichartz estimates for the Schr{ö}dinger map problem
Benjamin Dodson
math.AP2016
A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
Benjamin Dodson, Jason Murphy
math.AP2009
Almost Morawetz estimates and global well-posedness for the defocusing $L^2$-critical nonlinear Schr{ö}dinger equation in higher dimensions
Benjamin Dodson
math.AP2016
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
Benjamin Dodson
math.AP2009
Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension
Benjamin Dodson
math.AP2014
Scattering for the radial 3d cubic wave equation
Benjamin Dodson, Andrew Lawrie
math.AP2013
Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation
Benjamin Dodson
math.AP2017
Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$
Benjamin Dodson
math.AP2011
Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition
Benjamin Dodson
math.AP2017
On Scattering for Small Data of 2+1 Dimensional Equivariant Einstein-Wave Map System
Benjamin Dodson, Nishanth Gudapati
math.AP2011
Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schrödinger equation when $d = 1$
Benjamin Dodson
math.AP2019
Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson
math.AP2018
Global well-posedness for the radial, defocusing, nonlinear wave equation for $3 < p < 5$
Benjamin Dodson
math.AP2009
Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation
Benjamin Dodson
math.AP2012
Global well-posedness and scattering for the defocusing, energy -critical, nonlinear Schr{ö}dinger equation in the exterior of a convex obstacle when $d = 4$
Benjamin Dodson
math.AP2019
Global well-posedness and scattering for nonlinear Schr{ö}dinger equations with algebraic nonlinearity when $d = 2, 3$, $u_{0}$ radial
Benjamin Dodson
math.AP2015
The defocusing quintic NLS in four space dimensions
Benjamin Dodson, Changxing Miao, Jason Murphy +1
math.AP2017
Global well-posedness for the Schrödinger map problem with small Besov norm
Benjamin Dodson
astro-ph2004
Infrared Photometry of NGC 6791
Bruce W. Carney, Jae-Woo Lee, Benjamin Dodson
math.AP2016
Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schr{ö}dinger equation when $d = 2$
Benjamin Dodson
math.AP2017
A new proof of scattering below the ground state for the non-radial focusing NLS
Benjamin Dodson, Jason Murphy
math.AP2018
Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson