B. Dodson

发表

A new proof of scattering below the ground state for the non-radial focusing NLS

Jason Murphy, B. Dodson, 2017, 1712.09962.

A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton

Benjamin Dodson, B. Dodson, 2021, Annals of PDE.

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton

Benjamin Dodson, B. Dodson, 2021, 2104.11690.

Global well-posedness and scattering for the mass critical nonlinear Schr{\"o}dinger equation with mass below the mass of the ground state

Benjamin Dodson, B. Dodson, 2011, 1104.1114.

Scattering for Radial, Semi-Linear, Super-Critical Wave Equations with Bounded Critical Norm

A. Lawrie, B. Dodson, 2015, Archive for Rational Mechanics and Analysis.

Scattering for Radial, Semi-Linear, Super-Critical Wave Equations with Bounded Critical Norm

Benjamin Dodson, A. Lawrie, B. Dodson, 2014, 1407.8199.

Scattering for defocusing energy subcritical nonlinear wave equations

Dana Mendelson, Benjamin Dodson, Jason Murphy, 2018, Analysis & PDE.

Scattering for the radial 3D cubic wave equation

A. Lawrie, B. Dodson, 2014, 1403.7169.

The L2 sequential convergence of a solution to the mass-critical NLS above the ground state

Benjamin Dodson, B. Dodson, 2021, Nonlinear Analysis.

Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1

B. Dodson, 2016 .

The profile decomposition for the hyperbolic Schr\"odinger equation.

B. Pausader, J. Marzuola, D. Spirn, 2017, 1708.08014.

Global Well-Posedness and Scattering for the Defocusing, Mass-Critical Generalized KdV Equation

B. Dodson, 2013, Annals of PDE.

Global Well-posedness for the Logarithmically Energy-Supercritical Nonlinear Wave Equation with Partial Symmetry

Aynur Bulut, B. Dodson, 2018, International Mathematics Research Notices.

Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation

Dana Mendelson, Benjamin Dodson, J. Luhrmann, 2018, Advances in Mathematics.

Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data

Dana Mendelson, J. Luhrmann, Jonas Lührmann, 2017, American Journal of Mathematics.

Spacetime integral bounds for the energy-critical nonlinear wave equation

B. Dodson, 2020, 2010.07771.

A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

Jason Murphy, B. Dodson, 2016, 1611.04195.

Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when $d = 2,3$ and $u_0$ is radial

Benjamin Dodson, B. Dodson, 2019, Cambridge Journal of Mathematics.

Global well - posedness and scattering for the focusing, energy - critical nonlinear Schr\"odinger problem in dimension $d = 4$ for initial data below a ground state threshold

B. Dodson, 2014, 1409.1950.

Global well-posedness and scattering for nonlinear Schr{\"o}dinger equations with algebraic nonlinearity when $d = 2, 3$, $u_{0}$ radial

B. Dodson, 2014, 1405.0218.

Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$

B. Dodson, 2015, 1506.06239.

Defocusing Nonlinear Schrödinger Equations

B. Dodson, 2019 .

Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data

B. Dodson, 2016, Analysis & PDE.

Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4

B. Dodson, 2019, Annales scientifiques de l'École normale supérieure.

A Liouville theorem for the Chern–Simons–Schrödinger equation

B. Dodson, 2023, Discrete and Continuous Dynamical Systems.

The L2 Sequential Convergence of a Solution to the One-Dimensional, Mass-Critical NLS above the Ground State

B. Dodson, 2020, SIAM J. Math. Anal..

Instability of the soliton for the focusing, mass-critical generalized KdV equation

Benjamin Dodson, Cristian Gavrus, Cristian Gavrus, 2020, Discrete & Continuous Dynamical Systems.

Global Well-Posedness and Scattering for the Defocusing, Mass-Critical Generalized KdV Equation

B. Dodson, 2017, Annals of PDE.

Infrared Photometry of NGC 6791

B. Carney, Jae-Woo Lee, B. Dodson, 2004, astro-ph/0411014.

A controlling norm for energy-critical Schr\"odinger maps

Paul Smith, B. Dodson, 2013, 1302.3879.

Global well-posedness for the Schr\"odinger map problem with small Besov norm

Benjamin Dodson, B. Dodson, 2017, 1701.08195.

Bilinear Strichartz estimates for the Schr{\"o}dinger map problem

B. Dodson, 2012, 1210.5255.

On Scattering for Small Data of $$\varvec{2 + 1}$$2+1-Dimensional Equivariant Einstein-Wave Map System

N. Gudapati, B. Dodson, 2015, 1511.09371.

On Scattering for Small Data of 2 + 1 Dimensional Equivariant Einstein-Wave Map System

Ann, N. Gudapati, B. Dodson, 2017 .

Global Well-posedness for the Defocusing, Quintic Nonlinear Schrödinger Equation in One Dimension for Low Regularity Data

Benjamin Dodson, B. Dodson, 2012 .

Global well-posedness of the radial conformal nonlinear wave equation with initial data in a critical space

B. Dodson, 2022, 2206.13586.

Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space

Benjamin Dodson, B. Dodson, 2021, 2108.03224.

Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1

B. Dodson, 2010, 1010.0040.

Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d =3$

B. Dodson, 2009, 0912.2467.

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

B. Dodson, 2023, 2305.15633.

The defocusing quintic NLS in four space dimensions

C. Miao, Jason Murphy, Jiqiang Zheng, 2015, 1508.07298.

Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation

B. Dodson, 2018, 1809.08284.

Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$

B. Dodson, 2015, 1506.06239.

Global well-posedness for the radial, defocusing, nonlinear wave equation for $3 < p < 5$

B. Dodson, 2018, 1810.02879.

Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data

B. Dodson, 2018, Communications in Partial Differential Equations.

Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space

Benjamin Dodson, B. Dodson, 2021, 2110.06987.

Almost Morawetz estimates and global well-posedness for the defocusing $L^2$-critical nonlinear Schr{ö}dinger equation in higher dimensions

B. Dodson, 2009, 0909.4332.

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

B. Dodson, 2009, 0909.0757.

Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space

B. Dodson, 2020, Revista Matemática Iberoamericana.

Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition

B. Dodson, 2012 .

Global well-posedness and scattering for the defocusing, energy -critical, nonlinear Schr{ö}dinger equation in the exterior of a convex obstacle when $d = 4$

B. Dodson, 2011, 1112.0710.

Global existence for some radial, low regularity nonlinear Schrödinger equations

B. Dodson, 2010 .

Global well-posedness for the defocusing, quintic nonlinear Schr\"odinger equation in one dimension

B. Dodson, 2009, 0910.3964.

Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition

B. Dodson, 2009, 0910.2260.

The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures

A. Soffer, T. Spencer, B. Dodson, 2020, Journal of Statistical Physics.