58 citations · 278 across the 41 of their papers we have counts for
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Global well-posedness and scattering for the defocusing, -critical, nonlinear Schr{ö}dinger equation when
Benjamin Dodson
In this paper we prove that the defocusing, -dimensional mass critical nonlinear Schr{ö}dinger initial value problem is globally well-posed and scattering for $u_{0} \in L^{2}(\…
Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension
Benjamin Dodson
In this paper, we prove global well-posedness for low regularity data for the one dimensional quintic defocusing nonlinear Schrödinger equation. We show that a unique solution exis…
Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition
Benjamin Dodson
In this paper, we prove global well-posedness and scattering for the defocusing, cubic nonlinear Schr{ö}dinger equation in three dimensions when when $u_{0} \in H^{s}(\math…
Almost Morawetz estimates and global well-posedness for the defocusing -critical nonlinear Schr{ö}dinger equation in higher dimensions
Benjamin Dodson
In this paper, we consider the global well-posedness of the defocusing, - critical nonlinear Schr{ö}dinger equation in dimensions . Using the I-method, we show th…
Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation
Benjamin Dodson
We prove global well-posedness for the cubic, defocusing, nonlinear Schr{ö}dinger equation on with data , . We accomplish…