58 citations · 278 across the 41 of their papers we have counts for
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math.AP2016★ 1 cited
A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
Benjamin Dodson, Jason Murphy
We revisit the scattering result of Holmer and Roudenko on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimat…
math.AP2016★ 1 cited
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
Benjamin Dodson
In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in . This space of functio…
math.AP2016★ 22 cited
Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
Benjamin Dodson
In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in a slightly supercritical Sobolev space, and a weighted…