58 citations · 278 across the 41 of their papers we have counts for
Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015★ 1 cited
On Scattering for Small Data of 2+1 Dimensional Equivariant Einstein-Wave Map System
Benjamin Dodson, Nishanth Gudapati
We consider the Cauchy problem of 2+1 equivariant wave maps coupled to Einstein's equations of general relativity and prove that two separate (nonlinear) subclasses of the system d…
math.AP2015★ 3 cited
The defocusing quintic NLS in four space dimensions
Benjamin Dodson, Changxing Miao, Jason Murphy +1
We consider the defocusing quintic nonlinear Schrödinger equation in four space dimensions. We prove that any solution that remains bounded in the critical Sobolev space must be gl…
math.AP2015
Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in ,
Benjamin Dodson
In this paper we study the defocusing, cubic nonlinear wave equation in three dimensions with radial initial data. The critical space is . We s…