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math.AP2013
Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation
Benjamin Dodson
In this paper we prove that the defocusing, mass - critical generalized KdV initial value problem is globally well-posed and scattering for . We prove…
math.AP2013
A controlling norm for energy-critical Schrödinger maps
Benjamin Dodson, Paul Smith
We consider energy-critical Schroedinger maps with target either the sphere S^2 or hyperbolic plane H^2 and establish that a unique solution may be continued so long as a certain s…