30 citations · 71 across the 6 of their papers we have counts for
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math.AP2013★ 13 cited
Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
Baoping Liu, Paul Smith
In this article we consider the initial value problem for the m-equivariant Chern-Simons-Schrödinger model in two spatial dimensions with real-valued coupling parameter g. This is…
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…
math.AP2013★ 1 cited
An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system
Paul Smith
We consider energy-critical Schrödinger maps from R^2 into the sphere and hyperbolic plane. Viewing such maps with respect to orthonormal frames on the pullback bundle provides a g…