30 citations · 71 across the 6 of their papers we have counts for
8 papers
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy
Xuwen Chen, Paul Smith
In this article we establish the unconditional uniqueness of solutions to an Infinite Radial Chern-Simons-Schrödinger (IRCSS) hierarchy in two spatial dimensions. The IRCSS hierarc…
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…
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…
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…
Local wellposedness of Chern-Simons-Schrödinger
Baoping Liu, Paul Smith, Daniel Tataru
In this article we consider the initial value problem for the Chern-Simons-Schrodinger model in two space dimensions. This is a covariant NLS type problem which is L^2 critical. Fo…
Global regularity of critical Schrödinger maps: subthreshold dispersed energy
Paul Smith
We consider the energy-critical Schroedinger map initial value problem with smooth initial data from R^2 into the sphere S^2. Given sufficiently energy-dispersed data with subthres…