For each degree m≥1, sufficiently small equivariant perturbations of the m-vortex in Manton's self-dual Chern-Simons-Schrödinger model on H² yield a global solution with uniform Strichartz bounds.
uhrmann, J., Oh, S.-J., and Shahshahani, S. Local smoothing estimates for S chr\
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Equivariant stability of vortices in Manton's Chern-Simons-Schr\"odinger system on the hyperbolic plane
For each degree m≥1, sufficiently small equivariant perturbations of the m-vortex in Manton's self-dual Chern-Simons-Schrödinger model on H² yield a global solution with uniform Strichartz bounds.