Remarks on Chern-Simons gauged O(3) sigma model in one space dimension

초록

We find the stationary solutions of the Chern-Simons gauged O(3) sigma model in one space dimension and study an initial value problem under the gauge condition A(1) = 0. We also study low regularity local well-posedness using bilinear estimates for wave-Sobolev space H-1,H-theta. As a by-product, we construct a finite energy global solution by considering the conservation of energy. Published under license by AIP Publishing.

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