| Abstract: |
| In this talk, 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 $\mathcal{H}^{1,\,\theta}$. As by-product, finite energy global solution is constructed by considering the conservation of energy. |
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