Almost optimal well-posedness for Chern--Simons gauged $O(3)$ sigma model under the Lorenz gauge

Huali Zhang, Jie Zhou

In this paper, we study the low-regularity Cauchy problem for the Chern--Simons gauged $O(3)$ sigma model in ${\mathbb{R}}^{1+d}$ ($d=1,2$) under the Lorenz gauge. For $d=1$, we esta…