Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge

Yongguen Cho, Seokchang Hong

In this paper we consider a Cauchy problem on the self-dual relativistic non-abelian Chern-Simons-Higgs model, which is the system of equations of $\mathfrak{su}(n)(n\ge 2)$-va…