Electronic Journal of Differential Equations (Sep 2009)
Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge
Abstract
We prove local well-posedness for the 2+1-dimensional Chern-Simons-Higgs equations in the Lorentz gauge with initial data of low regularity. Our result improves earlier results by Huh [10, 11].
