Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge

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].

Bibliographic Details
Main Author: Nikolaos Bournaveas
Format: Article
Language:English
Published: Texas State University 2009-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/114/abstr.html