LOW REGULARITY SOLUTIONS OF THE CHERN-SIMONS-HIGGS EQUATIONS IN THE LORENTZ GAUGE

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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].

Original languageEnglish
Article number114
Pages (from-to)-
Number of pages10
JournalElectronic journal of differential equations
Publication statusPublished - 12 Sep 2009

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