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

Electronic Journal of Differential Equations. 2009;2009(114,):1-10


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Journal Title: Electronic Journal of Differential Equations

ISSN: 1072-6691 (Print)

Publisher: Texas State University

LCC Subject Category: Science: Mathematics

Country of publisher: United States

Language of fulltext: English

Full-text formats available: PDF, TEX



Nikolaos Bournaveas


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Time From Submission to Publication: 20 weeks


Abstract | Full Text

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].