arXiv Analytics

Sign in

arXiv:1401.0145 [math.AP]AbstractReferencesReviewsResources

Low regularity local well-posedness for the Chern-Simons-Higgs system in temporal gauge

Hartmut Pecher

Published 2013-12-31, updated 2014-10-13Version 3

The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional Minkowski space in temporal gauge is locally well-posed for low regularity initial data improving a result of Huh. The proof uses the bilinear space-time estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg and takes advantage of a null condition.

Comments: This paper has been withdrawn by the author due to an error in the proof of claim 4
Categories: math.AP
Subjects: 35Q40, 35L70
Related articles: Most relevant | Search more
arXiv:1502.06228 [math.AP] (Published 2015-02-22)
Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge
arXiv:1506.02533 [math.AP] (Published 2015-06-08)
Local well-posedness below energy space for the Yang-Mills-Higgs system in temporal gauge
arXiv:0706.3618 [math.AP] (Published 2007-06-25)
Low Regularity local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system

Links

Toolbox