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arXiv · 1401.0145

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

Hartmut Pecher
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Abstract

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.

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Hartmut Pecher. 2013-12-31. Low regularity local well-posedness for the Chern-Simons-Higgs system in temporal gauge. https://arxiv.org/abs/1401.0145

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