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arXiv:1502.06228 [math.AP]AbstractReferencesReviewsResources

Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge

Hartmut Pecher

Published 2015-02-22Version 1

The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional Minkowski space in temporal gauge is globally well-posed in energy space improving a result of Huh. The proof uses the bilinear space-time estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg, an $L^6_x L^2_t$-estimate for solutions of the wave equation, and also takes advantage of a null condition.

Comments: 17 pages. arXiv admin note: substantial text overlap with arXiv:1401.0145
Categories: math.AP
Subjects: 35Q40, 35L70
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