arXiv:1502.06228 [math.AP]AbstractReferencesReviewsResources
Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge
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
Related articles: Most relevant | Search more
arXiv:1506.02533 [math.AP] (Published 2015-06-08)
Local well-posedness below energy space for the Yang-Mills-Higgs system in temporal gauge
Low regularity local well-posedness for the Chern-Simons-Higgs system in temporal gauge
Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge