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arXiv · 1502.06228

Global well-posedness in energy space 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 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.

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Hartmut Pecher. 2015-02-22. Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge. https://arxiv.org/abs/1502.06228

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