Local and global solutions of the Chern-Simons-Higgs system |
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| Authors: | Hyungjin Huh |
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| Institution: | Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | We study low regularity solutions of the Chern-Simons-Higgs equations. The Lorentz gauge condition makes them hyperbolic equations with the null form. Under the Coulomb gauge condition they are formulated in the hyperbolic equation coupled with elliptic equation. The div-curl decomposition is used in the temporal gauge. |
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| Keywords: | Chern-Simons-Higgs Gauge condition Null form Elliptic feature Div-curl decomposition |
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