Local and global solutions of the Chern-Simons-Higgs system

DOI10.1016/j.jfa.2006.09.009zbMath1246.58009OpenAlexW2050642383MaRDI QIDQ859663

Hyungjin Huh

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.09.009

zbMATH Keywords

gauge conditionnull formChern-Simons-Higgsdiv-curl decompositionelliptic feature

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with relativity and gravitational theory (35Q75) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (13)

Small data global existence and decay for relativistic Chern-Simons equations ⋮ The Cauchy problem for Chern-Simons-Proca-Higgs equations ⋮ On the well-posedness of Maxwell-Chern-Simons-Higgs system in the Lorenz gauge ⋮ Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ A note on the Chern-Simons-Dirac equations in the Coulomb gauge ⋮ Nonexistence of global solution to Chern-Simons-Higgs system ⋮ Global energy solutions of Chern-Simons-Higgs equations in one space dimension ⋮ Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations ⋮ Semi-nonrelativistic limit of the Chern–Simons–Higgs system ⋮ Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge ⋮ Topological solutions of the self-dual equations for the generalized Maxwell-Chern-Simons-Higgs model ⋮ Global well-posedness in energy space for the Chern–Simons–Higgs system in temporal gauge ⋮ Local well-posedness of Chern-Simons-Higgs system in the Lorentz gauge

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