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

DOI10.1142/S0219891616500107zbMath1352.35138arXiv1502.06228MaRDI QIDQ2818343

Hartmut Pecher

Publication date: 7 September 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06228

zbMATH Keywords

Sobolev spacevorticesnull condition

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

Small data global existence and decay for relativistic Chern-Simons equations ⋮ Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Chern-Simons-Schrödinger theory on a one-dimensional lattice ⋮ Conformal identity of the Chern–Simons gauged wave equations and its applications

Cites Work

• Local and global solutions of the Chern-Simons-Higgs system
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
• Anisotropic Bilinear L2 Estimates Related to the 3D Wave Equation
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