Abstract
We prove global existence of solutions to Chern–Simons–Dirac equations under the gauge condition \({A_1 \equiv 0}\). We also find a solitary wave solution and derive L ∞ bound of the solution by applying local form of charge conservation.
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Huh, H. Remarks on Chern–Simons–Dirac Equations in One Space Dimension. Lett Math Phys 104, 991–1001 (2014). https://doi.org/10.1007/s11005-014-0701-6
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DOI: https://doi.org/10.1007/s11005-014-0701-6