Global strong solution to Maxwell-Dirac equations in 1+1 dimensions
Abstract
The Maxwell-Dirac equations with nonzero charge mass in one space dimension are studied under the Lorentz gauge condition. The global existence and uniqueness of solution in C([0,+∞);L2(R1))× Cb(R1 × [0,∞)) for initial value problem of Maxwell-Dirac equations are proved.
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