Article ID Journal Published Year Pages File Type
839974 Nonlinear Analysis: Theory, Methods & Applications 2014 11 Pages PDF
Abstract

The Maxwell–Dirac equations with nonzero charge mass in one space dimension are studied under the Lorenz gauge condition. The global existence and uniqueness of the solution in (Lloc2(R+2))2×(Lloc∞(R+2))2 for an initial value problem of Maxwell–Dirac equations are proved.

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Global solution to Maxwell–Dirac equations in 1+11+1 dimensions
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