Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1+1 dimensions
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math-phmath.MP
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boundaryinitialdiracnonlinearproblemvalueboundedclass
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This paper studies an initial boundary value problem for a class of nonlinear Dirac equations with cubic terms and moving boundary. For the initial data with bounded $L^2$ norm and the suitable boundary conditions, the global existence and the uniqueness of the strong solution are proved.
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