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Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1 + 1 dimensions

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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… Click to show full abstract

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.

Keywords: initial boundary; value problem; boundary value; nonlinear dirac

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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