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

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.

27 pages

References in corpus (2)

• Global strong solution to a nonlinear Dirac type equation in one dimension
• Survey on global existence in the nonlinear Dirac equations in one dimension