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

摘要

This paper studies an initial boundary value problem for a class of nonlinear Dirac equations with cubic terms, which include the equations for the massive Thirring model and the massive Gross-Neveu model. Under the assumptions that the initial data has bounded L-2 norm and the boundary satisfies suitable conditions, the global existence and the uniqueness of the strong solution are proved. (C) 2019 Elsevier Inc. All rights reserved.