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arXiv:1903.01621 [math.AP]AbstractReferencesReviewsResources

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

Yongqian Zhang, Qin Zhao

Published 2019-03-05Version 1

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.

Comments: 27 pages
Categories: math.AP, math-ph, math.MP
Subjects: 35Q41, 35L60, 35Q40
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