Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2015; 30(3): 201-208

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.201

Copyright © The Korean Mathematical Society.

Remarks on nonlinear Dirac equations in one space dimension

Hyungjin Huh

Chung-Ang University

Abstract

This paper reviews recent mathematical progresses made on the study of the initial-value problem for nonlinear Dirac equations in one space dimension. We also prove the global existence of solutions to some nonlinear Dirac equations and propose a model problem \eqref{model21}.

Keywords: nonlinear Dirac equations, global existence, finite time blow up

MSC numbers: 35L03, 35L40, 35Q40, 35F25