# REMARKS ON NONLINEAR DIRAC EQUATIONS IN ONE SPACE DIMENSION

• HUH, HYUNGJIN (Department of Mathematics Chung-Ang University)
• Published : 2015.06.30
• 74 24

#### 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 (3.6).

#### Keywords

nonlinear Dirac equations;global existence;finite time blow up

#### Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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#### Cited by

1. Energy methods for Dirac-type equations in two-dimensional Minkowski space pp.1573-0530, 2018, https://doi.org/10.1007/s11005-018-1107-7