Well-posedness for the dimension-reduced Chern–Simons–Dirac system

Author:

Machihara Shuji,Okamoto Mamoru

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference10 articles.

1. N. Bournaveas, T. Candy, and S. Machihara, Local and global well-posedness for the Chern-Simons-Dirac system in one dimension, Differential and Integral Equations 25 (2012), no. 7–8, 699–718.

2. T. Candy, Global existence for an  $$L^2$$ L 2 critical nonlinear Dirac equation in one dimension, Adv. Differential Equations 16 (2011), no. 7–8, 643–666.

3. V. Delgado, Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac and other nonlinear Dirac equations in one space dimension, Proc. Amer. Math. Soc. 69 (1978), no. 2, 289–296.

4. H. Huh, Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in $$\mathbb{R}^{1+1}$$ R 1 + 1 , J. Math. Anal. Appl. 366 (2010), no. 2, 706–713.

5. H. Huh, Remarks on Chern-Simons-Dirac equations in one space dimension, Lett. Math. Phys. 104 (2014), 991–1001.

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1. Well-posedness for KdV-type equations with quadratic nonlinearity;Journal of Evolution Equations;2019-09-24

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