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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}.
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참고문헌 (15)
참고문헌 신청
A. Contreras / / L2 orbital stability of Dirac solitons in the massive Thirring model / arXiv:1312.1019
D. Agueev / 2005 / Modeling of wave resonances in low-contrast photonic crystals / SIAM J. Appl. Math 65 (4) : 1101 ~ 1129
D. Pelinovsky / 2011 / Survey on global existence in the nonlinear Dirac equations in one spatial dimension, Harmonic analysis and nonlinear partial differential equations / RIMS K?oky?
D. Pelinovsky / 2014 / Orbital stability of Dirac solitons / Lett. Math. Phys 104 (1) : 21 ~ 41
H. Huh / 2011 / Global strong solution to the Thirring model in critical space / J. Math. Anal. Appl 381 (2) : 513 ~ 520
D. Agueev / 2005 / Modeling of wave resonances in low-contrast photonic crystals / SIAM J. Appl. Math 65 (4) : 1101 ~ 1129
D. Pelinovsky / 2011 / Survey on global existence in the nonlinear Dirac equations in one spatial dimension, Harmonic analysis and nonlinear partial differential equations / RIMS K?oky?
D. Pelinovsky / 2014 / Orbital stability of Dirac solitons / Lett. Math. Phys 104 (1) : 21 ~ 41
H. Huh / 2011 / Global strong solution to the Thirring model in critical space / J. Math. Anal. Appl 381 (2) : 513 ~ 520
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