TY - JOUR
T1 - Scattering operator for the one-dimensional Dirac equation with power nonlinearity
AU - Hayashi, Nakao
AU - Sasaki, Hironobu
N1 - Publisher Copyright:
© 2016 World Scientific Publishing Company.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - We consider the nonlinear Dirac equation with a power nonlinearity [Equation presented here], where 3 < p < 5, λ ∈ C. We prove the existence of the scattering operator in the neighborhood of the origin of the weighted Sobolev space H1,1 ∩ Hs,0, where 4/(p - 1) < s < p.
AB - We consider the nonlinear Dirac equation with a power nonlinearity [Equation presented here], where 3 < p < 5, λ ∈ C. We prove the existence of the scattering operator in the neighborhood of the origin of the weighted Sobolev space H1,1 ∩ Hs,0, where 4/(p - 1) < s < p.
KW - Nonlinear Dirac equation
KW - power nonlinearity
KW - scattering operator
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U2 - 10.1142/S0219891616500223
DO - 10.1142/S0219891616500223
M3 - Article
AN - SCOPUS:85006978480
VL - 13
SP - 821
EP - 832
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
SN - 0219-8916
IS - 4
ER -