Scattering operator for the one-dimensional Dirac equation with power nonlinearity

Nakao Hayashi; Hironobu Sasaki

doi:10.1142/S0219891616500223

Scattering operator for the one-dimensional Dirac equation with power nonlinearity

Research output: Contribution to journal › Article › peer-review

Abstract

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 H^1,1 ∩ H^s,0, where 4/(p - 1) < s < p.

Original language	English
Pages (from-to)	821-832
Number of pages	12
Journal	Journal of Hyperbolic Differential Equations
Volume	13
Issue number	4
DOIs	https://doi.org/10.1142/S0219891616500223
Publication status	Published - 2016 Dec 1
Externally published	Yes

Keywords

Nonlinear Dirac equation
power nonlinearity
scattering operator

ASJC Scopus subject areas

Analysis
Mathematics(all)

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10.1142/S0219891616500223

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abstract = "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.",

keywords = "Nonlinear Dirac equation, power nonlinearity, scattering operator",

author = "Nakao Hayashi and Hironobu Sasaki",

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AU - Sasaki, Hironobu

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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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