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

Authors :
Hayashi, Nakao
Sasaki, Hironobu
Source :
Journal of Hyperbolic Differential Equations. Dec2016, Vol. 13 Issue 4, p821-832. 12p.
Publication Year :
2016

Abstract

We consider the nonlinear Dirac equation with a power nonlinearity where , . We prove the existence of the scattering operator in the neighborhood of the origin of the weighted Sobolev space , where . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02198916
Volume :
13
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Hyperbolic Differential Equations
Publication Type :
Academic Journal
Accession number :
120384883
Full Text :
https://doi.org/10.1142/S0219891616500223