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PDF Availablehttps://doi.org/10.1088/1742-6596/410/1/012035
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Cite Publication Date: Feb 8, 2013 | |
 Citations: 2 |  License type: cc-iop-open |
Affiliation: Chiba University
We study scattering problems for the one-dimensional nonlinear Dirac equation (∂t + α∂x + iβ)ϕ = λ|ϕ|p−1ϕ. We prove that if p > 3 (resp. p > 3 + 1/6), then the wave operator (resp. the scattering operator) is well-defined on some 0-neighborhood of a weighted Sobolev space.
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