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Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions

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Title: Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions
Authors: Machihara, Shuji Browse this author
Tsutaya, Kimitoshi Browse this author
Keywords: Scattering problem
Dirac equation
Hartree type
Critical Sobolev space
Issue Date: 15-Dec-2009
Publisher: Elsevier
Journal Title: Nonlinear Analysis : Theory, Methods & Applications
Volume: 71
Issue: 12
Start Page: e2437
End Page: e2441
Publisher DOI: 10.1016/j.na.2009.05.059
Abstract: Consider a scattering problem for the Dirac equation with a nonlocal term including the Hartree type in two dimensions. We show the existence of scattering operators for small data in the subcritical and critical Sobolev spaces.
Type: article (author version)
URI: http://hdl.handle.net/2115/43102
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 津田谷 公利

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