Final State Problem for the Dirac-Klein-Gordon Equations in Two Space DimensionsReport as inadecuate




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Abstract and Applied AnalysisVolume 2013 2013, Article ID 273959, 11 pages

Research ArticleDepartment of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560 0043, Japan

Received 25 April 2013; Accepted 15 July 2013

Academic Editor: Daniel C. Biles

Copyright © 2013 Masahiro Ikeda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the fi…nal state problem for the Dirac-Klein-Gordon equations DKG in two space dimensions. We prove that if the nonresonance mass condition is satisfi…ed, then the wave operator for DKG is well defi…ned from a neighborhood at the origin in lower order weighted Sobolev space to some Sobolev space.





Author: Masahiro Ikeda

Source: https://www.hindawi.com/



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