We study the scattering theory for the coupled Klein-Gordon-Schrodinger equation with the Yukawa type interaction in two space dimensions. The scattering problem for this equation belongs to the borderline between the short range case and the long range one. We show the existence of the wave operators to this equation without any size restriction on the Klein-Gordon component of the final state.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
10
号
4
ページ
661 - 685
発行年
2003
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR2037763
Mathmatical Subject Classification
35B40(MSC2000)
35P25(MSC2000)
35Q40(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Scattering Theory for the Coupled Klein-Gordon-Schrödinger Equations in Two Space Dimensions
jms100404.pdf
(186.96KB)
