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Wave operator for the system of the Dirac–Klein–Gordon equations

✍ Scribed by Nakao Hayashi; Masahiro Ikeda; Pavel I. Naumkin

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
246 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by R. Racke

We prove the existence of the wave operator for the system of the massive Dirac-Klein-Gordon equations in three space dimensions

where the masses m, M>0. We prove that for the small final data w + ∈ (H 3 2 +l,1 ) 4 , (/ + 1 , / + 2 ) ∈ H 2+l,1 ×H 1+l,1 , with l = 5 4 -5 2q and 90 37 <q<6, there exists a unique global solution for system (1) with the final state conditions

→ 0 as t →∞.

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