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The Cauchy problem for the 1-D Dirac–Klein–Gordon equation

✍ Scribed by Shuji Machihara

Book ID: 105766035
Publisher: SP Birkhäuser Verlag Basel
Year: 2007
Tongue: English
Weight: 237 KB
Volume: 14
Category: Article
ISSN: 1021-9722
DOI: 10.1007/s00030-007-5027-y

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## 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 -