manuscripta mathematica

, Volume 18, Issue 1, pp 43–55 | Cite as

On the existence of wave operators for the Klein-Gordon equation

  • Klaus-Jürgen Eckardt


The problem of existence of wave operators for the Klein-Gordon equation (∂ t 2 −Δ+μ2+iV1t+V2)u(x,t)=0 (x ∈Rn,t ∈R, n≥3, μ>0) is studied where V1 and V2 are symmetric operators in L2(Rn) and it is shown that conditions similar to those of Veselić-Weidmann (Journal Functional Analysis 17, 61–77 (1974)) for a different class of operators are also sufficient for the Klein-Gordon equation.


Functional Analysis Number Theory Algebraic Geometry Topological Group Symmetric Operator 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Klaus-Jürgen Eckardt
    • 1
  1. 1.Mathematisches Institut der Universität MünchenMünchen 2Germany

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