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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
Article

Abstract

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.

Keywords

Functional Analysis Number Theory Algebraic Geometry Topological Group Symmetric Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    CHADAM, J. M., The Asymptotic Behavior of the Klein-Gordon Equation with External Potential, J. Math. Anal. Appl. 34, 334–348 (1970)Google Scholar
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    VESELIĆ, K., WEIDMANN, J., Asymptotic Estimates of Wave Functions and the Existence of Wave Operators, J. Functional Analysis 17, 61–77 (1974)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

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

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