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

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Abstract

The problem of existence of wave operators for the Klein-Gordon equation (∂ 2t −Δ+μ2+iV1∂t+V2)u(x,t)=0 (x ∈R n,t ∈R, n≥3, μ>0) is studied where V1 and V2 are symmetric operators in L2(R n) 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.

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References

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Authors and Affiliations

  1. Mathematisches Institut der Universität München, Theresienstr. 39, D 8, München 2, Germany

    Klaus-Jürgen Eckardt

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  1. Klaus-Jürgen Eckardt
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Eckardt, KJ. On the existence of wave operators for the Klein-Gordon equation. Manuscripta Math 18, 43–55 (1976). https://doi.org/10.1007/BF01170534

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  • DOI: https://doi.org/10.1007/BF01170534

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