Abstract
The problem of existence of wave operators for the Klein-Gordon equation (∂t2−Δ+μ2+iV1∂t+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 Veselic-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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