Abstract
The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators L under which the operator-differential equation \(u_{tt} = - L_u\) determines a free evolution in the Lax--Phillips scattering scheme.
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Kuzhel, S.A. On the Determination of Free Evolution in the Lax--Phillips Scattering Scheme for Second-Order Operator-Differential Equations. Mathematical Notes 68, 724–729 (2000). https://doi.org/10.1023/A:1026604515376
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DOI: https://doi.org/10.1023/A:1026604515376