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On the Determination of Free Evolution in the Lax--Phillips Scattering Scheme for Second-Order Operator-Differential Equations
Authors:S A Kuzhel
Institution:(1) Mathematics Institute, Ukrainian National Academy of Sciences, Kiev
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.
Keywords:Lax--Phillips scattering scheme  free evolution  Laplacian  nonperturbed operator  wave equation
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