On the Determination of Free Evolution in the Lax--Phillips Scattering Scheme for Second-Order Operator-Differential Equations |
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Authors: | S. A. Kuzhel |
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Affiliation: | (1) Mathematics Institute, Ukrainian National Academy of Sciences, Kiev |
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Abstract: | The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators L under which the operator-differential equation determines a free evolution in the Lax--Phillips scattering scheme. |
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Keywords: | Lax--Phillips scattering scheme free evolution Laplacian nonperturbed operator wave equation |
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