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On a form of the scattering matrix for ρ-perturbations of an abstract wave equations

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Abstract

We present the definition of ρ-perturbations of an abstract wave equation. As a special case, this definition involves perturbations with compact support for the classical wave equation. We construct the scattering matrix for equations of such a type.

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Authors
  1. S. A. Kuzhel'
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 4, pp. 445–457, April, 1999.

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Kuzhel', S.A. On a form of the scattering matrix for ρ-perturbations of an abstract wave equations. Ukr Math J 51, 492–507 (1999). https://doi.org/10.1007/BF02591754

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  • DOI: https://doi.org/10.1007/BF02591754

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