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Ukrainian Mathematical Journal

, Volume 55, Issue 5, pp 749–760 | Cite as

On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation

  • S. A. Kuzhel'
Article

Abstract

We find necessary and sufficient conditions under which orthogonal incoming and outgoing subspaces exist for a group of solutions of an abstract wave equation and possess an additional property of “equivalence” with respect to the operator of time reversion.

Keywords

Wave Equation Additional Property Time Reversion Abstract Wave Abstract Wave Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • S. A. Kuzhel'
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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