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'


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.


Wave Equation Additional Property Time Reversion Abstract Wave Abstract Wave Equation 
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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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