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

Authors

  • S. A. Kuzhel'

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.

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Published

25.05.2003

Issue

Vol. 55 No. 5 (2003)

Section

Research articles

How to Cite

Kuzhel', S. A. “On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 5, May 2003, pp. 621-30, https://umj.imath.kiev.ua/index.php/umj/article/view/3938.