2017
Том 69
№ 9

All Issues

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

Kuzhel' S. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 5, pp 749-760.

Citation Example: Kuzhel' S. A. On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation // Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 621-630.

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