Abstract Lax-Phillips scattering scheme for second-order operator-differential equations

We construct an analog of the Lax-Phillips scattering scheme for an abstract operator-differential equation u u=-Lu under certain restrictions imposed on the operator L. In particular, we construct the incoming and outcoming subspaces and describe singularities of the scattering matrix in terms of t...

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Bibliographic Details
Date:1996
Main Authors: Kuzhel', S. A., Кужіль, С. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5310
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal