On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation

• Date: 1998
• Main Authors: Kuzhel', S. A., Кужіль, С. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4781
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give the definition of $ρ$-perturbations of an abstract wave equation. As a special case, this definition includes perturbations with compact support for the classical wave equation. By using the Lax-Phillips method, we study scattering of “$ρ$-perturbed” systems and establish some properties of...