2019
Том 71
№ 8

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

Kuzhel' S. A.

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Abstract

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 corresponding scattering matrices.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 12, pp 1844-1859.

Citation Example: Kuzhel' S. A. On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation // Ukr. Mat. Zh. - 1998. - 50, № 12. - pp. 1615–1629.

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