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

DOI10.1023/B:UKMA.0000010254.76966.95zbMath1100.47521OpenAlexW1991057428MaRDI QIDQ5693678

Sergei Kuzhel

Publication date: 28 September 2005

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:ukma.0000010254.76966.95

zbMATH Keywords

Hilbert spaceLax-Phillips scattering schemeabstract wave equationoperator of time inversion

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Abstract hyperbolic equations (35L90) Scattering theory of linear operators (47A40)

Related Items (3)

Approximate resonance states in the semigroup decomposition of resonance evolution ⋮ On the Lax-Phillips scattering matrix of the abstract wave equation ⋮ On the S-matrix of Schrödinger operator with nonlocal δ-interaction

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