This article is cited in 8 papers

On the Determination of Free Evolution in the Lax–Phillips Scattering Scheme for Second-Order Operator-Differential Equations

S. A. Kuzhel

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators $L$ under which the operator-differential equation $u_{tt}=-Lu$ determines a free evolution in the Lax–Phillips scattering scheme.

UDC: 517.432

Received: 12.07.1999

DOI: 10.4213/mzm1008

 English version: Mathematical Notes, 2000, 68:6, 724–729

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