Abstract:
The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators L under which the operator-differential equation utt=−Lu determines a free evolution in the Lax–Phillips scattering scheme.
Citation:
S. A. Kuzhel, “On the Determination of Free Evolution in the Lax–Phillips Scattering Scheme for Second-Order Operator-Differential Equations”, Mat. Zametki, 68:6 (2000), 854–861; Math. Notes, 68:6 (2000), 724–729