Invariant subspaces for the Schrödinger evolution group
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Tohru Ozawa (1991)
Annales de l'I.H.P. Physique théorique
Jean-François Bony, Dietrich Häfner (2012)
Annales scientifiques de l'École Normale Supérieure
Let be a long range metric perturbation of the Euclidean Laplacian on , . We prove local energy decay for the solutions of the wave, Klein-Gordon and Schrödinger equations associated to . The problem is decomposed in a low and high frequency analysis. For the high energy part, we assume a non trapping condition. For low (resp. high) frequencies we obtain a general result about the local energy decay for the group where has a suitable development at zero (resp. infinity).
Stefan Hildebrandt (1979)
Mathematische Zeitschrift
G. Auberson, G. Mennessier (1979)
Annales de l'I.H.P. Physique théorique
Fernández-García, Nicolás, Rosas-Ortiz, Oscar (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
В.И. Шубов (1980)
Zapiski naucnych seminarov Leningradskogo
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