JAMING, Philippe; LYUBARSKII, Yurii; MALINNIKOVA, Eugenia; PERFEKT, Karl-Mikael

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JAMING, Philippe
Institut de Mathématiques de Bordeaux [IMB]

LYUBARSKII, Yurii
Department of Mathematical Sciences

MALINNIKOVA, Eugenia
Department of Mathematical Sciences

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Article de revue

Este ítem está publicado en

Revista Matemática Iberoamericana. 2018, vol. 34, p. 949-966

European Mathematical Society

Resumen en inglés

We prove that if a solution of the discrete time-dependent Schrödinger equation with bounded time-independent real potential decays fast at two distinct times then the solution is trivial. For the free Shrödinger operator or operators with compactly supported potential a sharp analog of the Hardy uncertainty principle is obtained. The argument is based on the theory of entire functions. Logarithmic convexity of weighted norms is employed for the case of general real-valued bounded potential, for this case the result is not optimal.< Leer menos

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194372

Proyecto ANR

Analyse Variationnelle en Tomographies photoacoustique, thermoacoustique et ultrasonore - ANR-12-BS01-0001
Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251