Uniqueness results for discrete Shrödinger evolution
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | LYUBARSKII, Yurii | |
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | MALINNIKOVA, Eugenia | |
| hal.structure.identifier | Department of Mathematical Sciences | |
| dc.contributor.author | PERFEKT, Karl-Mikael | |
| dc.date.accessioned | 2024-04-04T03:18:07Z | |
| dc.date.available | 2024-04-04T03:18:07Z | |
| dc.date.created | 2015-04 | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0213-2230 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194372 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Analyse Variationnelle en Tomographies photoacoustique, thermoacoustique et ultrasonore - ANR-12-BS01-0001 | |
| dc.description.sponsorship | Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007 | |
| dc.description.sponsorship | Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003 | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.title.en | Uniqueness results for discrete Shrödinger evolution | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| bordeaux.journal | Revista Matemática Iberoamericana | |
| bordeaux.page | 949-966 | |
| bordeaux.volume | 34 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01163977 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01163977v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Revista%20Matem%C3%A1tica%20Iberoamericana&rft.date=2018&rft.volume=34&rft.spage=949-966&rft.epage=949-966&rft.eissn=0213-2230&rft.issn=0213-2230&rft.au=JAMING,%20Philippe&LYUBARSKII,%20Yurii&MALINNIKOVA,%20Eugenia&PERFEKT,%20Karl-Mikael&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||