Observability of a 1D Schrödinger equation with time-varying boundaries
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HOANG, Duc Trung | |
| dc.date.accessioned | 2024-04-04T03:06:42Z | |
| dc.date.available | 2024-04-04T03:06:42Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193359 | |
| dc.description.abstractEn | We discuss the observability of a one-dimensional Schrödinger equation on certain time dependent domain. In linear moving case, we give the exact boundary and pointwise internal observability for arbitrary time. For the general moving, we provide exact boundary observability when the curve satisfies some certain conditions. By duality theory, we establish the controllability of adjoint system. | |
| dc.language.iso | en | |
| dc.subject.en | Observability | |
| dc.subject.en | controllability | |
| dc.subject.en | Schrödinger equation | |
| dc.subject.en | moving domain | |
| dc.subject.en | non- | |
| dc.subject.en | autonomous evolution equation | |
| dc.title.en | Observability of a 1D Schrödinger equation with time-varying boundaries | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01721274 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01721274v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HOANG,%20Duc%20Trung&rft.genre=preprint |
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