Observability of a 1D Schrödinger equation with time-varying boundaries

We discuss the observability of a one-dimensional Schr\"odinger 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 sa...

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Bibliographic Details
Published inarXiv.org
Main Author Duc-Trung Hoang
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.01.2018
Subjects
Controllability
Observability (systems)
Schrodinger equation
Time dependence
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Summary:We discuss the observability of a one-dimensional Schr\"odinger 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1702.08059