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Asymptotics for Optimal Design Problems for the Schrödinger Equation with a Potential
Joint Authors
Waters, Alden
Merkurjev, Ekaterina
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study the problem of optimal observability and prove time asymptotic observability estimates for the Schrödinger equation with a potential in L∞Ω, with Ω⊂Rd, using spectral theory.
An elegant way to model the problem using a time asymptotic observability constant is presented.
For certain small potentials, we demonstrate the existence of a nonzero asymptotic observability constant under given conditions and describe its explicit properties and optimal values.
Moreover, we give a precise description of numerical models to analyze the properties of important examples of potentials wells, including that of the modified harmonic oscillator.
American Psychological Association (APA)
Waters, Alden& Merkurjev, Ekaterina. 2018. Asymptotics for Optimal Design Problems for the Schrödinger Equation with a Potential. Journal of Optimization،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1197288
Modern Language Association (MLA)
Waters, Alden& Merkurjev, Ekaterina. Asymptotics for Optimal Design Problems for the Schrödinger Equation with a Potential. Journal of Optimization No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1197288
American Medical Association (AMA)
Waters, Alden& Merkurjev, Ekaterina. Asymptotics for Optimal Design Problems for the Schrödinger Equation with a Potential. Journal of Optimization. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1197288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197288