Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map

We prove logarithmic stability in the determination of the time-dependent scalar potential in a periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation.

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Bibliographische Detailangaben
Hauptverfasser:	Choulli, Mourad, Kian, Yavar, Soccorsi, Eric
Format:	Buchkapitel
Sprache:	eng
Schlagworte:	Analysis of PDEs Boundary Measurements Cylindrical Waveguide Differential equations Functional analysis & transforms Integral equations Logarithmic Stability Mathematics Periodic Quantum Time-dependent Electric Potential
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove logarithmic stability in the determination of the time-dependent scalar potential in a periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation.
ISSN:	2281-518X 2281-5198
DOI:	10.1007/978-3-319-11406-4_5