Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field | Vidéo | Carmin.tv

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Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field

By Mourad Bellassoued

Appears in collection : LEM2I international conference / Colloque international du LEM2I

This talk is devoted to the study of the following inverse boundary value problem: given a Riemannian manifold with boundary determine the magnetic potential in a dynamical Schrödinger equation in a magnetic field from the observations made at the boundary.

inverse problem - Schrödinger equation - magnetic field

Information about the video

Date of recording 11/12/2014
Date of publication 07/01/2015
Institution CIRM
Licence CC BY NC ND
Language French
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18653403
Cite this video Bellassoued, Mourad (11/12/2014). Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18653403
URL https://dx.doi.org/10.24350/CIRM.V.18653403

Domain(s)

Analysis of PDEs

Bibliography

Bellassoued, M., & Dos Santos Ferreira, D. (2010). Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map. Inverse Problems, 26(12), 30 p. - http://dx.doi.org/10.1088/0266-5611/26/12/125010
Bellassoued, M., & Choulli, M. (2010). Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map. Journal of Functional Analysis, 258(1), 161-195 - http://dx.doi.org/10.1016/j.jfa.2009.06.010
Bellassoued, M., & Benjoud, H. (2008). Stability estimate for an inverse problem for the wave equation in a magnetic field. Applicable Analysis: An International Journal, 87(3), 277-292 - http://dx.doi.org/10.1080/00036810801911264

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