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Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
Multi angle
Authors : Bellassoued, Mourad (Author of the conference)
CIRM (Publisher )
35Q55 - NLS-like equations (nonlinear Schrödinger)
35Q60 - PDEs in connection with optics and electromagnetic theory
35R30 - Inverse problems for PDE
35R35 - Free boundary problems
CIRM (Publisher )
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Abstract :
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
MSC Codes : inverse problem - Schrödinger equation - magnetic field
35Q55 - NLS-like equations (nonlinear Schrödinger)
35Q60 - PDEs in connection with optics and electromagnetic theory
35R30 - Inverse problems for PDE
35R35 - Free boundary problems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : French Available date : 07/01/15 Conference Date : 11/12/14 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:56:53 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-12-11_Bellassoued.mp4 
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Information on the Event
Event Title : LEM2I international conference / Colloque international du LEM2IEvent Organizers : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne Dates : 08/12/14 - 12/12/14 Event Year : 2014 Event URL : http://lem2i-2014.sciencesconf.org/
Citation Data
DOI : 10.24350/CIRM.V.18653403Cite this video as: Bellassoued, Mourad (2014). Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18653403 URI : http://dx.doi.org/10.24350/CIRM.V.18653403 |
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
