On the boundary control method | Vidéo | Carmin.tv

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Chapters

On the boundary control method

By Lauri Oksanen

Appears in collection : Summer pre-school on inverse problems / Ecole d'été sur les problèmes inverses

This is a survey talk about the Boundary Control method. The method originates from the work by Belishev in 1987. He developed the method to solve the inverse boundary value problem for the acoustic wave equation with an isotropic sound speed. The method has proven to be very versatile and it has been applied to various inverse problems for hyperbolic partial differential equations. We review recent results based on the method and explain how a geometric version of method works in the case of the wave equation for the Laplace-Beltrami operator on a compact Riemannian manifold with boundary.

Information about the video

Date of recording 14/04/2015
Date of publication 28/04/2015
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18752103
Cite this video Oksanen, Lauri (14/04/2015). On the boundary control method. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18752103
URL https://dx.doi.org/10.24350/CIRM.V.18752103

Domain(s)

Analysis of PDEs

Bibliography

Liu, S., & Oksanen, L. (2012). A Lipschitz stable reconstruction formula for the inverse problem for the wave equation. <arXiv:1210.1094> - http://arxiv.org/abs/1210.1094
Lassas, M., & Oksanen, L. (2014. Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets. Duke Mathematical Journal, 163(6), 1071-1103 - http://dx.doi.org/10.1215/00127094-2649534

MSC codes

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