Introduction on inverse problems : Three approaches (part 2/2) | Vidéo | Carmin.tv

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Introduction on inverse problems : Three approaches (part 2/2)

By Michel Cristofol

Appears in collection : Michel Cristofol: Introduction on inverse problems

The goal of this course is to give a short survey on the domain of Inverse Problems. After a general introduction I will focus on the parabolic operators and I will present around the same toy problem different technics:
- the Dirichlet to Neumann methodology (see [1]), - the Carleman inequalities approach (see [2]),
- and I will conclude with a recent technic using pointwise observations. (see [3]).

Information about the video

Date of recording 09/11/2020
Date of publication 09/11/2020
Institution CIMPA
Language French
Audience Researchers, Graduate Students
Format MP4
Venue ENSA, Université Ibn Tofail

Domain(s)

Analysis of PDEs

Bibliography

[1] M Chouli. Une introduction aux problemes inverses elliptiques et paraboliques. Springer-Verlag, 2009.
[2] M Yamamoto. Carleman estimates for parabolic equations and applications. Inverse Problems, 25(12): 123013, 2009. http://dx.doi.org/10.1088/0266-5611/25/12/123013
[3] L Roques and M Cristofol. On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation. Nonlinearity, 23: 675--686, 2010. arXiv:1006.0805

MSC codes

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