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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 11/9/20
  • Date of publication 11/9/20
  • Institution CIMPA
  • Language French
  • Audience Researchers, Graduate Students
  • Format MP4
  • Venue ENSA, Université Ibn Tofail

Domain(s)

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

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