Uniqueness and stability in an inverse problem for the Schrödinger equation
By Lucie Baudouin, Jean-Pierre Puel. 2007
182 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/161b6b152cb0ea3324c7861fa353601116dc5eab
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In Computational Theory and Mathematics
- Masahiro Yamamoto
- Michael V. Klibanov
- Ganghua Yuan
- Oleg Yu. Imanuvilov
- Enrique Zuazua
- Gunther Uhlmann
- Mourad Bellassoued *
- Sylvain Ervedoza
In Control and Systems Engineering
- Masahiro Yamamoto
- Ganghua Yuan
- Michael V. Klibanov
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Enrique Zuazua
- Jean-Pierre Puel
- Xu Liu
In Mathematical Physics
- Masahiro Yamamoto
- Ganghua Yuan
- Michael V. Klibanov
- Oleg Yu. Imanuvilov
- Enrique Zuazua
- Sylvain Ervedoza
- Gunther Uhlmann
- Mourad Bellassoued *
Citations in the corpus
- Lipschitz stability in the determination of the principal part of a parabolic equation (2009, methodology): “[14] C. Fabre, J.-P. Puel and E. Zuazua, Approximate controllability of the semilinear heat equation.”
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems (2012, background): “Starting from [59], Carleman estimates of the Fursikov-Imanuvilov type became popular in the inverse problems community, see, e.g. the papers of Baudouin and Puel [7] and Cristofol, Gaitan and Ramoul [45].”
- Carleman estimates for the non-stationary Lamé system and the application to an inverse problem (2005, background): “As works after [8], see: (1) Baudouin and Puel [5], Bukhgeim [6] for an inverse problem of determining potentials in Schrödinger equations; (2) Imanuvilov and Yamamoto [21], Isakov [29, 30], Klibanov [35] for the corresponding inverse problems for parabolic equations; (3) Bukhgeim, Cheng, Isakov and”