An inverse problem for the dynamical Lamé system with two sets of boundary data
By Oleg Yu. Imanuvilov, Victor Isakov, Masahiro Yamamoto. 2003
108 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b154f1bfe6894f9b93a08eb2d8e142336e3db199
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In Computational Theory and Mathematics
- Masahiro Yamamoto
- Michael V. Klibanov
- Oleg Yu. Imanuvilov
- Enrique Zuazua
- Gunther Uhlmann
- Mourad Bellassoued *
- Sylvain Ervedoza
- Ganghua Yuan
In Mathematical Physics
- Masahiro Yamamoto
- Michael V. Klibanov
- Oleg Yu. Imanuvilov
- Enrique Zuazua
- Sylvain Ervedoza
- Ganghua Yuan
- Gunther Uhlmann
- Mourad Bellassoued *
In Mechanics of Materials
- Masahiro Yamamoto
- Michael V. Klibanov
- Oleg Yu. Imanuvilov
- Mourad Bellassoued *
- D. Jellali
- Bangti Jin
- Lucie Baudouin
Citations in the corpus
- Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate (2004, background): “In the rest of publications about this method, it has been used so far for proofs of uniqueness and stability results for multidimensional inverse problems for linear PDEs only (including systems of PDEs), see, e.g., Imanuvilov and Yamamoto [5], Imanuvilov, Isakov and Yamamoto [6], Klibanov [11,13,1”
- Carleman estimates for the non-stationary Lamé system and the application to an inverse problem (2005, methodology): “The proof is similar to Isakov, Imanuvilov and Yamamoto [19], Imanuvilov and Yamamoto [22–24] and the new ingredient is an H−1-Carleman estimate (Lem.”
- Carleman estimates for parabolic equations and applications (2009, methodology): “Furthermore, we refer to [76] as for a transferring argument from an L2 Carleman estimate to an H−1 Carleman estimate for functions with compact supports.”