Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate
By Michael V. Klibanov. 2004
52 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/953ef3c09389a0a23ca0746e7ac5d59d71608f54
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Yavar Kian
- Masahiro Yamamoto
- Mourad Choulli
- Yuri Luchko
- Enrique Zuazua
- Ibtissem Ben Aicha
- Sylvain Ervedoza
- Xu Liu
In Computational Theory and Mathematics
- Yavar Kian
- Masahiro Yamamoto
- Mourad Choulli
- Oleg Yu. Imanuvilov
- Gunther Uhlmann
- Enrique Zuazua
- Michael V. Klibanov
- Ibtissem Ben Aicha
In Mathematical Physics
- Yavar Kian
- Masahiro Yamamoto
- Mourad Choulli
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Gunther Uhlmann
- Enrique Zuazua
- Michael V. Klibanov
Citations in the corpus
- Carleman estimates for parabolic equations and applications (2009, methodology): “As for works concerning the determination of nonlinearity in a parabolic equation by Carleman estimates, see [[18, 43, 94, 99, 101] and [105], chapter 4].”
- Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term (2016, background): “Stability estimates and uniqueness in the case of a single boundary lateral measurement has been proved in [21, 36] for a restricted class of unknown nonlinearities.”