Lipschitz stability in the determination of the principal part of a parabolic equation
By Ganghua Yuan, Masahiro Yamamoto. 2009
59 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/954a4c5b0f7f1939097b800e1e9b6c7ad1be8ff1
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In Computational Theory and Mathematics
- Bastian von Harrach
- Yi-Hsuan Lin
- Masahiro Yamamoto
- Gunther Uhlmann
- Oleg Yu. Imanuvilov
- Enrique Zuazua
- Michael V. Klibanov
- Katya Krupchyk
In Control and Systems Engineering
- Bastian von Harrach
- Yi-Hsuan Lin
- Masahiro Yamamoto
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Ganghua Yuan
- Michael V. Klibanov
- Xu Liu
In Mathematical Physics
- Bastian von Harrach
- Yi-Hsuan Lin
- Masahiro Yamamoto
- Gunther Uhlmann
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Enrique Zuazua
- Michael V. Klibanov
Citations in the corpus
- Carleman estimates for parabolic equations and applications (2009, methodology): “Yamamoto and Zou [143] proved the Lipschitz stability in determining c(x), x ∈ and for it, the assumption u(x, t0) > 0 for x ∈ is essential.”
- Monotonicity-based inversion of the fractional Schr\"odinger equation (2017, background): “Lipschitz stability (that was already utilized in [37, 33, 67]), differs from traditional approaches that are mostly based on quantitative unique continuation or quantitative Runge approximation, cf., [52, 2, 48, 49, 19, 5, 7, 10, 54, 53, 11, 68, 73, 74, 14, 13, 60, 4, 12, 9, 3, 66]. Our new approach”