Optimal stability for inverse elliptic boundary value problems with unknown boundaries

By Giovanni Alessandrini, Elena Beretta, Edi Rosset, Sergio Vessella. 2000

131 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f3afd0d8cb4d9d418abbc1e57c3a08e7180fb5c3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Jérémi Dardé
2. Laurent Bourgeois
3. Giovanni Alessandrini
4. Luca Rondi
5. Michael V. Klibanov
6. Angkana Rüland
7. Mikko Salo
8. Bastian von Harrach

Citations in the corpus

• The stability for the Cauchy problem for elliptic equations (2009, methodology): “This situation in fact often occurs in inverse problems with unknown boundaries [4, 5, 10, 23, 75, 76, 93, 101].”
• About stability and regularization of ill-posed elliptic Cauchy problems: the case of Lipschitz domains (2010, methodology): “The analysis of the conditional stability in Lipschitz domains was already addressed in [2] and [16], but in these works, the exponent of the logarithm was not specified.”