HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information

# On a Non Linear Geometrical Inverse Problem of Signorini type : Identifiability and Stability

Abstract : This report deals with a non linear inverse problem of identification of unknown boundaries, on which the prescribed conditions are of Signorini type. We first prove an identifiability result, in both frameworks of steady state thermal and elastostatics testing. Local Lipschitz stability of the solutions with respect to the boundary measurements is also established, in case of unknown boundaries which are parts of ${\cal C}^{1,\beta}$ Jordan curves, with $\beta > 0$.
Keywords :
Document type :
Reports
Domain :

https://hal.inria.fr/inria-00077198
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Monday, May 29, 2006 - 5:18:32 PM
Last modification on : Thursday, February 3, 2022 - 11:13:58 AM
Long-term archiving on: : Monday, April 5, 2010 - 9:43:24 PM

### Identifiers

• HAL Id : inria-00077198, version 1

### Citation

Amel Ben Abda, Slim Chaabane, Fadi El Dabaghi, Mohamed Jaoua. On a Non Linear Geometrical Inverse Problem of Signorini type : Identifiability and Stability. [Research Report] RR-3175, INRIA. 1997. ⟨inria-00077198⟩

Record views