Stability result for two coefficients in a coupled hyperbolic-parabolic system

Patricia Gaitan (1, 2) , Hadjer Ouzzane (3)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale
3 AMNEDP - Laboratoire AMNEDP, Faculté de Mathématiques, Université USTHB, Algérie

This work is concerned with the study of the inverse problem of determining two coefficients in a hyperbolic-parabolic system using the following observation data: an interior measurement of only one component and data of two components at a fixed time over the whole spatial domain. A Lipschitz stability result is proved using Carleman estimates.

Mots clés: Inverse problems; Carleman estimates; coupled systems

Domaines: Equations aux dérivées partielles [math.AP]

Patricia Gaitan, Hadjer Ouzzane. Stability result for two coefficients in a coupled hyperbolic-parabolic system. Journal of Inverse and Ill-posed Problems, 2017, 25 (3), ⟨10.1515/jiip-2015-0017⟩. ⟨hal-01663011⟩