Identification of two independant coefficients with one observation for a nonlinear parabolic system

Michel Cristofol (1, 2, 3, 4) , Patricia Gaitan (5) , Hichem Ramoul (6) , Masahiro Yamamoto (7)

1 I2M - Institut de Mathématiques de Marseille
2 AMU - Aix Marseille Université
3 CNRS - Centre National de la Recherche Scientifique
4 ECM - École Centrale de Marseille
5 LATP - Laboratoire d'Analyse, Topologie, Probabilités
6 CUK - Centre universitaire de Khenchela
7 Department of Mathematics

This article is devoted to prove a stability result for two independent coefficients for a 2 × 2 nonlinear parabolic system with only one observa- tion. The main idea to obtain this result is to use a modified form of the Carleman estimate given in a previous paper by the authors.

Mots clés: inverse problems; Carleman estimates

Domaines: Equations aux dérivées partielles [math.AP]

Michel Cristofol, Patricia Gaitan, Hichem Ramoul, Masahiro Yamamoto. Identification of two independant coefficients with one observation for a nonlinear parabolic system. Applicable Analysis, 2008. ⟨hal-00420510⟩