On the uniqueness and stability of an inverse problem in photo-acoustic tomography

Maïtine Bergounioux (1) , Erica L. Schwindt (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

This article deals with the uniqueness and stability of the solution of a problem of optimal control related to the photo-acoustic tomog-raphy process. We prove stability results of the optimal solution with respect to the source and to the observation data and we compute the corresponding derivatives.

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Erica L. Schwindt. On the uniqueness and stability of an inverse problem in photo-acoustic tomography. Journal of Mathematical Analysis and Applications, 2015, 431 (2), pp.1138-1152. ⟨hal-01153147⟩