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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01153147
Contributor : Maïtine Bergounioux Connect in order to contact the contributor
Submitted on : Tuesday, May 19, 2015 - 10:53:39 AM
Last modification on : Tuesday, October 12, 2021 - 5:20:13 PM
Long-term archiving on: : Thursday, April 20, 2017 - 2:39:45 AM

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

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