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

Autor:	Maïtine Bergounioux, Erica L. Schwindt
Rok vydání:	2015
Předmět:	Applied Mathematics Mathematical analysis Process (computing) Tomography Uniqueness Photo acoustic Inverse problem Optimal control Observation data Stability (probability) Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 431:1138-1152
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2015.06.024
Popis:	This article deals with the uniqueness and stability of the solution of a problem of optimal control related to the photo-acoustic tomography 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::74d2ee1d359653054bdbbdff49246337 https://doi.org/10.1016/j.jmaa.2015.06.024 Zobrazit plný text záznamu Full Text from ScienceDirect