Section: New Results

Data completion problems for elliptic equations using the theory of factorization

Participants : Jacques Henry, Fadhel Jday.

F. Jday is continuing his thesis co-supervised by A. Ben Abda and J. Henry. The use of the method of factorization for the data completion problem has been presented in a paper in Inverse Problems when the domain is a cylinder, both Dirichlet and Neumann data are known on one face and are to be estimated on the other. Dirichlet boundary conditions were assumed on the lateral boundary. In relation to the inverse problem in electrocardiology one has to take into account more complex geometries. F. Jday considered the domain limited by two concentric spheres. The method still applies considering the family of concentric spheres deduced by homothety.