instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
Inverse problem for some coupled degenerate systems with one locally distributed observation
Seminario PHD
 In this talk we are interested in an inverse source problem for a cascade system of n coupled degenerate parabolic equations. In particular, we prove Lipschitz stability and uniqueness results for the inverse problem of determining of all the source terms by observations in an arbitrary subdomain over a time interval of only one component and data of the n components at a fixed positive time T' over the whole spatial domain. The key ingredient is a Carleman estimate with a single observation acting on a subdomain.