||35R30||Inverse problems for PDEs|
In this article we consider the inverse problem of determining some of the
coefficients of a two-by-two parabolic system defined on an unbounded guide. Using an
adapted Carleman estimate, we establish local stability results for at least two coefficients
of this system in any finite portion of the guide. These estimates are obtained with data of
the solution at a fixed time and boundary measurements for observations.