In this paper we study two problems concerned with recovering memory kernels related to two sub-bodies Ω1 and Ω2 of an open thermal body under the assumptions that and is not accessible for the measurements. Additional measurements of temperature gradient or flux type are provided on ∂Ω. In the first problem the memory kernel related to Ω1 is unknown and a single measurement is given. In the second problem both kernels are to be determined from two measurements on ∂Ω. Making use of Laplace transforms, we prove the uniqueness for these identification problems in the infinite time interval (0, ∞).
© de Gruyter 2010