Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary

In this paper we consider the inverse problem of recovering the collision kernel for the time dependent linear Boltzmann equation via a finite number of boundary measurements. We prove that this kernel can be uniquely determined by at most k measurements, provided that it belongs to a finite k-dimensional vector space.

inverse problem; linear Boltzmann equation; albedo operator; boundary measurements