Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements

Details Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements

2011-07-13

arxiv.org/abs/1107.2682v1

Mathematics

Analysis of PDEs

Plain TeX with 19 pages

Scientific paper

In this paper we consider an inverse problem for the time dependent linear Boltzmann equation. It concerns the identification of the coefficients via a finite number of measurements on the boundary. We prove that the total extinction coefficient and the collision kernel can be uniquely determined by at most k measurements on the boundary, provided that these coefficients belong to a finite k-dimensional vector space.

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