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arXiv · 1107.2682

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

Rolci Cipolatti
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Abstract

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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Rolci Cipolatti. 2011-07-13. Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements. https://arxiv.org/abs/1107.2682

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