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

AUTOR(ES)

Cipolatti, Rolci

FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2006

RESUMO

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.

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