Stability estimates for an inverse problem for the linear Boltzmann equation.

Rolci Cipolatti; Carlos M. Motta; Nilson C. Roberty

Revista Matemática Complutense (2006)

  • Volume: 19, Issue: 1, page 113-132
  • ISSN: 1139-1138

Abstract

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In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.

How to cite

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Cipolatti, Rolci, Motta, Carlos M., and Roberty, Nilson C.. "Stability estimates for an inverse problem for the linear Boltzmann equation.." Revista Matemática Complutense 19.1 (2006): 113-132. <http://eudml.org/doc/40878>.

@article{Cipolatti2006,
abstract = {In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.},
author = {Cipolatti, Rolci, Motta, Carlos M., Roberty, Nilson C.},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales en derivadas parciales; Ecuación de Boltzmann; Problemas inversos; inverese problem; Boltzmann equation; albedo operator},
language = {eng},
number = {1},
pages = {113-132},
title = {Stability estimates for an inverse problem for the linear Boltzmann equation.},
url = {http://eudml.org/doc/40878},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Cipolatti, Rolci
AU - Motta, Carlos M.
AU - Roberty, Nilson C.
TI - Stability estimates for an inverse problem for the linear Boltzmann equation.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 1
SP - 113
EP - 132
AB - In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.
LA - eng
KW - Ecuaciones diferenciales en derivadas parciales; Ecuación de Boltzmann; Problemas inversos; inverese problem; Boltzmann equation; albedo operator
UR - http://eudml.org/doc/40878
ER -

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