# 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

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topCipolatti, 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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