Stability estimates for an inverse problem for the linear Boltzmann equation.
Cipolatti, Rolci ; Motta, Carlos M. ; Roberty, Nilson C.
Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006), p. 113-132 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2006-01-01
DMLE-ID : 3454 
@article{urn:eudml:doc:40878,
     title = {Stability estimates for an inverse problem for the linear Boltzmann equation.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {19},
     year = {2006},
     pages = {113-132},
     zbl = {1220.35191},
     mrnumber = {MR2219823},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40878}
}

Cipolatti, Rolci; Motta, Carlos M.; Roberty, Nilson C. Stability estimates for an inverse problem for the linear Boltzmann equation.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 113-132. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40878/