Full paper in PDF:
$%R. Cipolatti, C. M. Motta, and N. C. Roberty, Stability estimates for an inverse problem for the linear Boltzmann equation, Rev. Mat. Complut. 19 (2006), no. 1, 113–132.%$

Stability Estimates for an Inverse Problem for the Linear Boltzmann Equation
Rolci CIPOLATTI, Carlos M. MOTTA,
and Nilson C. ROBERTY
Departamento de Métodos Matemáticos
Instituto de Matemática
Universidade Federal do Rio de Janeiro
C.P. 68530, CEP 21945-970
Rio de Janeiro — Brazil
cipolatti@im.ufrj.br
ICE/P1/DEMAT
Universidade Federal Rural do Rio de Janeiro
Rio de Janeiro — Brazil
drummath@yahoo.com
Programa de Engenharia Nuclear
COPPE, Universidade Federal do Rio de Janeiro
C.P. 68509, CEP 21945-970
Rio de Janeiro — Brazil
nilson@con.ufrj.br

Received: March 18, 2005
Accepted: June 14, 2005
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.

Key words: inverse problems, albedo operator, stability estimates.
2000 Mathematics Subject Classification: 35R30, 83D75.