ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)

Free access article

DOI: 10.1051/cocv:2000110

ESAIM: COCV, May 2000, Vol. 5, p. 259-278

Optimal control approach in inverse radiative transfer problems: the problem on boundary function

Valeri I. Agoshkov
Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia, and CMLA, ENS Cachan, France; (agoshkov@inm.ras.ru)

Claude Bardos
CMLA, ENS Cachan, France.

Received November 13, 1998. Revised December 22, 1999 and March 17, 2000.

Abstract: The paper presents some results related to the optimal control approachs applying to inverse radiative transfer problems, to the theory of reflection operators, to the solvability of the inverse problems on boundary function and to algorithms for solution of these problems.

Keywords and phrases: Optimal control, inverse problem, inverse radiative transfer problem, reflection operator, control equation operator, regularization parameter, iterative algorithm.

AMS Subject Classification: 49, 35Q

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