ESAIM: Control, Optimisation and Calculus of Variations

Table of Contents - 2000 - Volume 5  

Research Article

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

Agoshkov, Valeri I.a1 and Bardos, Claudea2

a1 Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia, and CMLA, ENS Cachan, France; agoshkov@inm.ras.ru.

a2 CMLA, ENS Cachan, France.

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.

(Received November 13 1998)

(Revised December 22 1999)

(Revised March 17 2000)

(Online publication August 15 2002)

Key Words:

  • Optimal control;
  • inverse problem;
  • inverse radiative transfer problem;
  • reflection operator;
  • control equation operator;
  • regularization parameter;
  • iterative algorithm.

Mathematics Subject Classification:

  • 49;
  • 35Q