Inverse problems of the determining the absorption coefficient and the de-excitation function for certain spatial domains. (English. Russian original) Zbl 0799.35223

Comput. Math. Math. Phys. 33, No. 4, 525-542 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 4, 578-599 (1993).
Summary: The existence and uniqueness of the solutions of new inverse spatial problems are investigated.
These problems are concerned with the determination of the absorption coefficient, the determination of the de-excitation function and the combined determination of the absorption coefficient and the de- excitation function, in the case of specified radiation which is incident from outside and a known fraction of the emergent radiation in the case of the stationary radiation transport equation without scattering in an infinite cylinder, a finite cylinder and a cone.


35R30 Inverse problems for PDEs
45K05 Integro-partial differential equations
82C70 Transport processes in time-dependent statistical mechanics