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Inverse problems for the nonstationary kinetic transport equation. (English) Zbl 0785.45007

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 307-311 (1992).
Summary: Two kinds of inverse problems for the nonstationary kinetic transport equation are considered. The first group includes the inverse problems of searching stationary parameters by time-dependent overdetermination. The theorems on global uniqueness and stability are proved for this case. The second group consists of the inverse problems with no initial condition. In these problems it is necessary to find time-dependent unknown parameters by the overdetermination on unbounded time interval.
For the entire collection see [Zbl 0772.00034].

MSC:

45K05 Integro-partial differential equations
45M10 Stability theory for integral equations
82C70 Transport processes in time-dependent statistical mechanics
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