This article is cited in 5 papers

A non-linear boundary-value problem in the theory of radiation transfer

A. V. Kalinin, S. F. Morozov

Gor'kii

Abstract: For a non-linear steady-state system of equations of radiation transfer in a two-level approximation, the existence and uniqueness of the solution are established, and an iterative method for constructing the solutons is shown to be convergent.

UDC: 517.958:536.71

MSC: Primary 45K05; Secondary 45G10, 85A25

Received: 09.03.1989
Revised: 27.12.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:4, 76–83

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