Transport equations

N. B. Engibaryan, A. G. Barseghyan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia

Abstract: We study questions of the general theory and solution methods for linear transport problems in a homogenous half-space and in a plane layer of finite thickness. We propose developing a factorization interpretation of the operator approach and consider the nonlinear factorization equations and generalized Ambartsumian equation in combination with the possibilities of two analytic semigroups.

Keywords: transport equation in a plane case, operator approach, factorization, analytic semigroup.

Received: 24.02.2014

DOI: 10.4213/tmf8667

 English version: Theoretical and Mathematical Physics, 2014, 180:2, 932–941

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