Boundary Value Problem for the Transfer Equation of Amplitude Modulated Radiation

I. V. Prokhorov, V. M. Moon

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In the paper а class of solutions of the non-stationary radiative transfer equation with the harmonic time-dependence have been considered. In this class solubility of the boundary-value problem with generalized matching conditions on the interface are proved and estimations for the solutions are obtained.

Key words: radiation transport theory, boundary value problems.

UDC: 517.958

MSC: Primary 35Q60; Secondary 35R30

Received: 06.05.2009

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