Geodesic
Boundary Value Problem for the Transfer Equation of Amplitude Modulated Radiation
Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 150-160

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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. 
@article{DVMG_2009_9_1_a12,
     author = {I. V. Prokhorov and V. M. Moon},
     title = {Boundary {Value} {Problem} for the {Transfer} {Equation} of  {Amplitude} {Modulated} {Radiation}},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {9},
     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2009_9_1_a12/}
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I. V. Prokhorov; V. M. Moon. Boundary Value Problem for the Transfer Equation of  Amplitude Modulated Radiation. Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 150-160. http://geodesic.mathdoc.fr/item/DVMG_2009_9_1_a12/