The resolvent relation of Sobolev for vector integral transfer equations in a half-space

The resolvent relation of Sobolev for vector integral transfer equations in a half-space

The semi-inverse factorization method for the derivation of the Sobolev resolvent relation (SRR) for the transfer of radiation in a homogeneous half-space is proposed. The SRR is extended to vector, integral transfer equations. The method is compared with the non-linear factorization equation method...

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Veröffentlicht in:Astronomy reports 2017-07, Vol.61 (7), p.624-630
1. Verfasser: Engibaryan, N. B.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics
Derivation
Factorization
Half spaces
Mathematical analysis
Observations and Techniques
Physics
Physics and Astronomy
Radiation
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Zusammenfassung:The semi-inverse factorization method for the derivation of the Sobolev resolvent relation (SRR) for the transfer of radiation in a homogeneous half-space is proposed. The SRR is extended to vector, integral transfer equations. The method is compared with the non-linear factorization equation method. The application of the SRR to the transfer of resonance radiation is discussed.
ISSN:1063-7729
1562-6881
DOI:10.1134/S106377291706004X