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

Resumo

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.