On the solvability of plane-parallel problems in the theory of radiation transport

Yu. V. Knyazikhin

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 557-569

Résumé

Numerical sequences are constructed for a fundamental problem in transport theory which converge to the largest eigenvalue with respect to an excess and a deficiency. Problems of the solvability of general boundary-value problems in plane-parallel geometry are studied on the basis of these results. The technique of the theory of operators which are positive with respect to a cone is used.

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