Factorization Methods in Linear Transport Theory

Abstract

Time-independent linear transport problems in plane slab configurations are described abstractly by differential equations of mixed forward-backward type. The solution of boundary value problems requires the introduction of extension operators, whose existence reflects the factorization property of the symbol of the transport equation. In this article we use the simplest model transport equation to illustrate the structure of these problems. We also indicate various generalizations that have been investigated in the context of linear transport theory.