The Stability of the Linear Transport Equation in a Nonmultiplying Medium1

The stability of the linear transport equation is established when the host medium is nonmultiplying and occupies a bounded convex body. Under the assumption that the minimal value of the collision frequency or the minimal speed of the transport particles is larger than zero, the exponential stability is proven. When this condition is not valid, the stability (but nonexponential stability) result is obtained