Boltzmann积分—微分方程解的渐近行为

Upper and Lower Bounds of the Solution for the Neutron Transport Problem

本文利用[1]中的占优本征值理论,改进[2][3]中的有关结果,获得与时间有关的中子迁移理论中动态解的更具体和更精确的性质估计。

In this paper, we establish upper and lower bounds of the solution for the time-dependent linear transport problem by a monotone argument. The-approach also leads to the existence of an unique nonnegative solution.