有界凸体中具连续能量的迁移算子的谱分析(英文)

The Spectrum Analysis of the Transport Operator with Continuate Energy in Boundary Convex Body

本文讨论了任意有界凸体中具各向同性连续能量均匀介质的迁移算子的谱分析 ,证明了在右半平面Reλ >-d中无复本征值 ,并讨论了相应的迁移方程解的展开式和渐近稳定性等问题。

This paper discusses the spectrum of the neutron transport for isotropic continuate energy homogeneous in any bounded convex body, It is prove that this operator has not complex eigenvalue in the right half-plane Reλ>-d,and It is also discuss the expansion and the asymptotic stability of the solution corresponding transport equation.