摘要
本文讨论了一般有界凸体中具各向异性、连续能量、非均匀介质的迁移算子广义本征函数系统的完整性问题,利用我们探索的相对收敛方法,证明了:对迁移半群E(t),当O∈Pσ(E(t))时,迁移算子的广义本征函数系统不完整。当OPσ(E(t)),仅当满足相对收敛条件时。
The completeness of generalized eigenfunction system of the transport Operator for a anisotropic.Continuate energy.nonhomogeneous convex medium is discussed in this paper.By terms of the relative convergent method we recreat,We show that if 0∈P λ(E(t)),where E(t)(t≥0) is transport semigroup,then generalized eigeafunction system of transport operator is not complete.if 0P σ(E(t)),then the generalized eigenfunction system is complete only and only if it satisfies the condition of relative convergence.
基金
国家自然科学基金
江西省自然科学基金
关键词
迁移算子
广义本征函数
完整性
散射
裂变
transport operator
generalized eigenfunction system
completeness