摘要
研究具广义边界条件、非均匀介质、各向异性和连续能量的板模型迁移算子A的谱.证明了K=A-B的相对紧性,在L1空间研究算子A的谱,以及占优本征值和严格占优本征值.
The spectrum of the transport operator A in a nonhomogeneous slab and continuous energy is discussed in consideration of anisotropic scattering and fission with generalized boundary conditions. We show the relative compactness of the perturbation K=A-B, investigate the spectrum of A, especially obtain the dominant and the strictly dominant eigenvalue in L′ space which is the most natural space for the transport problem.
出处
《应用泛函分析学报》
CSCD
2003年第4期374-380,共7页
Acta Analysis Functionalis Applicata
基金
浙江省自然科学基金(编号:102002)
关键词
迁移算子
边界条件
紧性
连续能量
本征值
广义
非均匀介质
模型
transport operator
spectrum
compact operator
weakly compact operator
dominant eigenvalue
strictly dominant eigenvalue
