摘要
研究非均匀介质的有界凸作具连续能量和各向异性的线性迁移算子的谱。证明了扰动算子K=A-B的相对紧性,在LP空间上研究了迁移算子A的谱分析,1≤P＜＋,证明了在具有物理意义的L1空间上迁移算子A存在占优本征值和严格占优本征值。
The spectrum of the transport operator A in a nonhomogeneous finite convex medium with continuous energy is disussed in consideration of anisotropic scattering and fission. We show the relative compactness of the perturbation K= A-B, investigate the spectrum of A, and espehally obtain the dominant and the strictly dominant eigenvalue in L1 space which is the moot natural space for the transport problem.
关键词
迁移算子
紧算子
线性算子
谱
连续能量
transport oprator
weakly compact operator
compact operator
asymptotic point spectrum
dominant eigenvalue
strictly dominant eigenvalue
