L^p空间上一类迁移算子的本征值

The eigenvalues for a class of linear transport operator in L p spaces

研究非均匀板几何介质、具各向异性散射裂变和连续能量的极为一般的迁移模型。使用泛函分析方法，特别是Ｌｐ空间上线性算子理论，证明了迁移算子在Ｌｐ空间存在离散本征值、占优本征值、严格占优本征值，１≤ｐ＜＋∞，并获得可供实际工作者使用的估计式。

In this paper we investigate the non-homogeneons slab with anisotropic scattering and fission,with contins energy.By the functional analysis,esspetially the linear operator theory in L p spaces,we show the existence of the discrete eigenvalues,the dominant eigenvalues,and the strictly dominant eigenvalues in L p spaces,1≤p<+∞.We also obtain a few estimates in terms of some phy sical parameters,which can supply reference to practical workers.