具连续能量的迁移算子的渐近点谱及其聚点

The Asymptotic Spectrum and Accumulation of Transport Operator With Continuous Energy

研究非均匀介质、各向异性和连续能量的有界凸体迁移算子A的渐近点谱及其聚点．在L^p(1≤p＜+∞)空间证明了算子K=A-B的相对紧性，获得了算子A的渐近点谱以及谱聚点分布的新结果。

In this paper we investigate the asymptotic spectrum and limit point of transport operator in a bounded convex geometry with continuous energy,anisotropic scattering and inhomogeneous medium.In L~p(1≤p<±∞) space we show the relative compactness of the operator K=A-B,obtain the new results of asymptotic point spec- trum and accumulation of operator A.