板几何中一类具各向异性的迁移算子的谱  

The Spectrum of Transport Operator with Anisotropic in Slab Geometry

作　　者：吴红星[1] 王胜华[2] 

机构地区：[1]南昌大学数学系,江西南昌330047 [2]上饶师范学院,江西上饶334001

出　　处：《上饶师范学院学报》2007年第6期1-4,共4页Journal of Shangrao Normal University

基　　金：江西省自然科学基金资助课题(0311022)

摘　　要：本文研究了板几何中一类具各向异性、单能、均匀介质迁移算子A的谱,得出了该算子A在带域Pas(A)中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。The objective of this paper is to research the spectrum of transpert operator A with anisotropic, monoenergy and homogeneous in slab geometry. It obtains that the transport operator A has no complex eigenvalues, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas（A）.

关 键 词：迁移算子 正定算子 复本征值 实离散本征值 

分 类 号：O177.2[理学—数学]