一类具广义边界条件的迁移方程的谱分布  

The Spectral Distribution of Transport Equation with General Boundary Condition

作　　者：程国飞[1] 吴红星[2] 

机构地区：[1]南昌大学数学系 [2]上饶师范学院

出　　处：《上饶师范学院学报》2009年第6期17-20,共4页Journal of Shangrao Normal University

基　　金：江西省自然科学基金资助课题(2007GZS0105)

摘　　要：本文在L2空间上研究了板几何中一类具各向异性、连续能量、均匀介质带广义边界条件的迁移方程,得出了该A算子在带域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 transport equation for anisotropic, continuous energy and homo- geneous with general boundary condition in slab geometry of L^2 space. It obtains that the transport operator A Ires no complex eigenvalues, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multi- plicity in trip Pas（A）.

关 键 词：迁移方程 紧算子 广义边界条件 复本征值 实离散本征值 

分 类 号：O177.2[理学—数学]