板模型中一类带广义边界条件具各向异性迁移算子的谱  

The Spectrum of Transport Operator with General Boundary Condition in Slab Geometry

作　　者：郑远广[1] 王胜华 

机构地区：[1]南昌大学数学系,江西南昌330031 [2]上饶师院数学与计算机系,江西上饶334001

出　　处：《南昌大学学报（理科版）》2006年第6期517-521,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省自然科学基金资助项目(0311022)

摘　　要：研究了在板模型中一类带广义边界条件具各向异性、单能、均匀介质迁移算子A的谱,证明了其生成的c0半群Dyson-Ph illips展开式的二阶余项是紧的,从而得到迁移算子A的一些谱性质。The paper is concerned with the spectral properties of the transport operator general boundary cond and then itions. It prove that the seconel order remainder of the semigroup generated by the transport operator is compact, and then present the spectral property of the transport operator.

关 键 词：迁移算子 C0半群 二阶余项 占优本征值 

分 类 号：O177.2[理学—数学]