板几何中具反射边界条件的迁移算子的谱  

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

作　　者：王胜华[1] 马江山[1] 

机构地区：[1]上饶师范学院数学与计算机系,上饶334001

出　　处：《应用泛函分析学报》2007年第1期90-96,共7页Acta Analysis Functionalis Applicata

基　　金：江西省自然科学基金(0311022);江西省高校重点学科经费资助

摘　　要：在LP(1p<∞)空间研究了板几何中一类带反射边界条件具各向异性、连续能量、均匀介质迁移算子的谱,证明了该迁移算子生成C0半群的Dyson-Phillips展开式的二阶余项在LP(1<P<∞)(L1)空间中是紧(弱紧)的,从而得到了该迁移算子的占优本征值的存在性等结果.The objective of this paper is to research spectral analyse of transport operator with anisotropic continuous energy homogeneous slab geometry in reflecting boundary condition, it proves the transport operator generates a strongly continuous semigroup and the compactness properties of the second-order remained term of the Dyson-Phillips expansion for the Co semigroup, and to obtain the spectrum of the transport operator only consist of finite isolated eigenvalue which have a finite algebraic multiplicity in trip Г, and to prove the existence of the dominand eigenvalue .

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]