一类具抽象边界条件的迁移算子的谱分布  

The spectrum distribution of a transport operator with abstract boundary condition

作　　者：吴红星[1] 王胜华[1] 袁邓彬[1] 

机构地区：[1]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《纯粹数学与应用数学》2013年第5期489-497,共9页Pure and Applied Mathematics

基　　金：江西省自然科学基金(20132BAB201002);江西省教育厅科技项目(GJJ13706;GJJ13703)

摘　　要：利用线性算子半群理论,研究了板几何中具抽象边界条件的各向异性、连续能量、非均匀介质的迁移方程.在假设边界算子H部分光滑和扰动算子K正则的条件下,采用豫解方法,得到了该迁移算子A的谱在区域Γ中由至多可数个具有限代数重数的离散本征值组成等结果.In this paper, transport operator equation of anisotropic continuous energy nonhomogeneous with abstract boundary condition in slab geometry is studied. Supposing that the H is partly smooth and K is regular, the spectrum of the transport operator A consists of, at most, isolated eigenvalues with finite algebraic multiplicities in the trip F is obtained. The main method relies on theory of semigroups of linear operators and solution method.

关 键 词：迁移算子 抽象边界条件 非均匀 部分光滑算子 离散本征值 

分 类 号：O177.2[理学—数学]