板模型中带周期边界条件的迁移算子的谱分布  

The Spectral Distribution of the Transport Operator with Periodic Boundary Condition in Slab Geometry

作　　者：吴红星[1] 马江山[1] 

机构地区：[1]上饶师范学院,江西上饶334001

出　　处：《上饶师范学院学报》2014年第3期11-15,共5页Journal of Shangrao Normal University

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

摘　　要：在Lp(1≤p<∞)空间中,首先利用线性算子理论讨论了一类带周期边界条件下非均匀介质的迁移方程,其次采用半群等方法证明了迁移算子AH产生C0半群,证明了该半群产生的二阶余项的紧和弱紧性,最后得到了该迁移算子在区域Γ中仅由有限个具有限代数重数的离散本征值所组成。The objective of this paper is to research transport equation with nonhomogeneous with periodic boundary condition in slabgeometry in LP（q L^P〈 p 〈 ∞, ） space. It proves that the transport operator AH generates a Co semigroup and the secondorder re-mained term of the semigroup is compact and weakly compact, and gets the spectra of the transport operator, only, consist of finiteisolated eigenvalues which have a finite algebraic multiplicity in tripF. The paper relies on the theory of operators and semigroupmethods.

关 键 词：迁移方程 周期边界条件 C0半群 紧性 谱分布 

分 类 号：O177.2[理学—数学]