测度空间上平板几何多速中子迁移方程  

The multi-velocity neutron transport equation with a slab geometry in spaces of measures

作　　者：肖成河[1] 隋如彬[1] 李允[1] 张宏伟[2] 

机构地区：[1]哈尔滨商业大学基础部,黑龙江哈尔滨150076 [2]郑州工程学院基础部,河南郑州450052

出　　处：《黑龙江大学自然科学学报》2002年第3期20-22,共3页Journal of Natural Science of Heilongjiang University

摘　　要：在测度空间上,通过对伴随算子进行限制,且把迁移算子A规定为一个在正则波列尔测度的巴拿赫空间M[Q]内变换的算子,以此为工具研究了平板几何中子迁移方程的适定性;并利用对偶半群理论,对向量迁移方程在任何初始条件No∈D（A）下解在M内的唯一性进行讨论,进而检验算子的谱性质。The authors proved the well - poseness of the multi - velocity neutron transport equation with a slab geometry by means of the restriction of the adjoint operator and definded transport operator A as an operator acting in a Banach space M[Q] of regular Borel measures in spaces of measures, and discussed uniqueness of solution in M ?as to the vector transport equation and any initial condition N0D (A) so as to examine the spectral properties of the operator with application of the dual semigroup theory.

关 键 词：测度空间 平板几何多速中子迁移方程 适定性 谱 伴随算子 对偶半群理论 迁移算子 BANACH空间 

分 类 号：O175.7[理学—数学]