具有广义边界条件的迁移方程的性质  

Properties of Transport Equation with Generalized Boundary Conditions

作　　者：马妍[1] 李惟[2] 张欣[3] 王辉[2] 

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157011 [2]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025 [3]北京联合大学基础部,北京100101

出　　处：《数学的实践与认识》2016年第15期269-273,共5页Mathematics in Practice and Theory

基　　金：牡丹江市社科联社会科学课题项目(150830);牡丹江师范学院科研项目青年项目(QN201606)

摘　　要：研究迁移理论中一类具有广义周期边界条件,非均匀介质板几何的定态迁移方程,证明了迁移算子是预解正算子,得到了微分算子的共轭算子及共轭算子的定义域.证明了迁移算子的共轭算子定义域的正锥在共轭空间的正锥中共尾.最后证明了迁移算子的增长界等于其谱界.This paper researched transport equations in slab geometry with inhomogeneons general periodic boundary conditions.We proved that transport operator is resolvent positive operator,obtained the adjoint operator of the differential operator and its domain.Then it was proved that the positive cone of domain of transport operator’s adjoint operator is cofinal in positive cone of conjugate space.Finally,we got that the spectral bound of transport operator equals to its growth bound.

关 键 词：迁移算子 广义周期边界条件 预解正算子 共尾 

分 类 号：O175[理学—数学]