摘要
在L^1空间研究平板几何中具有不完全反射边界条件的迁移方程,证明了迁移方程中的微分算子和积分算子是预解正算子,得到了微分算子的共轭算子及其定义域,最后证明了微分算子共尾.
The objective of this paper is to research transport equations in slab geometry for non-perfect boundary condition in L1. It proves the differential and integral transport operator is a densely defined resolvent positive operator. Then, we obtain the adjoint operator of the system operator and its domain. Finally, we prove that differential transport is cofinal by using relative theory.
出处
《数学的实践与认识》
北大核心
2015年第16期166-171,共6页
Mathematics in Practice and Theory
基金
黑龙江省自然科学基金项目(A201305)
关键词
迁移方程
不完全反射
预解正算子
共轭算子
共尾
transport equations
non-perfect reflecting boundary
resolvent positive operatoradjoint operator
cofinal
