边界函数的凹性及可微性

The Concavity and Differentiability of Boundary Function

本文讨论了中子迁移理论中的边界函数的一些性质。主要证明了对固定的是定义在凸集U上关于的凹函数;并且当U为R^3中的二维微分流形时,关于在intU上是连续可微的。

Some properties of the boundary function S0 ( r ,Ω) in the theory of neutron transportation are discussed in this paper. It is also proved that with fixed is a concave function about r defined on convex set U and S0 ( r ,Ω) abont r defined on int U is continuously differe-ntiable when 0U is two-dimensional differential manifold in R3.