摘要
应用算子理论证明了迁移理论中出现的一类具广义反射边界条件及各向同性连续能量非均匀球对称模型下粒子迁移方程正解的存在唯一性,分析了由迁移方程所决定的迁移算子的谱,得到了离散本征值存在的充分条件以及具物理意义的占优本征值关于广义反射系数的单调性。
In this paper, we use the operator theory to prove the existence and uniqueness of the positive solution of partical transport equation, which is isotropic non-homogeneous spherically symmetric with continuous energy and generalized boundary condition arising in the transport theory. The spectrum of the transport operator is investigated and the sufficient conditions of the existence of the isolated eigenvalue are found. The dominate eigenvalue is proved to be monotonous with the general reflective function.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1989年第5期9-19,共11页
Journal of Southeast University：Natural Science Edition
关键词
迁移算子
本质谱
占优本征值
transport operator/essential spectrum, dominate eigenvalue.
