带Maxwell边界条件的定态迁移方程的临界本征值

Critical Eigenvalue for the Steady-State Transport Equation with Maxwell Boundary Condition

摘要: 在Ｌ１空间中证明了带Ｍａｘｗｅｌ积分型边界条件的定态球介质迁移方程临界本征值的存在性，并且给出了临界本征值的一系列分析性质。

Abstract: The existence of the critical eigenvalue for the steady-state spherical transport equation with Maxwell boundary condition of integral type is proved in L 1 space,furthermore,a series of analytical properties of the critical eigenvalue are given.