CAJ | 학술논문

利用线性算子半群理论，研究了板几何中具抽象边界条件的各向异性、连续能量、非均匀介质的迁移方程。在假设边界算子 H 部分光滑和扰动算子 K 正则的条件下，采用豫解方法，得到了该迁移算子 A 的谱在区域Γ中由至多可数个具有限代数重数的离散本征值组成等结果。
이용선성산자반군이론，연구료판궤하중구추상변계조건적각향이성、련속능량、비균균개질적천이방정。재가설변계산자 H 부분광활화우동산자 K 정칙적조건하，채용예해방법，득도료해천이산자 A 적보재구역Γ중유지다가수개구유한대수중수적리산본정치조성등결과。
In this paper, transport operator equation of anisotropic continuous energy nonhomogeneous with abstract boundary condition in slab geometry is studied. Supposing that the H is partly smooth and K is regular, the spectrum of the transport operator A consists of, at most, isolated eigenvalues with finite algebraic multiplicities in the tripΓis obtained. The main method relies on theory of semigroups of linear operators and solution method.