一类具抽象边界条件的迁移算子的谱分布The spectrum distribution of a transport operator with abstract boundary condition
吴红星;王胜华;袁邓彬;
摘要(Abstract):
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.
关键词(KeyWords): 迁移算子;抽象边界条件;非均匀;部分光滑算子;离散本征值
基金项目(Foundation): 江西省自然科学基金(20132BAB201002);; 江西省教育厅科技项目(GJJ13706,GJJ13703)
作者(Authors): 吴红星;王胜华;袁邓彬;
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