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一类带抽象边界条件的迁移算子的谱 被引量:4

The Spectrum of a Transport Operator with Abstract Boundary Conditions
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摘要 在L_p(1≤p<+∞)空间中,研究了板几何中一类带抽象边界条件的各向异性、连续能量、均匀介质的迁移方程,利用豫解算子方法,得到了该迁移算子的谱在区域T_ε中仅由有限个具有限代数重数的离散本征值组成. The objective of this paper is to research transport equations with anisotropic continuous energy homogeneous slab geometry for abstract boundary conditions in L_p(1≤p<+∝) space.By resolvent operator approach,it is to obtain that the spectrum of the transport operator only consist of finitely many isolate eigenvalues which have a finite algebraic multiplicity in the trip(?)_ε.
机构地区 上饶师范学院
出处 《应用泛函分析学报》 CSCD 2013年第2期109-117,共9页 Acta Analysis Functionalis Applicata
基金 江西省自然科学基金资助课题(20132BAB201002) 江西省教育厅科技项目(GJJ13706)
关键词 迁移方程 抽象边界条件 部分光滑算子 谱分析 transport equation abstract boundary condition partly smooth operator spectral analysis
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参考文献8

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二级参考文献15

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