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板几何中一类具各向异性的迁移算子的谱 被引量:2

The Spectrum of Transport Operator with Anisotropic in Slab Geometry
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摘要 本文研究了板几何中一类具各向异性、单能、均匀介质迁移算子A的谱,得出了该算子A在带域Pas(A)中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。 The objective of this paper is to research the spectrum of transpert operator A with anisotropic, monoenergy and homogeneous in slab geometry. It obtains that the transport operator A has no complex eigenvalues, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas(A).
出处 《上饶师范学院学报》 2007年第6期1-4,共4页 Journal of Shangrao Normal University
基金 江西省自然科学基金资助课题(0311022)
关键词 迁移算子 正定算子 复本征值 实离散本征值 Transport operator positive definite operator complex eigenvalue real discrete eigenvalue
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参考文献7

  • 1王胜华.板模型中一类具连续能量的迁移算子的谱(英文)[J].上饶师专学报,2000,20(3):1-6. 被引量:7
  • 2Lehner, J and Wing. G. M. On the spectrum of an unsymmetric operator arising in the transport theory of neutron[ J]. Comm. Pure.Appl. Math, 1955,8:217 - 234.
  • 3阳名珠 朱广田.各向异性散射裂变的中子迁移算子的谱.中国科学,1981,(1):25-30.
  • 4王胜华,阳名珠.一类积——微分算子的谱[J].数学物理学报(A辑),1991,11(3):308-318. 被引量:7
  • 5庄万.泛函分析讲义(第二卷)[M].北京:科学出版社,1983.
  • 6Voigt J. Spectral properties of the neutron transport Equation[J] .Journal of Mathematical Analysis and Applications ,1995,106:140- 153.
  • 7Ukai S. On the spectrum of the space- independent Boltzmann Operator[J]. Nuclear Energy, A/B, 1965,19: 833- 848.

二级参考文献15

  • 1[1]Lehner J.and Wing G M.On the spectrum of an Unsymmetric Operator aring in the transport theory of neutron[J].Comm.Pure.Appl.Math,1955,(8) :217-234.
  • 2[2]Lehner J.and Wing G M.Solution of the linearized Boltzmann equation for the slab geometry[J].Duke Math.J,1956,(23): 125-142.
  • 3[3]Jorgens K.An asymptotic expansion in the theory of neutron transport[J].Comm.pure.Appl.Math,1965,( 11 ) :219-242.
  • 4[4]Norton R V.On the real spectrum of a monoenergy neutron transport operator[J].Comm.Pure.Appl.Math,1962,(15):149-158.
  • 5[5]Yang Mingzhu & Zhu Guangtian.Spectrum of neutron Transport operator with anisotropic scattering and fission[J].Scintia Sinica,1981,( 1 ): 25-30.
  • 6[6]Yang Mingzhu & Zhu Guangtian.Maxmini Value Principle and Transport Operator[J].Kexue Tongbao (Science Bulleytin),a special issue on Math.phys.Chem,1980,158-161.
  • 7[7]Yao Aixiang & Yang Mingzhu.The index of eigenvalue of the transport operator with in homogeneous convex medium[J].Scienca Sinica.1992,(2): 154-160.
  • 8[8]Yao Aixiang & Yang Mingzhu.The index of eigeavalue of the tronsport operator with inhomogeheous medium in Sphere[J].Acta Math.Scienca ( supple issue),1992.( in Chinese).
  • 9[9]Wang Shenghua,and Yang Mingzhu.The Spectrum of a Integro-differential Operator[J].Acta math Scientia 11.1991,308-318.(in Chinese).
  • 10[10]Wang Shenghua.Stability of Solution of initialvalue problem in Trausport Theory[J].Acta Mathematica Scientia (supple.issue),1992,12-16.(in Chinese).

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