In this paper we investigate the asymptotic spectrum and accumulation of a transport operator A in slab geometry with continuous energy, anisotropic scattering and inhomogeneous medium. In L^p （1 ≤ p 〈 ＋∞） space...In this paper we investigate the asymptotic spectrum and accumulation of a transport operator A in slab geometry with continuous energy, anisotropic scattering and inhomogeneous medium. In L^p （1 ≤ p 〈 ＋∞） space we show a series of new results for the asymptotic point spectrum and accumulation of A.展开更多
In this article,we investigate the spectral properties of a class of neutron transport operators involving elastic and inelastic collision operators introduced by Larsen and Zweifel[1].Our analysis is manly focused on...In this article,we investigate the spectral properties of a class of neutron transport operators involving elastic and inelastic collision operators introduced by Larsen and Zweifel[1].Our analysis is manly focused on the description of the asymptotic spectrum which is very useful in the study of the properties of the solution to Cauchy problem governed by such operators(when it exists).The last section of this work is devoted to the properties of the leading eigenvalue(when it exists).So,we discuss the irreducibility of the semigroups generated by these operators.We close this section by discussing the strict monotonicity of the leading eigenvalue with respect to the parameters of the operator.展开更多
The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - ...The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - B, investigate the spectrumof A, especially obtain the essential spectrum and the asymptotic point spectrum in L1space which is the most natural space for the transport theory.展开更多
基金Foundation item： Zhejiang Provincial Natural Science Foundation （102002） of China.
文摘In this paper we investigate the asymptotic spectrum and accumulation of a transport operator A in slab geometry with continuous energy, anisotropic scattering and inhomogeneous medium. In L^p （1 ≤ p 〈 ＋∞） space we show a series of new results for the asymptotic point spectrum and accumulation of A.
文摘In this article,we investigate the spectral properties of a class of neutron transport operators involving elastic and inelastic collision operators introduced by Larsen and Zweifel[1].Our analysis is manly focused on the description of the asymptotic spectrum which is very useful in the study of the properties of the solution to Cauchy problem governed by such operators(when it exists).The last section of this work is devoted to the properties of the leading eigenvalue(when it exists).So,we discuss the irreducibility of the semigroups generated by these operators.We close this section by discussing the strict monotonicity of the leading eigenvalue with respect to the parameters of the operator.
文摘The spectrum of the transport operator A in a nonhomogeneous slab withcontinuous energy is discussed in consideration of anisotropic scattering and fission. Weshow the relative compactness of the perturbation K = A - B, investigate the spectrumof A, especially obtain the essential spectrum and the asymptotic point spectrum in L1space which is the most natural space for the transport theory.
