The spectrum of some abstract kinetic operators in inhomogeneous media with applications

DOI10.1080/00411459008203885zbMath0714.65105OpenAlexW1980824045MaRDI QIDQ3200526

Jianjun Ye, Peng Lei, Rongsheng Liu, Mingzhu Yang

Publication date: 1990

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459008203885

zbMATH Keywords

Hilbert spacespectrumselfadjoint operatorsabstract kinetic operatorisolated real eigenvalueslocation of non-real eigenvalues

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05)

Cites Work

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• Spectral analysis of the transport equation. I. Nondegenerate and multigroup case
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• Polarized light transfer: Existence and uniqueness of solutions and spectral properties of transfer operators
• Scattering theory, orthogonal polynomials, and the transport equation
• On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons