Hongxing Wu, Shenghua Wang, Dengbin Yuan, "The Spectrum Distribution of Transport Operator with Abstract Boundary Conditions in Slab Geometry," WSEAS Transactions on Mathematics, vol. 15, pp. 136-145, 2016, DOI:
Hongxing Wu, Shenghua Wang, Dengbin Yuan. The Spectrum Distribution of Transport Operator with Abstract Boundary Conditions in Slab Geometry.
WSEAS Transactions on Mathematics. 2016;15:136-145.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
The Spectrum Distribution of Transport Operator with Abstract Boundary Conditions in Slab Geometry
Authors: , ,
Abstract: n this paper, transport equation with continuous energy, nonhomogeneous medium and abstract boundary conditions is studied in slab geometry. It is to prove that |Imλ| ∥ K(λI − BH)−1K ∥ (|Imλ| → +∞) is bounded in the trip Γε, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with a finite algebraic multiplicities in trip Γε. The main methods rely on operators theory, resolvent operators and comparison operators approach.
Pages: 136-145 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #13 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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