Stability of the Essential Spectrum for Singular Transport Semigroups with Periodic Boundary Conditions

DOI10.1080/00411450.2014.886592zbMath1302.82103OpenAlexW2154164379MaRDI QIDQ2921215

Junguo Jia, Peng Zhao, Mengmeng Xu

Publication date: 7 October 2014

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

Full work available at URL: https://doi.org/10.1080/00411450.2014.886592

zbMATH Keywords

essential spectrum\(C_{0}\)-semigroupDyson-Phillips expansionsingular transport equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

• Unnamed Item
• Unnamed Item
• Positivity and stability of the essential spectrum for singular transport semigroups with non-vacuum boundary conditions
• A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
• Compact operators in Banach lattices
• On resolvent positive operators and positive \(C_ 0\)-semigroups on AL- spaces
• Spectral properties of a streaming operator with diffuse reflection boundary condition
• Singular one-dimensional transport equations on \(L_{p}\) spaces.
• On the spectral mapping theorem for perturbed strongly continuous semigroups
• Optimal spectral theory of the linear Boltzmann equation
• Critical spectrum and spectral mapping theorems in transport theory
• Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry
• SPECTRAL PROPERTIES OF TRANSPORT EQUATIONS FOR SLAB GEOMETRY IN L¹WITH REENTRY BOUNDARY CONDITIONS
• On singular mono-energetic transport equations in slab geometry
• Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions

This page was built for publication: Stability of the Essential Spectrum for Singular Transport Semigroups with Periodic Boundary Conditions