Positivity and stability of the essential spectrum for singular transport semigroups with non-vacuum boundary conditions

DOI10.1016/j.jmaa.2010.08.067zbMath1203.35075OpenAlexW2085873235MaRDI QIDQ601330

Hatem Megdiche

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.067

zbMATH Keywords

positive operatorsslab geometry\(C_{0}\)-semigroupsDyson-Phillips expansionsingular transport operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for linear first-order PDEs (35F10)

Related Items (1)

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

Cites Work

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• Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry
• On linear kinetic equations involving unbounded cross-sections
• On singular mono-energetic transport equations in slab geometry
• Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions

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