On singular mono-energetic transport equations in slab geometry

DOI10.1002/mma.330zbMath1021.47051OpenAlexW1979223300MaRDI QIDQ4785021

Khalid Latrach, Mohamed Chabi

Publication date: 17 December 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.330

zbMATH Keywords

initial-boundary value problemDyson-Phillips expansiontransport semigroup\(AL\)-spacesMiyadera perturbation theory of positive semigroupstransport equations with singular cross-sectionstransport of particles in a slab

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Transport processes in time-dependent statistical mechanics (82C70) Initial value problems for linear first-order PDEs (35F10)

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Cites Work

• One-parameter semigroups of positive operators
• Boundary value problems in abstract kinetic theory
• On a System of Integro-Differential Equations