On a nonlinear stationary problem arising in transport theory

DOI10.1063/1.531440zbMath0869.45009OpenAlexW2080882733MaRDI QIDQ5284315

Khalid Latrach

Publication date: 15 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531440

zbMATH Keywords

compactnessresolvent operatorLipschitz conditionSchauder fixed point theoremcollision frequencyNemytskii operatorHammerstein operatorscattering kernelCarathéodory conditionstationary transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

• Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry
• Method of Successive Approximations for Nonlinear Stationary Transport Equations
• Compactness properties for linear transport operators with abstract boundary conditions in slab geometry
• On the radial projection in normed spaces
• Neutron Transport in a Nonuniform Slab with Generalized Boundary Conditions
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons