Whither existence theory?

DOI10.1080/00411458508211698zbMath0585.34019OpenAlexW1976927099MaRDI QIDQ3710836

Barton L. Willis, Cornelis V. M. van der Mee, Paul F. Zweifel

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00411458508211698

zbMATH Keywords

kinetic equationsFredholm alternative theorempolarized light transfertime-independent linear transport theory

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Transport processes in time-dependent statistical mechanics (82C70) Boundary value problems for ordinary differential equations (34B99)

Related Items (5)

A class of linear kinetic equations in a Krein space setting ⋮ Abstract kinetic equations with accretive collision operators ⋮ Integral formulations of stationary transport equations in plane-parallel media ⋮ Linear half space transport eqijations with accretive, invertible collision operators ⋮ Stability of stationary transport equations with accretive collision operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized kinetic equations
• Half-range completeness for the Fokker-Planck equation. I
• An abstract treatment of some forward-backward problems of transport and scattering
• N-group neutron transport theory: A criticality problem in slab geometry
• Indefinite Sturm-Liouville problems and half-range completeness
• A generalized transport equation
• Half‐ and finite‐range completeness for the equation of transfer of polarized light
• Albedo operators and H-equations for generalized kinetic models
• Erratum: Partial-range completeness and existence of solutions to two-way diffusion equations [J. Math. Phys. 2 2, 954 (1981)]
• Partial-range completeness and existence of solutions to two-way diffusion equations
• Decompositions of a Hilbert Space and Factorization of a W–A Determinant
• Existence and Uniqueness Theorems for the Neutron Transport Equation

This page was built for publication: Whither existence theory?