Functional analytic treatment of the transport equation

DOI10.1080/00411457608230831zbMath0348.45018OpenAlexW2038948883MaRDI QIDQ4118301

William Greenberg, Paul F. Zweifel

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00411457608230831

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

Related Items

Spectral analysis of the multigroup transport operator ⋮ Uniqueness of solutions to the linearized Boltzmann equation ⋮ Elementary solutions of the linear transport equation for continuously varying spatial media ⋮ Resolvent integration techniques for generalized transport equations ⋮ Transport theory in \(L_ p\)-spaces ⋮ Generalized kinetic equations

Cites Work

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• Elementary solutions of the transport equation and their applications
• Plasma oscillations
• A note on the iteration of the Chandrasekhar nonlinear H-equation
• Multigroup neutron transport with degenerate kernel
• Extension of the Case formulas to L p. Application to half and full space problems
• Explicit Matrix Wiener–Hopf Factorizations
• Wiener-Hopf factorizations
• A norm estimate for an integral operator
• Analytic continuation of the Wiener-Hopf factorization matrices arising in transport theory
• The Case eigenfunction expansion for a conservative medium
• Solution of neutron transport problems inL1
• A Pontrjagin space analysis of the supercritical transport equation
• On the solution of nonlinear matrix integral equations in transport theory
• Linear analysis and solution of neutron transport problems
• Decompositions of a Hilbert Space and Factorization of a W–A Determinant
• A functional‐analytic derivation of case's full and half‐range formulas