Resolvent integration techniques for generalized transport equations

DOI10.1063/1.524160zbMath0453.47034OpenAlexW2025228562MaRDI QIDQ3900558

Robert L. Bowden, William Greenberg, Paul F. Zweifel

Publication date: 1979

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

Full work available at URL: http://hdl.handle.net/10919/47079

zbMATH Keywords

transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Functional calculus for linear operators (47A60) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (1)

Radiative transfer in spectral lines by noncoherent scattering. II. Anisotropic scattering medium

Cites Work

• Constructive solution of the linearized Boltzmann equation. Scalar BGK model equation
• Scattering theory, orthogonal polynomials, and the transport equation
• Extension of the Case formulas to L p. Application to half and full space problems
• Wiener-Hopf factorizations
• Analytic continuation of the Wiener-Hopf factorization matrices arising in transport theory
• The Case eigenfunction expansion for a conservative medium
• Functional analytic treatment of the transport equation
• Solution of the multigroup transport equation in L p spaces
• Decompositions of a Hilbert Space and Factorization of a W–A Determinant
• A functional‐analytic derivation of case's full and half‐range formulas

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