Extension of the Case formulas to L p. Application to half and full space problems

DOI10.1063/1.522641zbMath0311.47025OpenAlexW2074572048MaRDI QIDQ4069326

Selim Sancaktar, Edward W. Larsen, Paul F. Zweifel

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522641

Mathematics Subject Classification ID

(Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Completeness theorems in transport theory, Application of the closure relation in transport theory, A note on the singular eigenfunction method 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, Transport theory revisited - 1960–1995 (A case history), Ivan Kuščer, Orthogonality and All That, Ivan Kuščer, Orthogonality and All That, Uniqueness of solutions to the linearized Boltzmann equation, Constructive solution of the linearized Boltzmann equation: Vector BGK model, Constructive solution of the linearized Boltzmann equation. Scalar BGK model equation, Elementary solutions of the linear transport equation for continuously varying spatial media, On the singular eigenfunctions for linear transport in an exponential atmosphere, Resolvent integration techniques for generalized transport equations, Transport theory in \(L_ p\)-spaces, On a singular integral equation arising in the F_Nmethod

Cites Work

• Elementary solutions of the transport equation and their applications
• A functional‐analytic approach to the steady, one‐speed neutron transport equation with anisotropic scattering
• Invariant Imbedding and Case Eigenfunctions
• A functional‐analytic derivation of case's full and half‐range formulas