Convolution and H-equations for operator-valued functions with applications to neutron transport theory

DOI10.1063/1.523305zbMath0353.45012OpenAlexW2014377985MaRDI QIDQ4123804

Carl. T. Kelley

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1063/1.523305

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

A fast multi-level method for the fixed point form of matrix H-equations ⋮ A factorization on the semi-infinite interval. I: General theory ⋮ A semilinear boundary value problem ⋮ Operator-valued Chandrasekhar H-functions ⋮ Kinetic equations with collision operators of spectral radius less than one ⋮ Albedo operators and H-equations for generalized kinetic models ⋮ Analytic continuation of an operator-valued H-function with applications to neutron transport theory ⋮ Solution by iteration of H-equations in multigroup neutron transport ⋮ A comparison of iteration schemes for Chandrasekhar H-equations in multigroup neutron transport ⋮ Representations of internal field solutions for generalized kinetic models ⋮ Approximate methods for the solution of the Chandrasekhar H-equation

Cites Work

• Wiener-Hopf factorizations
• A functional‐analytic derivation of case's full and half‐range formulas
• Integral equations on a half-line with kernel depending upon the difference of the arguments