Transport equation on a finite domain. II: Reduction to X- and Y- functions

DOI10.1007/BF01691922zbMath0527.45004MaRDI QIDQ786359

Cornelis V. M. van der Mee

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

singular integral equationsexistencereflectiontransmissionuniquenessboundary value problemself-adjoint operatorradiative transferorthogonal projectionsneutron transportChandrasekhar's X- and Y-functionsdegenerate scattering lawpositive self-adjoint compact perturbationT- invariant subspace

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Radiative transfer in astronomy and astrophysics (85A25)

Cites Work

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• Transport equation on a finite domain. I: Reflection and transmission operators and diagonalization
• Transport theory in \(L_ p\)-spaces
• Linearized BGK and neutron transport equations in finite domains

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