On the structure of the continuity set of the solution to a boundary-value problem for the radiation transfer equation

DOI10.1134/S0001434609070256zbMath1178.35282OpenAlexW2158227215MaRDI QIDQ736230

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609070256

zbMATH Keywords

boundary-value problem diffuse reflection conjugation operator radiation transfer equation Snell's law Fresnel reflection index of refraction reflection indicatrix

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Continuation and prolongation of solutions to PDEs (35B60) Boltzmann equations (35Q20)

Related Items (10)

Unnamed Item ⋮ Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions ⋮ Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries ⋮ Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions ⋮ The cauchy problem for the radiative transfer equation with generalized conjugation conditions ⋮ Solvability of the initial-boundary value problem for an integrodifferential equation ⋮ On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions ⋮ The Cauchy problem for the radiation transfer equation with Fresnel and Lambert matching conditions ⋮ Initial-boundary value problem for a radiative transfer equation with generalized matching conditions ⋮ Initial boundary value problem for the radiative transfer equation with diffusion matching conditions

Cites Work

This page was built for publication: On the structure of the continuity set of the solution to a boundary-value problem for the radiation transfer equation