The Cauchy problem for the non-stationary radiative transfer equation with Compton scattering

DOI10.33048/SEMI.2020.17.130zbMath1453.35134OpenAlexW3114069685MaRDI QIDQ2227019

I. P. Yarovenko, I. V. Prokhorov

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.130

zbMATH Keywords

Cauchy problemstrongly continuous semigroupCompton scatteringradiative transfer equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Boltzmann equations (35Q20)

Cites Work

• On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions
• Semigroups of linear operators and applications to partial differential equations
• Transport equation and tomography
• A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation
• Relativistic kinetic equation for induced Compton scattering of polarized radiation
• Compton scattering tomography in translational geometries
• Recovery of singularities for the weighted cone transform appearing in Compton camera imaging
• Initial boundary value problem for the radiative transfer equation with diffusion matching conditions
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