scientific article; zbMATH DE number 7084503

zbMath1416.35176MaRDI QIDQ5224284

I. V. Prokhorov, Andreĭ Andreevich Sushchenko

Publication date: 23 July 2019

Full work available at URL: http://mathnet.ru/eng/dvmg371

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zbMATH Keywords

Cauchy problemradiative transfer equationgeneralized matching conditions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)

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Cites Work

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• Solvability of the initial-boundary value problem for an integrodifferential equation
• Asymptotic solutions of the equations of radiative transfer for an optically thick layer with reflecting boundaries
• Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries
• The asymptotic behavior of a transport equation in cell population dynamics with a null maturation velocity
• Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions
• On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces
• Initial boundary value problem for the radiative transfer equation with diffusion matching conditions
• Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary

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