Citation:
I. V. Prokhorov, “Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary”, Differ. Uravn., 36:6 (2000), 848–851; Differ. Equ., 36:6 (2000), 943–948
\Bibitem{Pro00}
\by I.~V.~Prokhorov
\paper Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary
\jour Differ. Uravn.
\yr 2000
\vol 36
\issue 6
\pages 848--851
\mathnet{http://mi.mathnet.ru/de10994}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819475}
\transl
\jour Differ. Equ.
\yr 2000
\vol 36
\issue 6
\pages 943--948
\crossref{https://doi.org/10.1007/BF02754423}
Linking options:
https://www.mathnet.ru/eng/de10994
https://www.mathnet.ru/eng/de/v36/i6/p848
This publication is cited in the following 19 articles:
Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, “Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions”, Journal of Mathematical Analysis and Applications, 507:1 (2022), 125745
I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90
I. V. Prokhorov, A. A. Suschenko, “Zadacha Koshi dlya uravneniya perenosa izlucheniya v neogranichennoi srede”, Dalnevost. matem. zhurn., 18:1 (2018), 101–111
A. Kim, I. V. Prokhorov, “Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions”, Comput. Math. Math. Phys., 58:5 (2018), 735–749
Andrey Amosov, “Nonstationary radiation transfer through a multilayered medium with reflection and refraction conditions”, Math Methods in App Sciences, 41:17 (2018), 8115
A. A. Amosov, “Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions”, J Math Sci, 231:3 (2018), 279
I. V. Prokhorov, A. A. Sushchenko, A. Kim, “An initial boundary value problem for the radiative transfer equation with diffusion matching conditions”, J. Appl. Industr. Math., 11:1 (2017), 115–124
Andrey Amosov, Michael Shumarov, “Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions”, Applicable Analysis, 95:7 (2016), 1581
A. A. Amosov, “Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries”, J Math Sci, 219:6 (2016), 821
I. V. Prokhorov, A. A. Sushchenko, “On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions”, Siberian Math. J., 56:4 (2015), 736–745
A. A. Amosov, Trends in Mathematics, Current Trends in Analysis and Its Applications, 2015, 625
A. A. Amosov, “Boundary Value Problem for the Radiation Transfer Equation with Diffuse Reflection and Refraction Conditions”, J Math Sci, 193:2 (2013), 151
I. V. Prokhorov, V. M. Mun, “Kraevaya zadacha dlya uravneniya perenosa amplitudno-modulirovannogo izlucheniya”, Dalnevost. matem. zhurn., 9:1-2 (2009), 150–160
I. V. Prokhorov, “On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation”, Math. Notes, 86:2 (2009), 234–248
I. V. Prokhorov, I. P. Yarovenko, “Chislennoe reshenie difraktsionnykh zadach dlya uravneniya perenosa izlucheniya”, Sib. elektron. matem. izv., 2 (2005), 88–101
I. V Prokhorov, I. P. Yarovenko, T. V. Krasnikova, “An extremum problem for the radiation transfer equation”, Journal of Inverse and Ill-posed Problems, 13:4 (2005), 365
I. V. Prokhorov, I. P. Yarovenko, “Kraevaya zadacha teorii perenosa v mnogosloinoi srede s obobschennymi usloviyami sopryazheniya”, Sib. zhurn. industr. matem., 6:1 (2003), 93–107
I. V. Prokhorov, “On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces”, Izv. Math., 67:6 (2003), 1243–1266
I. V. Prokhorov, “Reconstruction of the interface between media on the ground of tomography data”, Comput. Math. Math. Phys., 42:10 (2002), 1482–1494