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Differentsial'nye Uravneniya, 2000, Volume 36, Number 6, Pages 848–851 (Mi de10994)  

This article is cited in 19 scientific papers (total in 19 papers)

Short Communications

Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary

I. V. Prokhorov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Received: 17.02.2000
English version:
Differential Equations, 2000, Volume 36, Issue 6, Pages 943–948
DOI: https://doi.org/10.1007/BF02754423
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.71
Language: Russian
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
Citation in format AMSBIB
\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:
    1. 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  crossref
    2. I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90  mathnet  crossref  crossref  mathscinet  isi  elib
    3. I. V. Prokhorov, A. A. Suschenko, “Zadacha Koshi dlya uravneniya perenosa izlucheniya v neogranichennoi srede”, Dalnevost. matem. zhurn., 18:1 (2018), 101–111  mathnet
    4. 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  mathnet  crossref  crossref  isi  elib
    5. Andrey Amosov, “Nonstationary radiation transfer through a multilayered medium with reflection and refraction conditions”, Math Methods in App Sciences, 41:17 (2018), 8115  crossref
    6. 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  crossref
    7. 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  mathnet  crossref  crossref  mathscinet  elib
    8. 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  crossref
    9. 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  crossref
    10. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    11. A. A. Amosov, Trends in Mathematics, Current Trends in Analysis and Its Applications, 2015, 625  crossref
    12. A. A. Amosov, “Boundary Value Problem for the Radiation Transfer Equation with Diffuse Reflection and Refraction Conditions”, J Math Sci, 193:2 (2013), 151  crossref
    13. I. V. Prokhorov, V. M. Mun, “Kraevaya zadacha dlya uravneniya perenosa amplitudno-modulirovannogo izlucheniya”, Dalnevost. matem. zhurn., 9:1-2 (2009), 150–160  mathnet  elib
    14. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. I. V. Prokhorov, I. P. Yarovenko, “Chislennoe reshenie difraktsionnykh zadach dlya uravneniya perenosa izlucheniya”, Sib. elektron. matem. izv., 2 (2005), 88–101  mathnet  mathscinet  zmath
    16. 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  crossref
    17. 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  mathnet  mathscinet  zmath
    18. 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  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. I. V. Prokhorov, “Reconstruction of the interface between media on the ground of tomography data”, Comput. Math. Math. Phys., 42:10 (2002), 1482–1494  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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