Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Sbornik, 1985, Volume 52, Issue 2, Pages 315–329
DOI: https://doi.org/10.1070/SM1985v052n02ABEH002893 (Mi sm2055) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Ray asymptotics of the Green function for the heat equation with a small parameter

G. A. Nesenenko, Yu. N. Tyurin
English version PDF (606 kB) Citations (9) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1985v052n02ABEH002893
Abstract: A complete asymptotic expansion in a small parameter is found for the Green function.
Bibliography. 4 titles.
Received: 17.11.1982 and 11.10.1983
Bibliographic databases:
UDC: 517.95
MSC: Primary 35K05, 35B40; Secondary 35K20
Language: English
Original paper language: Russian
Citation: G. A. Nesenenko, Yu. N. Tyurin, “Ray asymptotics of the Green function for the heat equation with a small parameter”, Math. USSR-Sb., 52:2 (1985), 315–329
Citation in format AMSBIB
\Bibitem{NesTyu84}
\by G.~A.~Nesenenko, Yu.~N.~Tyurin
\paper Ray asymptotics of the Green function for the heat equation with a~small parameter
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 2
\pages 315--329
\mathnet{http://mi.mathnet.ru/eng/sm2055}
\crossref{https://doi.org/10.1070/SM1985v052n02ABEH002893}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=752224}
\zmath{https://zbmath.org/?q=an:0599.35078}
Linking options:
  • https://www.mathnet.ru/eng/sm2055
  • https://doi.org/10.1070/SM1985v052n02ABEH002893
  • https://www.mathnet.ru/eng/sm/v166/i3/p320
    • This publication is cited in the following 9 articles:
    1. Anosov A.A., Akimov A.I., Guzairov G.M., Rakityanskii A.S., “Chislennaya realizatsiya algoritma, osnovannogo na metode teplovykh potentsialov, primenitelno k singulyarno vozmuschennym zadacham teploprovodnosti”, Inzhenernaya fizika, 2009, no. 9, 3–7  elib
    2. Kotovich A.V., Nesenenko G.A., “Study of the Thermal Resonance in Multidimensional Irregular Thermal Fields That Is Initiated by the Nonlinear Boundary Conditions”, Heat Transf. Res., 37:2 (2006), 135–148  crossref  isi  elib
    3. Frolovitchev S., “Multiplicative Asymptotics of Solutions of the First Boundary Value Problem on a Half-Axis for a Parabolic Equation with a Small Parameter”, Math. Ann., 332:3 (2005), 533–563  crossref  mathscinet  zmath  isi  elib
    4. Nesenenko G.A., “Application of the “Geometrical-Optical” Asymptotic Method for Accounting the Impacts of a Complex-Shape Boundary of the Random Region on Multidimensional Nonlinear Irregular Thermal Fields”, Heat Transf. Res., 36:8 (2005), 641–653  crossref  isi  elib
    5. Frolovichev S., “Exponential Asymptotics of the Solution of the Second Boundary Value Problem for a Second-Order Parabolic Equation with a Small Parameter”, Differ. Equ., 39:6 (2003), 853–864  mathnet  crossref  mathscinet  zmath  isi
    6. Frolovichev S., “An Analog of Andre's Reflection Principle for Diffusion Processes with a Small Parameter”, Differ. Equ., 37:6 (2001), 839–848  mathnet  crossref  mathscinet  zmath  isi
    7. V. M. Khametov, “Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion”, Math. Notes, 68:6 (2000), 775–789  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    8. Nesenenko G., “The Method of Boundary Integral Equations for Two-Dimensional Singularly Perturbed Nonstationary Heat Problems with Nonlinear Boundary Conditions”, Differ. Equ., 36:9 (2000), 1284–1295  mathnet  crossref  mathscinet  zmath  isi
    9. Nesenenko G., “Boundary-Layer of the Heat-Equation in Several-Variables with Nonlinear Boundary-Condition as a Power-Type Function”, Z. Angew. Math. Mech., 69:1 (1989), 51–52  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:472
    Russian version PDF:123
    English version PDF:26
    References:95
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025