Loading [MathJax]/jax/output/SVG/config.js
Siberian Journal of Pure and Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




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

Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 2, Pages 6–15
DOI: https://doi.org/10.17377/PAM.2016.16.201 (Mi vngu398) 		 
A modified Galerkin method for semilinear parabolic equation with changing time direction

I. E. Egorov, E. S. Efimova

Institute for Mathematics and Informatics, North-Eastern Federal University
Full-text PDF (205 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17377/PAM.2016.16.201
Abstract: In this work, to prove the unique solvability of the first boundary value problem for semilinear parabolic equation of second order with changing time direction a modified Galerkin method is applied and also regularization method is used. For the approximate solutions of the problem error estimate of the modified Galerkin method is set using the regularization parameter and eigenvalue of the spectral Dirichlet problem for the Laplace equation in the space variables.
Keywords: semilinear parabolic equation, boundary value problem, a priori estimate, inequality, error estimate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3047
Received: 20.12.2015
English version:
Journal of Mathematical Sciences, 2018, Volume 228, Issue 4, Pages 372–379
DOI: https://doi.org/10.1007/s10958-017-3628-5
Document Type: Article
UDC: 517.95
Language: Russian
Citation: I. E. Egorov, E. S. Efimova, “A modified Galerkin method for semilinear parabolic equation with changing time direction”, Sib. J. Pure and Appl. Math., 16:2 (2016), 6–15; J. Math. Sci., 228:4 (2018), 372–379
Citation in format AMSBIB
\Bibitem{EgoEfi16}
\by I.~E.~Egorov, E.~S.~Efimova
\paper A modified Galerkin method for semilinear parabolic equation with changing time direction
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 2
\pages 6--15
\mathnet{http://mi.mathnet.ru/vngu398}
\crossref{https://doi.org/10.17377/PAM.2016.16.201}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 228
\issue 4
\pages 372--379
\crossref{https://doi.org/10.1007/s10958-017-3628-5}
Linking options:
  • https://www.mathnet.ru/eng/vngu398
  • https://www.mathnet.ru/eng/vngu/v16/i2/p6
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
    Statistics & downloads:
    Abstract page:4526
    Full-text PDF :69
    References:67
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025