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, 2017, Volume 17, Issue 3, Pages 67–85
DOI: https://doi.org/10.17377/PAM.2017.17.7 (Mi vngu448) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces

A. I. Prilepkoa, A. B. Kostinb, V. V. Solov'evb

a Lomonosov Moscow State University, 1, Leninskie Gory, 119992 Moscow, Russia
b National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31, Kashirskoe shosse, 115409 Moscow, Russia
Full-text PDF (215 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.17377/PAM.2017.17.7
Abstract: We give a review of some results obtained during the last fifteen years. This results includes the theorems of existence and uniqueness of the solution of linear and nonlinear inverse problems of reconstruction of unknown coefficients in elliptic and parabolic equations.
Keywords: inverse coefficients problems, elliptic equations, parabolic equations, final observation, nonlocal observation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.а03.21.0005
The work of the second and third authors is partially supported by the Program of competitiveness increase of the National Research Nuclear University MEPhI (Moscow Engineering Physics Institute); contract No 02.a03.21.0005 on 27.08.2013.
Received: 05.12.2016
English version:
Journal of Mathematical Sciences, 2019, Volume 237, Issue 4, Pages 576–594
DOI: https://doi.org/10.1007/s10958-019-04184-2
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Prilepko, A. B. Kostin, V. V. Solov'ev, “Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces”, Sib. J. Pure and Appl. Math., 17:3 (2017), 67–85; J. Math. Sci., 237:4 (2019), 576–594
Citation in format AMSBIB
\Bibitem{PriKosSol17}
\by A.~I.~Prilepko, A.~B.~Kostin, V.~V.~Solov'ev
\paper Inverse source and inverse coefficients problems for elliptic and parabolic equations in H\"older and Sobolev spaces
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 3
\pages 67--85
\mathnet{http://mi.mathnet.ru/vngu448}
\crossref{https://doi.org/10.17377/PAM.2017.17.7}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 4
\pages 576--594
\crossref{https://doi.org/10.1007/s10958-019-04184-2}
Linking options:
  • https://www.mathnet.ru/eng/vngu448
  • https://www.mathnet.ru/eng/vngu/v17/i3/p67
    • This publication is cited in the following 12 articles:
    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:414
    Full-text PDF :201
    References:44
    First page:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024