Mathematical notes of NEFU
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


Mathematical notes of NEFU:
Year:
Volume:
Issue:
Page:
Find




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

Mathematical notes of NEFU, 2016, Volume 23, Issue 4, Pages 31–45 (Mi svfu37)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Inverse problems of recovering the right-hand side of a special type of parabolic equations

A. I. Kozhanovab

a Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
b Novosibirsk State University, 2 Pirogov Street, 2, Novosibirsk 630090, Russia
Full-text PDF (278 kB) Citations (1)
References:
PDF
HTML
Abstract: We study the solvability of new inverse problems of finding a solution of some parabolic equation along with the unknown external source (the right-hand side) of a special type. The existence and uniqueness theorems for regular solutions are proved. The considered problems can be treated as generalizations known in the theory of parabolic equations inverse problems with final and integral overdetermination.
Keywords: parabolic equation, linear inverse problem, final or integral overdetermination, unknown coefficient of a special type, existence, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582
Received: 15.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, “Inverse problems of recovering the right-hand side of a special type of parabolic equations”, Mathematical notes of NEFU, 23:4 (2016), 31–45
Citation in format AMSBIB
\Bibitem{Koz16}
\by A.~I.~Kozhanov
\paper Inverse problems of recovering the right-hand side of a special type of parabolic equations
\jour Mathematical notes of NEFU
\yr 2016
\vol 23
\issue 4
\pages 31--45
\mathnet{http://mi.mathnet.ru/svfu37}
\elib{https://elibrary.ru/item.asp?id=29959200}
Linking options:
  • https://www.mathnet.ru/eng/svfu37
  • https://www.mathnet.ru/eng/svfu/v23/i4/p31
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Mathematical notes of NEFU
    Statistics & downloads:
    Abstract page:319
    Full-text PDF :139
    References:52
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024