Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2004, Volume 318, Pages 120–134 (Mi znsl665)  
This article is cited in 6 scientific papers (total in 6 papers)

On global behavior of solutions to an inverse problem for semi-linear hyperbolic equations

A. Edena, V. K. Kalantarovb

a Bogazici University
b Koç University
Full-text PDF (197 kB) Citations (6)
References:
PDF
HTML
Abstract: This paper is concerned with global in time behavior of solutions for a semi-linear hyperbolic inverse source problem. We prove two types of results, the first is a global nonexistence result for smooth solutions when the data is chosen appropriately. The second type of result is on asymptotic stability of solutions when the integral constraint vanishes as $t$ goes to infinity.
Received: 12.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 2, Pages 3718–3727
DOI: https://doi.org/10.1007/s10958-006-0195-6
Bibliographic databases:
UDC: 517
Language: English
Citation: A. Eden, V. K. Kalantarov, “On global behavior of solutions to an inverse problem for semi-linear hyperbolic equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 36, Zap. Nauchn. Sem. POMI, 318, POMI, St. Petersburg, 2004, 120–134; J. Math. Sci. (N. Y.), 136:2 (2006), 3718–3727
Citation in format AMSBIB
\Bibitem{EdeKal04}
\by A.~Eden, V.~K.~Kalantarov
\paper On global behavior of solutions to an inverse problem for semi-linear hyperbolic equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 318
\pages 120--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120235}
\zmath{https://zbmath.org/?q=an:1068.35184}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 2
\pages 3718--3727
\crossref{https://doi.org/10.1007/s10958-006-0195-6}
Linking options:
  • https://www.mathnet.ru/eng/znsl665
  • https://www.mathnet.ru/eng/znsl/v318/p120
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:251
    Full-text PDF :85
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024