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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)
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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}
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  • 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
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