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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1152–1162 (Mi smj1028)  
This article is cited in 2 scientific papers (total in 2 papers)

A stability estimate for a solution to the wave equation with the Cauchy data on a timelike cylindrical surface

V. G. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (198 kB) Citations (2)
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Abstract: We consider the linear wave equation in a domain of the $x$, $t$-space bounded from above and below by some smooth surfaces and from the sides by a cylindrical surface with generator parallel to the $t$-axis. We study the Cauchy problem for this equation with data on a piece of the timelike cylindrical surface and establish a stability estimate for a solution to the problem.
Keywords: Cauchy problem, stability, uniqueness.
Received: 02.03.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 5, Pages 925–934
DOI: https://doi.org/10.1007/s11202-005-0089-8
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: V. G. Romanov, “A stability estimate for a solution to the wave equation with the Cauchy data on a timelike cylindrical surface”, Sibirsk. Mat. Zh., 46:5 (2005), 1152–1162; Siberian Math. J., 46:5 (2005), 925–934
Citation in format AMSBIB
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\by V.~G.~Romanov
\paper A stability estimate for a~solution to the wave equation with the Cauchy data on a~timelike cylindrical surface
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 5
\pages 1152--1162
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\zmath{https://zbmath.org/?q=an:1114.35115}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 5
\pages 925--934
\crossref{https://doi.org/10.1007/s11202-005-0089-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232564500014}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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