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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 33–38 (Mi znsl1550)  
On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity

A. S. Blagoveshchenskii, A. A. Novitskaya

Saint-Petersburg State University
Full-text PDF (138 kB)
Abstract: We prove an asymptotic formula for a Cauchy problem for the wave equation for a point $(x,t)$ moving to infinity in a characteristic direction. Initial data are generalized functions with a compact support.
Received: 20.12.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 5, Pages 3470–3472
DOI: https://doi.org/10.1023/B:JOTH.0000034025.30825.91
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. S. Blagoveshchenskii, A. A. Novitskaya, “On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 33–38; J. Math. Sci. (N. Y.), 122:5 (2004), 3470–3472
Citation in format AMSBIB
\Bibitem{BlaNov02}
\by A.~S.~Blagoveshchenskii, A.~A.~Novitskaya
\paper On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity
\inbook Mathematical problems in the theory of wave propagation. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 285
\pages 33--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1550}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911109}
\zmath{https://zbmath.org/?q=an:1072.35548}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 5
\pages 3470--3472
\crossref{https://doi.org/10.1023/B:JOTH.0000034025.30825.91}
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