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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 213–228 (Mi znsl372)  
Temporary deformations of degrees of the wave operator

S. P. Khekalo

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: The conditions at which the linear differential operators of the second order are equivalent to operators not containing of “friction” (first partial derivatives) are investigated. One can construct iso-Huygens deformations for degrees of the wave operator with time-dependent coefficients. The fundamental solutions of these deformations and conditions, at which the Huygens principle holds are found.
Received: 05.02.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5603–5612
DOI: https://doi.org/10.1007/s10958-006-0328-y
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: S. P. Khekalo, “Temporary deformations of degrees of the wave operator”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 213–228; J. Math. Sci. (N. Y.), 138:2 (2006), 5603–5612
Citation in format AMSBIB
\Bibitem{Khe05}
\by S.~P.~Khekalo
\paper Temporary deformations of degrees of the wave operator
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 213--228
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl372}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159356}
\zmath{https://zbmath.org/?q=an:1100.35002}
\elib{https://elibrary.ru/item.asp?id=9126086}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5603--5612
\crossref{https://doi.org/10.1007/s10958-006-0328-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748558807}
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