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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 6, Pages 85–98 (Mi fpm1001)  
On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity

P. A. Zakharchenkoa, E. V. Radkevichb

a M. V. Lomonosov Moscow State University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The paper is devoted to the study of the well-posedness of the mixed problem for hyperbolic equations with constant coefficients and characteristics of variable multiplicity. The authors distinguish a class of higher-order hyperbolic operators with constant coefficients and characteristics of variable multiplicity for which a generalization of the Sakamoto $L_2$-well-posedness of the mixed problem is obtained.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 1, Pages 2689–2698
DOI: https://doi.org/10.1007/s10948-008-0166-x
Bibliographic databases:
UDC: 517.9+533.7+533.723
Language: Russian
Citation: P. A. Zakharchenko, E. V. Radkevich, “On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity”, Fundam. Prikl. Mat., 12:6 (2006), 85–98; J. Math. Sci., 151:1 (2008), 2689–2698
Citation in format AMSBIB
\Bibitem{ZakRad06}
\by P.~A.~Zakharchenko, E.~V.~Radkevich
\paper On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 6
\pages 85--98
\mathnet{http://mi.mathnet.ru/fpm1001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314133}
\zmath{https://zbmath.org/?q=an:1151.35396}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 1
\pages 2689--2698
\crossref{https://doi.org/10.1007/s10948-008-0166-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449087333}
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    		Фундаментальная и прикладная математика
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