On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 85-98

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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.
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     title = {On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity},
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P. A. Zakharchenko; E. V. Radkevich. On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 85-98. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a5/