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Cauchy problems with characteristic initial hypersurface. (English) Zbl 0256.35050


MSC:

35L30 Initial value problems for higher-order hyperbolic equations
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References:

[1] and , Problèmes de Cauchy relatifs à une surface initiale caractéristique, Applications. Coll. International C.N.R.S. Equations aux Dérivées Partielles, Orsay 1972.
[2] Djebbar, C.R. Acad. Sc. Paris
[3] On the initial value problems with data on a double characteristic, J. Math. Kyoto Univ. 11.2 1971, pp. 357–372. · Zbl 0218.35059
[4] Linear Partial Differential Operators, Springer-Verlag, 1963. · Zbl 0108.09301 · doi:10.1007/978-3-642-46175-0
[5] John, Comm. Pure App. Math. 2 pp 209– (1949)
[6] Leray, Bull. Soc. Math. France 85 pp 389– (1957)
[7] Ovchyannikov, Dokl. Akad. Nauk SSSR 163.4 pp 819– (1965)
[8] Ovchyannikov theorem and hyperdifferential operators, Notas de Matematica No. 46, IMPA, Brazil, 1968.
[9] Treves, T.A.M.S. 137 pp 3– (1969)
[10] Note on Kowalevakaya’s system of partial differential equations, Comment. Math. Univ. St. Paul, 9–10, 1960 –61, pp. 1–20.
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