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Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes. (English) Zbl 0404.35068


MSC:

35L30 Initial value problems for higher-order hyperbolic equations
35S99 Pseudodifferential operators and other generalizations of partial differential operators
47F05 General theory of partial differential operators

Citations:

Zbl 0352.35060
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Full Text: DOI

References:

[1] V. Ya. Ivrii, ?Conditions for the correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators,? Dokl. Akad. Nauk SSSR,221, No. 4, 775-777 (1975).
[2] V. Ya. Ivrii, ?Well-posedness in projective Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators,? Dokl. Akad. Nauk SSSR,222, No. 1, 26-28 (1975).
[3] V. Ya. Ivrii, ?Conditions for the correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators,? Sib. Mat. Zh.,17, No. 3, 547-563 (1976).
[4] V. Ya. Ivrii and V. M. Petkov, ?Necessary conditions for the correctness of the Cauchy problem for nonstrictly hyperbolic equations,? Usp. Mat. Nauk,29, No. 5, 3-70 (1974). · Zbl 0312.35049
[5] V. Ya. Ivrii, ?Correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators,? Mat. Sb.,96, No. 3, 390-413 (1975).
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