The hyperbolic operators with the characteristics vanishing with the different speeds.

zbMath1056.35007MaRDI QIDQ696164

Kunihiko Kajitani, Karen Yagdjian, Seiichiro Wakabayashi

Publication date: 2002

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

time-dependent coefficientsLevi conditions on the lower order termswell-posedness in \(C^\infty\)

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

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A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space ⋮ On the 2 by 2 weakly hyperbolic systems ⋮ Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order ⋮ On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order

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