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On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order
Authors:Ferruccio Colombini  Tamotu Kinoshita
Affiliation:a Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy
b Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan
Abstract:We shall consider the Cauchy problem for weakly hyperbolic equations of higher order with coefficients depending only on time. The regularities of the distinct characteristic roots and the multiple characteristic roots independently influence Gevrey well posedness of the Cauchy problem.
Keywords:35G10   35L30   35L80
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