On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order |
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Authors: | Ferruccio Colombini Tamotu Kinoshita |
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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 |
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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. |
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Keywords: | 35G10 35L30 35L80 |
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