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On weakly hyperbolic operators with non-regular coefficients and finite order degeneration |
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| Authors: | Ferruccio Colombini Tamotu Kinoshita |
| Affiliation: | a Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy b Dipartimento di Scienze Matematiche, Università di Trieste, Via A. Valerio 12/1, 34127 Trieste, Italy c Institute of Mathematics, Tsukuba University, Tsukuba, Ibaraki 305-8571, Japan |
| Abstract: | We prove that the Cauchy problem for a class of weakly hyperbolic equations satisfying a condition of finite order degeneration and having non-Lipschitz-continuous coefficients is well-posed in Gevrey spaces. |
| Keywords: | Cauchy problem Weak hyperbolicity Gevrey spaces |
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