Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 1 (2):327-358 (2002)
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Abstract

We prove that the Cauchy problem for a class of hyperbolic equations with non-Lipschitz coefficients is well-posed in ${\mathcal{C}}^\infty $ and in Gevrey spaces. Some counter examples are given showing the sharpness of these results

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