In this paper we prove that the Cauchy problem for a class of weakly hyperbolic equations having Hölder-continuous coefficients is well-posed in Gevrey spaces. The index of the Gevrey class is related to the Hölder index and to the speed of oscillation of the coefficients.
Gevrey-well-posedness for weakly hyperbolic operators with Hölder-continuous coefficients
DEL SANTO, DANIELE;
2004-01-01
Abstract
In this paper we prove that the Cauchy problem for a class of weakly hyperbolic equations having Hölder-continuous coefficients is well-posed in Gevrey spaces. The index of the Gevrey class is related to the Hölder index and to the speed of oscillation of the coefficients.File in questo prodotto:
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