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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/1693197
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