We consider a second order weakly hyperbolic equation with time and space depending coefficients. We suppose the coefficients to have globally a Hoelder type behavior and locally a blow up of the first derivative at some time. We show that the Cauchy problem for such an equation is well posed in Gevrey classes; the upper bound for the Gevrey index σ depends only on the dominant between the local and the global condition.

The cauchy problem for a weakly hyperbolic equation with unbounded and non Lipschitz continuous coefficients

ASCANELLI, Alessia
2007

Abstract

We consider a second order weakly hyperbolic equation with time and space depending coefficients. We suppose the coefficients to have globally a Hoelder type behavior and locally a blow up of the first derivative at some time. We show that the Cauchy problem for such an equation is well posed in Gevrey classes; the upper bound for the Gevrey index σ depends only on the dominant between the local and the global condition.
2007
Ascanelli, Alessia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/518970
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