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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
