Browsing Past Topics (PT) by Author "Métivier, G."

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A note on complete hyperbolic operators with log-Zygmund coefficients

Colombini, F.; del Santo, D.; Fanelli, F.; Métivier, G. (2014-12-31)

The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients ...
A well-posedness result for hyperbolic operators with Zygmund coefficients

Colombini, F.; del Santo, D.; Fanelli, F.; Métivier, G. (2013-12-31)

In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space. In particular, this estimate implies the ...
Time-Dependent Loss of Derivatives for Hyperbolic Operators with Non Regular Coefficients

Colombini, F.; del Santo, D.; Fanelli, F.; Métivier, G. (2013-12-31)

In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension N ≥ 1. We will suppose the coefficients to be log-Zygmund continuous in time and ...