17 citations · 132 across the 34 of their papers we have counts for
7 papers · 1 filter
A well-posedness result for hyperbolic operators with Zygmund coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
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…
A note on non-homogeneous hyperbolic operators with low-regularity coefficients
Ferruccio Colombini, Francesco Fanelli
In this paper we obtain an energy estimate for a complete strictly hyperbolic operator with second order coefficients satisfying a log-Zygmund-continuity condition with respect to…
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces
Raphaël Danchin, Francesco Fanelli
This work is the continuation of the recent paper \cite{D2} devoted to the density-dependent incompressible Euler equations. Here we concentrate on the well-posedness issue in Beso…
Conservation of geometric structures for non-homogeneous inviscid incompressible fluids
Francesco Fanelli
We obtain a result about propagation of geometric properties for solutions of the non-homogeneous incompressible Euler system in any dimension . In particular, we investiga…
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension . We will suppose the coefficients…
Weak observability estimates for 1-D wave equations with rough coefficients
Francesco Fanelli, Enrique Zuazua
In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" observ…
The well-posedness issue in endpoint spaces for an inviscid low-Mach number limit system
Francesco Fanelli, Xian Liao
The present paper is devoted to the well-posedness issue for a low-Mach number limit system with heat conduction but no viscosity. We will work in the framework of general Besov sp…