14 citations · 16 across the 4 of their papers we have counts for
5 papers
Well-posedness results for hyperbolic operators with coefficients rapidly oscillating in time
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli
In the present paper, we consider second order strictly hyperbolic linear operators of the form , for $(t,x)\in[0,T]\tim…
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients
Daniele Casagrande, Daniele Del Santo, Martino Prizzi
We prove logarithmic conditional stability up to the final time for backward-parabolic operators whose coefficients are Log-Lipschitz continuous in and Lipschitz continuous in…
The non-isentropic Einstein-Euler system written in a symmetric hyperbolic form
Uwe Brauer, Lavi Karp
We cast the non--isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain t…
Conditional stability for backward parabolic equations with Osgood coefficients
Daniele Casagrande, Daniele Del Santo, Martino Prizzi
The interest of the scientific community for the existence, uniqueness and stability of solutions to PDE's is testified by the numerous works available in the literature. In partic…
On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuou…