14 citations · 43 across the 10 of their papers we have counts for
11 papers · 1 filter
The virial--Kato method and the asymptotic stability of solitons of the generalized Benjamin, Bona and Mahony equation
Scipio Cuccagna, Daniele Del Santo, Masaya Maeda
We apply to the generalized pure power Benjamin, Bona and Mahony equation our method of combining high energy virial estimates with Kato smoothing, which closes the virial estimate…
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…
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…
Conditional stability for backward parabolic equations with -coefficients
D. Del Santo, Ch. P. Jäh, M. Prizzi
In this paper we present an improvement of [Math. Ann. 345 (2009), 213--243], where the authors proved a result concerning continuous dependence for backward parabolic operators wh…
Backward uniqueness for parabolic operators with non-Lipschitz coefficients
Daniele Del Santo, Christian Jäh, Marius Paicu
In this paper we study the backward uniqueness for parabolic equations with non-Lipschitz coefficients in time and space. The result presented here improves an old uniqueness theor…
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we study the well-posedness of the Cauchy problem for first order hyperbolic systems with constant multiplicities and with low regularity coefficients depending just…
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…
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…
A new result on backward uniqueness for parabolic operators
Daniele Del Santo, Martino Prizzi
Using Bony's paramultiplication we improve a result obtained in in a previous paper for operators having coefficients non-Lipschitz-continuous with respect to but ${\mathcal C}…