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4 papers · 2 filters
An optimal spectral inequality for degenerate operators
Rémi Buffe, Kim Dang Phung, Amine Slimani
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…
Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains
Simon Labrunie, Hassan Mohsen, Victor Nistor
We consider a \emph{family} of elliptic second order differential operators on a domain whose coefficients depend on the space variable…
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
Maha Daoud, El-Haj Laamri, Azeddine Baalal
In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of . The…
Bilinear Strichartz estimates and almost sure global solutions for the nonlinear Schr{ö}dinger equation
Nicolas Burq, Aurélien Poiret, Laurent Thomann
The purpose of this article is to construct global solutions, in a probabilistic sense, for the nonlinear Schr{ö}dinger equation posed on , in a supercritical regime.…