54 citations · 333 across the 36 of their papers we have counts for
4 papers · 1 filter
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan
We study a damped semi-linear wave equation in a bounded domain with smooth boundary. It is proved that any sufficiently smooth solution can be stabilised locally by a finite-dimen…
Scattering for radial, bounded solutions of focusing supercritical wave equations
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper, we consider the wave equation in space dimension 3 with an energy-supercritical, focusing nonlinearity. We show that any radial solution of the equation which is bou…
Classification of radial solutions of the focusing, energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-line…
Profiles of bounded radial solutions of the focusing, energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
In this paper we consider global and non-global bounded radial solutions of the focusing energy-critical wave equation in space dimension 3. We show that any of these solutions dec…