4 papers
Fredholm transformation on Laplacian and rapid stabilization for the heat equation
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. We prove that, under some assumption…
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation
Ludovick Gagnon, Pierre Lissy, Swann Marx
This paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which s…
Control and exponential stability for a transmission problem of a viscoelastic wave equation
Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti +1
In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium wit…
Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface
Ludovick Gagnon
We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the r…