17 citations · 51 across the 8 of their papers we have counts for
9 papers
Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zarembaboundary conditions
Marcelo Cavalcanti, Pierre Cornilleau, Valéria Domingos Cavalcanti +2
In this article we exploite the uniform decay for damped linear wave equation with Zaremba boundary condition, obtained in a previous work, to treat the same problem in nonlinear c…
Exponential stabilization of waves for the Zaremba boundary condition
Pierre Cornilleau, Luc Robbiano
In this article we prove, under some geometrical condition on geodesic flow, exponential stabilization of wave equation with Zaremba boundary condition. We prove an estimate on the…
On the local exact controllability of micropolar fluids with few controls
Sergio Guerrero, Pierre Cornilleau
In this paper, we study the local exact controllability to special trajectories of the micropolar fluid systems in dimension d = 2 and d = 3. We show that controllability is possib…
On the cost of null-control of an artificial advection-diffusion problem
Pierre Cornilleau, Sergio Guerrero
In this paper we study the null-controllability of an artificial advection-diffusion system in dimension . Using a spectral method, we prove that the control cost goes to zero e…
Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves
Pierre Cornilleau, Luc Robbiano
In this paper, we shall prove a Carleman estimate for the so-called Zaremba problem. Using some techniques of interpolation and spectral estimates, we deduce a result of stabilizat…
Boundary stabilization and control of wave equations by means of a general multiplier method
Pierre Cornilleau, Jean-Pierre Loheac
We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get D…
Energy decay for solutions of the wave equation with general memory boundary conditions
Pierre Cornilleau, Serge Nicaise
We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on th…
Controllability and observabiliy of an artificial advection-diffusion problem
Pierre Cornilleau, Sergio Guerrero
In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint sy…
Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers
Pierre Cornilleau, Jean-Pierre Loheac, Axel Osses
The rotated multipliers method is performed in the case of the boundary stabilization by means of a(linear or non-linear) Neumann feedback. this method leads to new geometrical cas…