17 citations · 51 across the 8 of their papers we have counts for
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math.OC2009
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…
math.OC2009★ 6 cited
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…
math.OC2009★ 9 cited
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…