8 citations · 8 across the 3 of their papers we have counts for
4 papers
Optimal stabilization rate for the wave equation with hyperbolic boundary condition
Hugo Parada, Nicolas Vanspranghe
We show that the energy of classical solutions to the wave equation with hyperbolic boundary condition (i.e., dynamic Wentzell boundary condition) and damping on the boundary decay…
Wave equation with hyperbolic boundary condition: a frequency domain approach
Nicolas Vanspranghe
In this paper, we investigate the stability of the linear wave equation where one part of the boundary, which is seen as a lower-dimensional Riemannian manifold, is governed by a c…
Velocity Stabilization of a Wave Equation with a Nonlinear Dynamic Boundary Condition
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a c…
Stabilization of the wave equation through nonlinear Dirichlet actuation
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
In this paper, we consider the problem of nonlinear (in particular, saturated) stabilization of the high-dimensional wave equation with Dirichlet boundary conditions. The wave dyna…