38 citations · 178 across the 63 of their papers we have counts for
7 papers · 1 filter
Resolvent estimates for wave operators in Lipschitz domains
Kaïs Ammari, Chérif Amrouche
In this paper we study the resolvent of wave operators on open and bounded Lipschitz domains of with Dirichlet or Neumann boundary conditions. We give results on exi…
Dispersion for Schrödinger operators on regular trees
Kaïs Ammari, Mostafa Sabri
We prove dispersive estimates for two models~: the adjacency matrix on a discrete regular tree, and the Schrödinger equation on a metric regular tree with the same potential on eac…
Boundary stabilization of a one-dimensional wave equation by a switching time-delay: a theoretical and numerical study
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in t…
Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularit…
Feedback stabilization of linear and bilinear unbounded systems in Banach space
K. Ammari, S. El Alaoui, M. Ouzahra
We consider linear control systems of the form where is a positive real parameter, is the state operator and generates a linear semigroup…
Logarithmic stabilization of an acoustic system with a damping term of Brinkman type
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term…