Add to ORKGWe prove exponential decay for a system of two Schrödinger equations in a wave guide, with coupling and damping at the boundary. This relies on the spectral analysis of the corresponding coupled Schrödinger operator on the one-dimensional cross section. We show in particular that we have a spectral gap and that the corresponding generalized eigenfunctions form a Riesz basis
Abstract: In this paper, we use the multiplier method to study the energy decay of a coupling of a w...
This thesis is composed of two independent parts. In the first part we investigate the energy decay ...
International audienceWe prove the local energy decay for the wave equation in a wave guide with dis...
We prove exponential decay for a system of two Schrödinger equations in a wave guide, with coupling ...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
Abstract. We prove exponential decay for the solution of the Schrödinger equation on a dissipative ...
Abstract: We consider a system of coupled wave equations subject to positive vis-cous damping. Under...
We prove local and global energy decay for the wave equation in a wave guide with damping at infinit...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
International audienceWe prove the local energy decay for the wave equation in a wave guide with dis...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. ...
Abstract: In this paper, we use the multiplier method to study the energy decay of a coupling of a w...
This thesis is composed of two independent parts. In the first part we investigate the energy decay ...
International audienceWe prove the local energy decay for the wave equation in a wave guide with dis...
We prove exponential decay for a system of two Schrödinger equations in a wave guide, with coupling ...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
Abstract. We prove exponential decay for the solution of the Schrödinger equation on a dissipative ...
Abstract: We consider a system of coupled wave equations subject to positive vis-cous damping. Under...
We prove local and global energy decay for the wave equation in a wave guide with damping at infinit...
International audienceWe prove exponential decay for the solution of the Schrödinger equation on a d...
International audienceWe prove the local energy decay for the wave equation in a wave guide with dis...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
International audienceWe prove local and global energy decay for the wave equation in a wave guide w...
This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. ...
Abstract: In this paper, we use the multiplier method to study the energy decay of a coupling of a w...
This thesis is composed of two independent parts. In the first part we investigate the energy decay ...
International audienceWe prove the local energy decay for the wave equation in a wave guide with dis...