Now showing items 1-7 of 7

• #### Complexity and regularity of maximal energy domains for the wave equation with fixed initial data ﻿

(Discrete and Continuous Dynamical Systems- Series A, 2015-12-31)
We consider the homogeneous wave equation on a bounded open connected subset Î© of IRn. Some initial data being specified, we consider the problem of determining a measurable subset Ï‰ of Î© maximizing the L2-norm of the ...
• #### Dispersion for 1-d Schrödinger and wave equations with bv coefficients ﻿

(Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 2016-01-01)
In this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV coefficients. In the case of the wave equation we give a complete answer in terms of the variation of the logarithm of the ...
• #### Optimal location of controllers for the one-dimensional wave equation ﻿

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...
• #### Optimal Observation of the One-dimensional Wave Equation ﻿

(Journal of Fourier Analysis and Applications, 2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ...
• #### Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results ﻿

(Journal of Functional Analysis, 2012-12-31)
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|x| 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ...
• #### Stabilization of the wave equation on 1-D networks ﻿

(SIAM Journal on Control and Optimization, 2009-12-31)
In this paper we study the stabilization of the wa ve equation on general 1-d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ...
• #### Time discrete wave equations: Boundary observability and control ﻿

(Discrete and Continuous Dynamical Systems, 2009-12-31)
In this paper we study the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. We prove that the projection of the solution in an appropriate filtered space is exactly controllable ...