## Search

Now showing items 1-7 of 7

#### Dispersion for 1-d Schrödinger and wave equations with bv coefficients

(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 ...

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

(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 ...

#### Optimal location of controllers for the one-dimensional wave equation

(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

(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

(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

(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

(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 ...