## Search

Now showing items 1-10 of 13

#### Identification of the class of initial data for the insensitizing control of the heat equation

(Communications on Pure and Applied Analysis, 2009-12-31)

This paper is devoted to analyze the class of initial data that can be insensitized for the heat equation. This issue has been extensively addressed in the literature both in the case of complete and approximate insensitization ...

#### 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 ...

#### Convergence of a two-grid algorithm for the control of the wave equation

(Journal of the European Mathematical Society, 2009-12-31)

We analyze the problem of boundary observability of the finite-difference space semidiscretizations of the 2-d wave equation in the square.We prove the uniform (with respect to the meshsize) boundary observability for the ...

#### Numerical dispersive schemes for the nonlinear Schrödinger equation

(SIAM Journal on Numerical Analysis, 2009-12-31)

We consider semidiscrete approximation schemes for the linear Schrödinger equation and analyze whether the classical dispersive properties of the continuous model hold for these approximations. For the conservative finite ...

#### Uniformly exponentially stable approximations for a class of damped systems

(Journal des Mathematiques Pures et Appliquees, 2009-12-31)

We consider time semi-discrete approximations of a class of exponentially stable infinite-dimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semi-discrete systems, due ...

#### Homogenization of fiber reinforced brittle materials: The extremal cases

(SIAM Journal on Mathematical Analysis, 2009-12-31)

We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: ...

#### Minimization of length and curvature on planar curves

(Proceedings of the IEEE Conference on Decision and Control, 2009-12-31)

In this paper we consider the problem of reconstructing a curve that is partially hidden or corrupted by minimizing the functional ∫ √1+K 2 ds, depending both on length and curvature K. We fix starting and ending points ...

#### 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. ...

#### Some controllability results for the 2D Kolmogorov equation

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2009-12-31)

In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the right-hand side of the equation, located on a subdomain, that ...

#### Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials

(SIAM Journal on Mathematical Analysis, 2009-12-31)

We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed by a singular inverse-square potential. Exact boundary controllability is proved in the range of subcritical coefficients ...