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Now showing items 1-7 of 7

#### Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data

(2015-12-31)

In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ...

#### 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 sensor location for wave and Schrödinger equations

(2014-12-31)

This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa- tions, which has been the object of the talk of the third author at the Hyp2012 ...

#### Optimal shape and location of sensors or actuators in PDE models

(2014-12-31)

We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ...

#### The turnpike property infinite-dimensional nonlinear optimal control

(2014-12-31)

Turnpike properties have been established long time ago in finite-dimensional optimal control problems arising in econometry. They refer to the fact that, under quite general assumptions, the optimal solutions of a given ...

#### 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 ...