Browsing by Author "Privat, Y."
Now showing items 1-6 of 6
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Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
Privat, Y.; Trélat, E.; Zuazua, E. (2015-12-31)We consider the homogeneous wave equation on a bounded open connected subset Ω of IRn. Some initial data being specified, we consider the problem of determining a measurable subset ω of Ω maximizing the L2-norm of the ... -
Optimal location of controllers for the one-dimensional wave equation
Privat, Y.; Trélat, E.; Zuazua, E. (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
Privat, Y.; Trélat, E.; Zuazua, E. (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 ... -
Optimal sensor location for wave and Schrödinger equations
Privat, Y.; Trélat, E.; Zuazua, E. (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 for Parabolic Equations with Random Initial Data
Privat, Y.; Trélat, E.; Zuazua, E. (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 ... -
Optimal shape and location of sensors or actuators in PDE models
Privat, Y.; Trélat, E.; Zuazua, E. (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 ...