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