Szukana fraza: [Abstract = "We consider a linear damped wave equation defined on a two\-dimensional domain \?, with a dissipative term localized in a subset \?. We address the shape design problem which consists in optimizing the shape of \? in order to minimize the energy of the system at a given time T. By introducing an adjoint problem, we first obtain explicitly the \(shape\) derivative of the energy at time T with respect to the variation in \?."]

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