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Insensitizing control for linear and semi-linear heat equations with partially unknown domain

2018
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E S A I M: Control, Optimisation and Calculus of Variations
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We consider a semi-linear heat equation with Dirichlet boundary conditions and globally Lipschitz nonlinearity, posed on a bounded domain of R N (N ∈ N * ), assumed to be an unknown perturbation of a reference domain. We are interested in an insensitizing control problem, which consists in finding a distributed control such that some functional of the state is insensitive at the first order to the perturbations of the domain. Our first result consists of an approximate insensitization property

doi:10.1051/cocv/2018035
fatcat:ftopjvha4jhqtovczfwm6egzge