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math.AP2022
Insensitizing control for linear and semi-linear heat equations with partially unknown domain
Pierre Lissy, Yannick Privat, Yacouba Simporé
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 unk…
math.AP2022
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin, Mario Sigalotti
This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…