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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…
math.AP2022
Small-time local controllability of the bilinear Schrödinger equation, despite a quadratic obstruction, thanks to a cubic term
Mégane Bournissou
We consider a 1D linear Schr{ö}dinger equation, on a bounded interval, with Dirichlet boundary conditions and bilinear control. We study its controllability around the ground state…