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math.AP2026
Unstable free boundary problems in optimal control theory: existence and regularity
Lorenzo Ferreri, Idriss Mazari-Fouquer, Raphaël Prunier
We establish the first general regularity result for constrained optimal control problems arising naturally in mathematical physics and mathematical biology. Namely, we prove that…
math.AP2023
Sharp Quantitative Stability of the Dirichlet spectrum near the ball
Dorin Bucur, Jimmy Lamboley, Mickaël Nahon +1
Let be an open set with the same volume as the unit ball and let be the -th eigenvalue of the Laplace operator of with Dirichlet boundary…