3 papers
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.AP2025
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 boun…
math.AP2025
Some optimal control and shape optimisation problems for bulk-surface cooperative systems
Andrea Gentile, Idriss Mazari-Fouquer, Raphaël Prunier
The goal of this paper is to address some optimal control and shape optimisation problems arising from bulk-surface cooperative systems. The basic model under consideration is the…