A dependence of the cost of fast controls for the heat equation on the support of initial datum

no code implementations • 24 Feb 2021 • Hoai-Minh Nguyen

The main ingredient of the proof of the new spectral inequality is three-sphere inequalities with partial data.

Optimization and Control Analysis of PDEs 93B05, 93B07, 93C20, 35A23, 35B30

Null-controllability, exact controllability, and stabilization of hyperbolic systems for the optimal time

no code implementations • 10 Dec 2020 • Jean-Michel Coron, Hoai-Minh Nguyen

Under precise and generic assumptions on the boundary conditions on the other side, we first obtain the optimal time for the null and the exact controllability for these systems for a generic source term.

Optimization and Control Analysis of PDEs