3 papers
math.OC2026
On the Homogenization of Norm and Time Optimal Controls for Parabolic Equations with Oscillating Coefficients
Jon Asier Bárcena-Petisco, Marius Tucsnak
We study homogenization of norm-optimal and time-optimal controls for a one-dimensional heat equation with rapidly oscillating periodic diffusion coefficients. The controls act on…
math.OC2023
Tracking controllability for the heat equation
Jon Asier Bárcena Petiso, Enrique Zuazua
We study the tracking or sidewise controllability of the heat equation. More precisely, we seek for controls that, acting on part of the boundary of the domain where the heat proce…
math.OC2023
On uniform null-controllability of tangential transport-diffusion equations with vanishing viscosity limit
Fouad Et-tahri, Jon Asier Barcena-Petisco, Idriss Boutaayamou +1
This paper aims to address an interesting open problem posed in the paper ''Singular Optimal Control for a Transport-Diffusion Equation'' of Sergio Guerrero and Gilles Lebeau in 20…