The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate controllability for an impulsive heat equation with dynamic boundary conditions.
@article{arxiv.2202.13732,
title = {Impulse null approximate controllability for heat equation with dynamic boundary conditions},
author = {S. E. Chorfi and G. El Guermai and L. Maniar and W. Zouhair},
journal= {arXiv preprint arXiv:2202.13732},
year = {2022}
}