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- Title
Boundary null controllability for the heat equation with dynamic boundary conditions.
- Authors
Chorfi, Salah-Eddine; Guermai, Ghita El; Khoutaibi, Abdelaziz; Maniar, Lahcen
- Abstract
In this paper, we are concerned with the boundary controllability of heat equation with dynamic boundary conditions. More precisely, we prove that the equation is null controllable at any positive time by means of a boundary control supported on an arbitrary subboundary. The proof of the main result combines a new boundary Carleman estimate and some regularity estimates for the adjoint system, with an explicit dependence with respect to the final time. This technique allows us to overcome a new difficulty that arises when absorbing a normal derivative term.
- Subjects
HEAT equation; CARLEMAN theorem; SURFACE diffusion
- Publication
Evolution Equations & Control Theory, 2023, Vol 12, Issue 2, p1
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2022041