International Conference on Differential Equations
and Dynamical Systems DEDS'2021
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Research Communication | Open Access
Volume 2021 | Communication ID 76


Boundary null controllability for the heat equation with dynamic boundary conditions
Salah Eddine Chorfi, Ghita El Guermai, Abdelaziz Khoutaibi, Lahcen Maniar
Academic Editors: Youssef EL FOUTAYENI - Chaouki AOUITI
Received
Accepted
Published
May 14, 2021
May 20, 2021
July 15, 2021

Abstract: 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 bound- ary control supported on an arbitrary subboundary. The proof of the main result relies on a new boundary Carleman estimate for the adjoint system.



International Conference on Differential Equations and Dynamic Systems DEDS @ 2021