Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 225
Null controllability for 1D-heat equation with dynamic boundary conditions
Mariem Jakhoukh, Lahcen Maniar
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2197
April 15, 2197

Abstract: The null controllability of parabolic systems has been studied for Dirichlet and nonlinear Neumann boundary conditions. Recently, the case of the dynamic boundary conditions have been considered , where the presence of the diffusion term on the boundary, i-e “δ>0”, has played an essential role in establishing important results. The case of “δ =0” remain unsolved. This situation can occur for instance in the one-dimensional case. In this communication, we present the study of the null controllability for the 1D-heat equation by developing a Carleman estimate for the adjoint system ...