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 101
Control of a degenerate and singular wave equation in non-cylindrical domains
Jawad Salhi, Alhabib Moumni
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 10, 2022
March 03, 2096
April 15, 2096

Abstract: In this talk, we discuss the controllability problem for a one-dimensional degenerate and singular wave equation in cylindrical and non-cylindrical domains. Exact controllability is proved in the range of both subcritical and critical potentials and for sufficiently large time, through a boundary controller acting away from the degenerate/singular point. By duality argument, we reduce the problem to an observability estimate for the corresponding adjoint system, which is proved by means of the multiplier method and some Hardy-type inequalities.