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 85
Null controllability for a degenerate and singular Schrödinger equation
Alhabib Moumni, Genni Fragnelli, Jawad Salhi, Mouhcine Tilioua
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 04, 2022
March 03, 2081
April 15, 2081

Abstract: In this paper, we deal with the boundary controllability of a one-dimensional degenerate and singular Schrödinger equation with degeneracy and singularity occurring at the boundary of the spatial domain. To this aim, we prove direct and inverse inequalities of the corresponding adjoint problem by making use of the the multiplier method and some suitable Hardy Poincaré inequalities.