English

On the controllability of some equations of Sobolev-Galpern type

Analysis of PDEs 2024-02-02 v1 Optimization and Control

Abstract

In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot be driven to zero if the control region is strictly supported within the domain. Nevertheless, we also prove that it is possible to control the equations using controls which have a moving support, under some assumptions on its movement.

Keywords

Cite

@article{arxiv.1807.04695,
  title  = {On the controllability of some equations of Sobolev-Galpern type},
  author = {F. W. Chaves-Silva and Diego A. Souza},
  journal= {arXiv preprint arXiv:1807.04695},
  year   = {2024}
}

Comments

20 pages