English

Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D

Optimization and Control 2021-11-16 v2 Analysis of PDEs

Abstract

This paper is devoted to study exact controllability of two one-dimensional coupled wave equations with first-order coupling terms with coefficients depending on space and time. We give a necessary and sufficient condition for both exact controllability in high frequency in the general case and the unique continuation in the cascade case.

Keywords

Cite

@article{arxiv.2104.08960,
  title  = {Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D},
  author = {Farid Ammar Khodja and Yacine Mokhtari},
  journal= {arXiv preprint arXiv:2104.08960},
  year   = {2021}
}