English

Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface

Optimization and Control 2017-11-02 v1

Abstract

We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the rays of the optic geometry is described by the Snell-Descartes law. We provide sufficient conditions on the geometry of the mediums and on the speed of propagation for the boundary controllability.

Keywords

Cite

@article{arxiv.1711.00448,
  title  = {Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface},
  author = {Ludovick Gagnon},
  journal= {arXiv preprint arXiv:1711.00448},
  year   = {2017}
}

Comments

28 pages, 30 figures