Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain
arXiv:2501.18621 · doi:10.1007/s00009-019-1393-z
Abstract
This paper deals with the controllability for a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. This equation models small vibrations of a string where an endpoint is fixed and the other is moving. As usual, we consider one main control (the leader) and an additional secondary control (the follower). We use Stackelberg-Nash strategies.
20 pages. arXiv admin note: substantial text overlap with arXiv:2501.06672, arXiv:2501.13146