Abstract
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain of the system consists of two bounded intervals, where the wave and Schrödinger equations evolve, respectively. Two kinds of transmission conditions are considered: one is the simple continuous transmission, and by using the HUM method, the null controllability of the system is derived in the Hilbert space when a boundary control is added only on the wave equation. The other case is that the Schrödinger state is associated with the velocity of the wave, and we establish the null controllability of the system. It is found that the second space has more regularity.
Original language | English |
---|---|
Article number | 27 |
Journal | Journal of Dynamical and Control Systems |
Volume | 30 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 2024 |
Keywords
- Boundary control
- Null controllability
- Transmission system