Exponential stability for a coupled system of damped-undamped plate equations
Abstract
We consider the transmission problem for a coupled system of undamped and structurally damped plate equations in two sufficiently smooth and bounded subdomains. It is shown that, independently of the size of the damped part, the damping is strong enough to produce uniform exponential decay of the energy of the coupled system.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2017
- DOI:
- 10.48550/arXiv.1702.00637
- arXiv:
- arXiv:1702.00637
- Bibcode:
- 2017arXiv170200637D
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 74K20;
- 74H40;
- 35B40;
- 35Q74
- E-Print:
- IMA J. Appl. Math. 83 (2018), 302-322