Indirect stabilization of weakly coupled systems with hybrid boundary conditions
Optimization and Control
2014-01-29 v2 Systems and Control
Analysis of PDEs
Abstract
We investigate stability properties of indirectly damped systems of evolution equations in Hilbert spaces, under new compatibility assumptions. We prove polynomial decay for the energy of solutions and optimize our results by interpolation techniques, obtaining a full range of power-like decay rates. In particular, we give explicit estimates with respect to the initial data. We discuss several applications to hyperbolic systems with {\em hybrid} boundary conditions, including the coupling of two wave equations subject to Dirichlet and Robin type boundary conditions, respectively.
Keywords
Cite
@article{arxiv.1106.0263,
title = {Indirect stabilization of weakly coupled systems with hybrid boundary conditions},
author = {F. Alabau-Boussouira and P. Cannarsa and R. Guglielmi},
journal= {arXiv preprint arXiv:1106.0263},
year = {2014}
}