@article{article_418379, title={Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={2}, pages={217–223}, year={2018}, DOI={10.31197/atnaa.418379}, author={Djilali, Medjahed and Hakem, Ali}, keywords={Boundary feedback,decay rate of energy,exponential stabilization,perturbed energy}, abstract={<div>The purpose of this work is to study the exponential decay of the energy for </div> <div>the one-dimensional transmission wave equation with a boundary velocity feedback. </div> <div>Thanks to the perturbed energy method developed by some authors in several contexts, and </div> <div>under certain conditions, we prove that the feedback controller exponentially stabilizes the </div> <div>equilibrium to zero of the system below, i.e. the feedback leads to faster energy decay. </div>}, number={4}, publisher={Erdal KARAPINAR}