Boundary stabilization of transmission problems
Analysis of PDEs
2015-05-14 v1 Mathematical Physics
math.MP
Abstract
We study the transmission problem in bounded domains with dissipative boundary conditions. Under some natural assumptions, we prove uniform bounds of the corresponding resolvents on the real axis at high frequency, and as a consequence, we obtain free of eigenvalues regions. As an application, we get exponential decay of the energy of the solutions of the correpsonding mixed boundary value problems.
Cite
@article{arxiv.0910.3778,
title = {Boundary stabilization of transmission problems},
author = {Fernando Cardoso and Georgi Vodev},
journal= {arXiv preprint arXiv:0910.3778},
year = {2015}
}
Comments
18 pages