Asymptotic behavior of dispersive electromagnetic waves in bounded domains
Analysis of PDEs
2020-04-22 v1
Abstract
We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the boundedness of the associated semigroup. Further the exponential or polynomial decay of the energy is proved under suitable sufficient conditions. Finally, several illustrative examples are presented.
Keywords
Cite
@article{arxiv.1909.09000,
title = {Asymptotic behavior of dispersive electromagnetic waves in bounded domains},
author = {Serge Nicaise and Cristina Pignotti},
journal= {arXiv preprint arXiv:1909.09000},
year = {2020}
}