We consider the stabilization of Maxwell's equations with space variable coefficients in a bounded region with a smooth boundary, subject to dissipative boundary conditions of memory type on the boundary. Under suitable conditions on the domain and on the permeability and permittivity coefficients, we prove the exponential/polynomial decay of the energy. Our result is mainly based on the use of the multipliers method and the introduction of a suitable Lyapounov functional.
@article{urn:eudml:doc:42031,
title = {Energy decay rates for solutions of Maxwell's system with a memory boundary condition},
journal = {Collectanea Mathematica},
volume = {58},
year = {2007},
pages = {327-342},
zbl = {1135.14021},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42031}
}
Nicaise, Serge; Pignotti, Cristina. Energy decay rates for solutions of Maxwell's system with a memory boundary condition. Collectanea Mathematica, Tome 58 (2007) pp. 327-342. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42031/