Energy decay rates for solutions of Maxwell's system with a memory boundary condition

Nicaise, Serge, and Pignotti, Cristina. "Energy decay rates for solutions of Maxwell's system with a memory boundary condition." Collectanea Mathematica 58.3 (2007): 327-342. <http://eudml.org/doc/42031>.

@article{Nicaise2007,
abstract = {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. },
author = {Nicaise, Serge, Pignotti, Cristina},
journal = {Collectanea Mathematica},
keywords = {algebraic curves; line bundles; projective normality; normal generation},
language = {eng},
number = {3},
pages = {327-342},
title = {Energy decay rates for solutions of Maxwell's system with a memory boundary condition},
url = {http://eudml.org/doc/42031},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Nicaise, Serge
AU - Pignotti, Cristina
TI - Energy decay rates for solutions of Maxwell's system with a memory boundary condition
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 3
SP - 327
EP - 342
AB - 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.
LA - eng
KW - algebraic curves; line bundles; projective normality; normal generation
UR - http://eudml.org/doc/42031
ER -