Asymptotic stability of wave equations with memory and frictional boundary dampings

Fatiha Alabau-Boussouira. "Asymptotic stability of wave equations with memory and frictional boundary dampings." Applicationes Mathematicae 35.3 (2008): 247-258. <http://eudml.org/doc/279969>.

@article{FatihaAlabau2008,
abstract = {This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped. The result is based on multiplier techniques and integral inequalities.},
author = {Fatiha Alabau-Boussouira},
journal = {Applicationes Mathematicae},
keywords = {wave equation; stabilization; boundary damping; memory damping; integro-differential PDE's},
language = {eng},
number = {3},
pages = {247-258},
title = {Asymptotic stability of wave equations with memory and frictional boundary dampings},
url = {http://eudml.org/doc/279969},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Fatiha Alabau-Boussouira
TI - Asymptotic stability of wave equations with memory and frictional boundary dampings
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 3
SP - 247
EP - 258
AB - This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped. The result is based on multiplier techniques and integral inequalities.
LA - eng
KW - wave equation; stabilization; boundary damping; memory damping; integro-differential PDE's
UR - http://eudml.org/doc/279969
ER -