On the Stabilization of the Wave Equation by the Boundary

Cardoso, Fernando, and Vodev, Georgi. "On the Stabilization of the Wave Equation by the Boundary." Serdica Mathematical Journal 28.3 (2002): 233-240. <http://eudml.org/doc/11559>.

@article{Cardoso2002,
abstract = {* Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.},
author = {Cardoso, Fernando, Vodev, Georgi},
journal = {Serdica Mathematical Journal},
keywords = {Complex Eigenvalues; Energy Decay; distribution of the eigenvalues; dissipative boundary conditions},
language = {eng},
number = {3},
pages = {233-240},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Stabilization of the Wave Equation by the Boundary},
url = {http://eudml.org/doc/11559},
volume = {28},
year = {2002},
}

TY - JOUR
AU - Cardoso, Fernando
AU - Vodev, Georgi
TI - On the Stabilization of the Wave Equation by the Boundary
JO - Serdica Mathematical Journal
PY - 2002
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 28
IS - 3
SP - 233
EP - 240
AB - * Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.
LA - eng
KW - Complex Eigenvalues; Energy Decay; distribution of the eigenvalues; dissipative boundary conditions
UR - http://eudml.org/doc/11559
ER -