Geodesic
On the nonlinear stabilization of the wave equation
Annales Polonici Mathematici, Tome 68 (1998) no. 2, pp. 191-198

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
DOI : 10.4064/ap-68-2-191-198
Keywords: wave equation, nonlinear damping, integral inequality

Aissa Guesmia 1

1 
@article{10_4064_ap_68_2_191_198,
     author = {Aissa Guesmia},
     title = {On the nonlinear stabilization of the wave equation},
     journal = {Annales Polonici Mathematici},
     pages = {191--198},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {1998},
     doi = {10.4064/ap-68-2-191-198},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-68-2-191-198/}
}
TY  - JOUR
AU  - Aissa Guesmia
TI  - On the nonlinear stabilization of the wave equation
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 191
EP  - 198
VL  - 68
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-68-2-191-198/
DO  - 10.4064/ap-68-2-191-198
LA  - en
ID  - 10_4064_ap_68_2_191_198
ER  - 
%0 Journal Article
%A Aissa Guesmia
%T On the nonlinear stabilization of the wave equation
%J Annales Polonici Mathematici
%D 1998
%P 191-198
%V 68
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-68-2-191-198/
%R 10.4064/ap-68-2-191-198
%G en
%F 10_4064_ap_68_2_191_198
Aissa Guesmia. On the nonlinear stabilization of the wave equation. Annales Polonici Mathematici, Tome 68 (1998) no. 2, pp. 191-198. doi: 10.4064/ap-68-2-191-198

Cité par Sources :