Geodesic
Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}\cap H_{0}^{1}$.
Classification : 35B40, 35L70, 35B37
Keywords: quasilinear wave equation, global existence, asymptotic behavior, nonlinear dissipative term, multiplier method 
@article{EJDE_2002__2002__a20,
     author = {Aassila, Mohammed and Benaissa, Abbes},
     title = {Existence of global solutions to a quasilinear wave equation with general nonlinear damping},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a20/}
}
TY  - JOUR
AU  - Aassila, Mohammed
AU  - Benaissa, Abbes
TI  - Existence of global solutions to a quasilinear wave equation with general nonlinear damping
JO  - Electronic Journal of Differential Equations
PY  - 2002
VL  - 2002
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a20/
LA  - en
ID  - EJDE_2002__2002__a20
ER  - 
%0 Journal Article
%A Aassila, Mohammed
%A Benaissa, Abbes
%T Existence of global solutions to a quasilinear wave equation with general nonlinear damping
%J Electronic Journal of Differential Equations
%D 2002
%V 2002
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a20/
%G en
%F EJDE_2002__2002__a20
Aassila, Mohammed; Benaissa, Abbes. Existence of global solutions to a quasilinear wave equation with general nonlinear damping. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a20/