Geodesic
Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic journal of differential equations, Tome 2002 (2002)
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__a120,
     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},
     year = {2002},
     volume = {2002},
     zbl = {1029.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a120/}
}
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%A Benaissa,  Abbes
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%J Electronic journal of differential equations
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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__a120/