Aassila, MohammedBenaissa, Abbes2020-08-212020-08-212002-10-26Aassila, M., & Benaissa, A. (2002). Existence of global solutions to a quasilinear wave equation with general nonlinear damping. <i>Electronic Journal of Differential Equations, 2002</i>(91), pp. 1-22.1072-6691https://hdl.handle.net/10877/12448In 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 H² ∩ H¹₀.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear wave equationGlobal existenceAsymptotic behaviorNonlinear dissipative termMultiplier methodArticle