Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity

DOI10.1016/j.na.2011.10.022zbMath1237.35009OpenAlexW2049087435MaRDI QIDQ412687

Mitsuhiro Nakao

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.022

zbMATH Keywords

global existencenonlinear wave equationnonlinear dissipationenergy decay

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity ⋮ Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity ⋮ Global existence to the initial-boundary value problem for a system of semilinear wave equations ⋮ Global solutions and finite time blow-up for fourth order nonlinear damped wave equation ⋮ Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations

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