@Article{Nakao2014,
author = "Nakao, Mitsuhiro",
title = "Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity",
journal = "Opuscula Math.",
year = "2014",
volume = "34",
number = "3",
pages = "569--590",
doi = "http://dx.doi.org/10.7494/OpMath.2014.34.3.569",
url = "http://dx.doi.org/10.7494/OpMath.2014.34.3.569",
abstract = "We prove the existence and uniqueness of a global decaying solution to the initial boundary value problem for the quasilinear wave equation with Kelvin-Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a 'loan' method and use a difference inequality on the energy.",
keywords = "global solutions, energy decay, quasilinear wave equation, Kelvin-Voigt dissipation, derivative nonlinearity",
issn = "1232-9274"
}