TY - JOUR
T1 - Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝ<sup>n</sup>
AU - Bouhali , Keltoum
AU - Ellaggoune , Fateh
JO - Journal of Partial Differential Equations
VL - 1
SP - 47
EP - 63
PY - 2017
DA - 2017/03
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/5070.html
KW - Lyapunov function
KW - viscoelastic
KW - density
KW - decay rate
KW - weighted spaces
AB -  In any spaces dimension, we use weighted spaces to establish a general decay rate of solution of viscoelastic wave equation with logarithmic nonlinearities. Furthermore, we establish, under convenient hypotheses on g and the initial data, the existence of weak solution associated to the equation.