In this paper we are concerned with nonlinear damped hyperbolic equation with p-Laplace of the form utt-Δpu+ σ(t)(ut-Δut)+w|u|m-2u = |u|r-2u. Used the multiplier techniques combined with a nonlinear integral inequalities given by Martinez we established a decay rate estimate for the energy.
International Journal of Advanced Research in Mathematics (Volume 6)
S. Mokeddem "On Behaviors of the Energy of Solutions for Some Damped Nonlinear Hyperbolic Equations with p-Laplacian", International Journal of Advanced Research in Mathematics, Vol. 6, pp. 13-20, 2016