The aim of this paper is to give an overview of results related to nonlinear wave equations
during the last half century. In this regard, we present results concerning existence, decay …

Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up Page 1 D
ifferential E quations & A pplications Volume 3, Number 4 (2011), 503–525 WAVE EQUATION …

This paper is concerned with the study of the nonlinearly damped system of wave equations
with Dirichlét boundary conditions: utt−∆ u+| ut| m− 1ut= Fu (u, v) in Ω×(0,∞), vtt−∆ v+| vt| r …

We study the initial boundary value problem of semilinear hyperbolic equations $ u_ {tt}-
\Delta u= f (u) $ and semilinear parabolic equations $ u_ {t}-\Delta u= f (u) $ with critical …

This work is concerned with a system of nonlinear wave equations with nonlinear damping
and source terms acting in both equations. We will prove that the solution of our considered …

In this paper we consider a multi-dimensional damped semilinear wave equation with
dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local …

This paper is concerned with the study of the nonlinear damped wave equation u_ tt-Δ u+ h
(u_t)= g (u)\quad\rm in\, Ω * 0, ∞, where Ω is a bounded domain of R^ 2 having a smooth …

A global nonexistence theorem for viscoelastic equations with arbitrary positive initial
energy - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

In this paper we consider a multi-dimensional wave equation with dynamic boundary
conditions, related to the Kelvin–Voigt damping. Global existence and asymptotic stability of …

In this paper we consider the following problem utt= Δ u+ b (x, t)| u| σ (x, t)− 2 u+ f (x, t), x, t∈
QT= Ω×(0, T), u (x, 0)= u 0 (x), ut (x, 0)= u 1 (x)≥ 0, x∈ Ω, u Γ T= 0, Γ T=∂ Ω×(0, T) under …