To understand the characteristics of dynamical behavior especially the kinetic evolution for
logarithmic nonlinearity, we aim to study the global well-posedness of nonlinear fourth order …

We are concerned with asymptotic behaviours of solutions for linear wave equations with
frictional damping only on Wentzell boundary, but without any interior damping. Making …

The paper deals with the existence and multiplicity of nontrivial solutions for the doubly
elliptic problem $$\begin {cases}\Delta u= 0\qquad &\text {in $\Omega $,}\\u= 0 &\text {on …

The aim of this paper is to give global nonexistence and blow--up results for the problem
$$\begin {cases} u_ {tt}-\Delta u+ P (x, u_t)= f (x, u)\qquad &\text {in $(0,\infty)\times\Omega …

This thesis provides a unified framework for the error analysis of non-conforming space
discretizations of linear wave equations in time-domain, which can be cast as symmetric …

In this paper, we consider the variable coefficient wave equation with damping and
supercritical source terms. The goal of this work is devoted to prove the local and global …

We investigate regularity and stability of wave equations with variable coefficients and the
frictional damping, where the damping effect is only on Wentzell boundary and there is no …

In this article we study the homogenization and uniform decay rates estimates of the energy
associated to the damped nonlinear wave equation∂ ttu ε− Δ u ε+ f (u ε)+ a (x) g (∂ tu ε)= 0 …

The paper deals with a nontrivial density result for C^ m (\varOmega) C m (Ω¯) functions,
with m ∈ N ∪ {∞\} m∈ N∪∞, in the space W^ k, ℓ, p (\varOmega;\varGamma)=\left {u ∈ …

This article studies the finite time blow-up of weak solutions to a structural acoustics model
consisting of a semilinear wave equation defined on a bounded domain Ω⊂ R 3 which is …