The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

This article investigates the following family of nonlinear wave equations ∂^ 2_tu+ γ (-Δ)^
α\partial_t u= Δ uf (u)+ g (x),\quad x ∈ Ω ⊂ R^ n,\, n\geqslant 1, with α∈0,1/2) and| f …

We investigate sectoriality and maximal regularity in L p–L q-Sobolev spaces for the
structurally damped plate equation with Dirichlet–Neumann (clamped) boundary conditions …

The paper investigates the global well-posedness and the longtime dynamics of the
Kirchhoff equations with fractional damping and supercritical nonlinearity: utt− M (‖∇ u‖ 2) …

Parabolic approximation of damped wave equations via fractional powers: Fast growing
nonlinearities and continuity of the dynamics - ScienceDirect Skip to main contentSkip to article …

This paper is concerned with the long term dynamics of the supercritical stochastic wave
equation driven by multiplicative noise on unbounded domains. By introducing an …

In this work we prove the lower and upper semicontinuity of pullback, uniform, and cocycle
attractors for the non-autonomous dynamical system given by hyperbolic equation on a …

We study the backwards dynamics for the wave equation defined on the whole 3D Euclid
space with a positively bounded coefficient of the damping and a time-dependent force. We …

In this paper we introduce a matrix representation of the logarithmic wave operator and we
study a second-order semilinear evolution equation governed by this operator. We present a …

The paper studies the existence of an exponential attractor for the wave equation with
structural damping and supercritical nonlinearity utt− Δ u+ γ (− Δ) α ut+ f (u)= g (x). By …