We study the Cauchy problem for the semilinear structural damped wave equation with
source term with σ∈(0, 1] in space dimension n≥ 2 and with a positive constant μ. We are …

In this paper, we find the critical exponent for global small data solutions to the Cauchy
problem in R n, for dissipative evolution equations with power nonlinearities| u| p or| ut| p, ut …

The main purpose of this paper is to study the global existence of small data solutions for
semi-linear structurally damped σ-evolution models of the form ut t+(− Δ) σ u+ μ (− Δ) δ ut= f …

In this paper, we study diffusion phenomena for the wave equation with structural damping
utt− Δ u+ 2 a (− Δ) σ ut= 0, u (0, x)= u 0 (x), ut (0, x)= u 1 (x), with a> 0 and σ∈(0, 1/2). We …

In this paper, we study the asymptotic profile of the solution for a σ‐evolution equation with a
time‐dependent structural damping. We introduce a classification of the damping term …

In this paper we study the global existence of small data solutions to utt−△ u+ 2 a (−△) σ
ut=| u| p, u (0, x)= u 0 (x), ut (0, x)= u 1 (x), where a> 0, σ∈(0, 1/2] and p> 1. Assuming small …

The present paper is a continuation of our recent paper\cite {DaoReissig}. We will consider
the following Cauchy problems for semi-linear structurally damped $\sigma $-evolution …

In this paper, we obtain several asymptotic profiles of solutions to the Cauchy problem for
structurally damped wave equations ∂ _ t^ 2 u-\varDelta u+ ν (-\varDelta)^ σ ∂ _ tu= 0∂ t 2 …

We study the following Cauchy problems for semi-linear structurally damped σ-evolution
models: ut t+(− Δ) σ u+ μ (− Δ) δ ut= f (u, ut), u (0, x)= u 0 (x), ut (0, x)= u 1 (x) with σ≥ 1, μ> 0 …

In this paper, we derive long time L p− L q decay estimates, in the full range 1≤ p≤ q≤∞,
for time-dependent multipliers in which an interplay between an oscillatory component and a …