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 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 derive L 1− L 1 long time estimates for the strongly damped plate equation
ut t+ Δ 2 u+ Δ 2 ut= 0 x∈ R n, t∈ R+, u (0, x)= u 0 (x), ut (0, x)= u 1 (x). In particular, we prove …

In the present paper, we prove time decay estimates of solutions in weighted Sobolev
spaces to the second order evolution equation with fractional Laplacian and damping for …

In this paper, we would like to consider the Cauchy problem for semi-linear σ-evolution
equations with time-dependent damping for any σ≥ 1. Motivated strongly by the …

In this paper, we would like to consider the Cauchy problem for semilinear σ σ‐evolution
equations with time‐dependent damping for any σ≥ 1 σ ≥ 1. Motivated strongly by the …

In this work we study decay rates for a hyperbolic plate equation under effects of an
intermediate damping term represented by the action of a fractional Laplacian operator and …

In this work we investigate decay rates for Sobolev solutions of σ-evolution equations in R n
under effects of a damping term represented by the action of a fractional Laplacian operator …

In this paper, we study the following Cauchy problem for linear visco‐elastic damped wave
models with a general time‐dependent coefficient g= g (t) g=g(t):★ utt− Δ u− g (t) Δ ut= 0,(t …

In this paper, we are interested in the L 1-L 1 estimate for the energy, the elastic energy‖| D|
σ u (t,·)‖ L 1 and the kinetic energy‖ ut (t,·)‖ L 1 to the Cauchy problems for a class of …