This article is intended to present a construction of structural representations of solutions to
the Cauchy problem for wave equations with time-dependent dissipation above scaling …

The goal of this article is to construct structural representations of the solutions to Cauchy
problems for weakly dissipative wave equations below scaling and to deduce estimates of …

arXiv:1210.3493v1 [math.AP] 12 Oct 2012 Page 1 arXiv:1210.3493v1 [math.AP] 12 Oct 2012
SEMI-LINEAR WAVE EQUATIONS WITH EFFECTIVE DAMPING MARCELLO D’ABBICCO …

In this paper, we obtain the global existence of small data solutions to the Cauchy problem
in space dimension n≥ 1, for p> 1+ 2∕ n, where μ is sufficiently large. We obtain estimates …

In this paper we consider the critical exponent problem for the semilinear damped wave
equation with time-dependent coefficients. We treat the scale invariant cases. In this case …

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 work we study the blow-up of solutions of a weakly coupled system of damped
semilinear wave equations in the scattering case with power nonlinearities. We apply an …

We obtain a blow-up result for solutions to a semi-linear wave equation with scale-invariant
dissipation and mass and power non-linearity, in the case in which the model has a “wave …

In this paper, we study the 1-d isentropic Euler equations with time-dependent damping. Our
damping decays at a speed of order− 1 with respect to time which is a little weaker than the …

In this paper we consider the following Cauchy problem for the semi-linear wave equation
with scale-invariant dissipation and mass and power non-linearity:(⋆) utt− Δ u+ μ 1 1+ tu t+ μ …