This paper is concerned with the blowup phenomena for initial value problem of semilinear
wave equation with critical time-dependent dam** term DW∂ t 2 u (x, t)-Δ u (x, t)+ μ 1+ t∂ …

The blow-up for semilinear wave equations with the scale invariant dam** has been well-
studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow …

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 …

In this note we study the global existence of small data solutions to the Cauchy problem for
the semilinear wave equation with a not effective scale-invariant dam** term, namely …

It is well-known that the critical exponent for semilinear damped wave equations is Fujita
exponent when the dam** is effective. Lai, Takamura and Wakasa in 2017 have obtained …

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 work we consider several semilinear damped wave equations with “subcritical”
nonlinearities, focusing on studying lifespan estimates for energy solutions. Our main …

We study the Cauchy problem for the Euler-Poisson-Darboux equation, with a power
nonlinearity: utt− ux x+ μ tut= t α| u| p, t> t 0, x∈ R, where μ> 0, p> 1 and α>− 2. Here either t …

It has been asserted that the semilinear wave equation with scattering dam** admits the
same Strauss critical exponent as the classical semilinear wave equation. In this paper, we …

We consider in this article the damped wave equation in the scale-invariant case with
combined two nonlinearities as source term, namely| ut| p+| u| q, and with small initial data …