152 citations · 547 across the 17 of their papers we have counts for
4 papers · 1 filter
Asymptotic profiles for a wave equation with parameter dependent logarithmic damping
Ruy Coimbra Charao, Marcello D'Abbicco, Ryo Ikehata
We study a nonlocal wave equation with logarithmic damping which is rather weak in the low frequency zone as compared with frequently studied strong damping case. We consider the C…
The semilinear Euler-Poisson-Darboux equation: a case of wave with critical dissipation
Marcello D'Abbicco
In this paper we study the existence of global-in-time energy solutions to the Cauchy problem for the Euler-Poisson-Darboux equation, with a power nonlinearity: $$u_{tt}-u_{xx} + \…
A test function method for evolution equations with fractional powers of the Laplace operator
Kazumasa Fujiwara, Marcello D'Abbicco
In this paper, we discuss a test function method to obtain nonexistence of global-in-time solutions for higher order evolution equations with fractional derivatives and a power non…
The critical exponent for nonlinear damped -evolution equations
Marcello D'Abbicco, Marcelo Rempel Ebert
In this paper, we derive suitable optimal decay estimates, , for the solutions to the -evolution equation, , with structural damping and…