152 citations · 547 across the 17 of their papers we have counts for
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The Threshold between Effective and Noneffective Damping for Semilinear Waves
Marcello D'Abbicco
In this paper we study the global existence of small data solutions to the Cauchy problem for the semilinear wave equation with scale-invariant damping. We obtain estimates for the…
A modified test function method for damped waves
Marcello D'Abbicco, Sandra Lucente
In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical ex…
Semi-linear structural damped waves
Marcello D'Abbicco, Michael Reissig
We study the global existence of small data solutions for Cauchy problem for the semi-linear structural damped wave equation with source term.
Semi-linear wave equations with effective damping
Marcello D'Abbicco, Sandra Lucente, Michael Reissig
We study the Cauchy problem for the semi-linear damped wave equation in any space dimension. We assume that the time-dependent damping term is effective. We prove the global existe…