90 citations · 131 across the 9 of their papers we have counts for
3 papers · 2 filters
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 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…
Almost global existence for exterior Neumann problems of semilinear wave equations in 2D
Soichiro Katayama, Hideo Kubo, Sandra Lucente
The aim of this article is to prove an "almost" global existence result for some semilinear wave equations in the plane outside a bounded convex obstacle with the Neumann boundary…