13 citations · 17 across the 11 of their papers we have counts for
4 papers · 1 filter
On fractional semilinear wave equations in non-cylindrical domains
Mauro Bonafini, Van Phu Cuong Le, Riccardo Molinarolo
In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regul…
Weak solutions for nonlinear waves in adhesive phenomena
Mauro Bonafini, Van Phu Cuong Le
We discuss a notion of weak solution for a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on resu…
On the obstacle problem for fractional semilinear wave equations
Mauro Bonafini, Van Phu Cuong Le, Matteo Novaga +1
We prove existence of weak solutions to the obstacle problem for semilinear wave equations (including the fractional case) by using a suitable approximating scheme in the spirit of…
A variational scheme for hyperbolic obstacle problems
Mauro Bonafini, Matteo Novaga, Giandomenico Orlandi
We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete ap…