90 citations · 131 across the 9 of their papers we have counts for
9 papers
Semilinear damped wave equation on a compact Lie group with a non-autonomous forcing term
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present note, we consider a semilinear damped wave equation on a compact Lie group with a non-autonomous nonlinearity . We are interested in describing how the no…
Blow up for nonlinear wave-type equations with perturbed derivatives
F. A. Chiarello, G. Girardi, S. Lucente
We investigate semilinear wave-type equations that can be recast as wave equations with derivatives perturbed by zero-order terms. This framework covers several well-studied cases,…
Singularity: a Seventh Memo?
Matteo Gallone, Sandra Lucente
In this paper we explore the relationships between Calvino's memos and Mathematics. In the first part, we discuss how Lightness, Quickness, Exactitude, Visibility, Multiplicity are…
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the…
A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type
Sandra Lucente, Alessandro Palmieri
In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation $\mathscr{T}_{\!\!\ell} u = |\p…
Fujita modified exponent for scale invariant damped semilinear wave equations
Felisia Angela Chiarello, Giovanni Girardi, Sandra Lucente
The aim of this paper is to prove a blow up result of the solution for a semilinear scale invariant damped wave equation under a suitable decay condition on radial initial data. Th…
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…