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20232026
most citedOn the threshold nature of the Dini continuity for a Glassey derivative-type nonlinearity in a critical semilinear wave equation

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2026

Strauss and Glassey exponents for semilinear wave equations with a non-effective and not scattering producing damping

Wanderley Nunes do Nascimento, Alessandro Palmieri

In this paper, we study the Cauchy problems for a semilinear damped wave equation with a time-dependent coefficient for the damping term belonging to the class of non-effective dam…

math.AP2026

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…

math.AP2026

Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group

Wenhui Chen, Alessandro Palmieri

In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particula…

math.AP2025

Blow-up results for a Nakao-type problem with a time-dependent damping term and derivative-type nonlinearities

Yuequn Li, Alessandro Palmieri

In this paper, we consider a semilinear system of damped wave equations coupled through power nonlinearities of derivative-type. In particular, we consider a classical damped wave…

math.AP2025

On the blow-up of solutions to a Nakao-type problem with a time-dependent damping term

Yuequn Li, Alessandro Palmieri

In this paper, we study a semilinear weakly coupled system of wave equations with power nonlinearities. More precisely, we couple (through the nonlinear terms) a wave equation and…

math.AP2024

A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity

Ning-An Lai, Alessandro Palmieri, Hiroyuki Takamura

In this paper, we prove a blow-up result for a generalized semilinear Euler-Poisson-Darboux equation with polynomially growing speed of propagation, when the power of the semilinea…

math.AP2023★ 1 cited

On the threshold nature of the Dini continuity for a Glassey derivative-type nonlinearity in a critical semilinear wave equation

Wenhui Chen, Alessandro Palmieri

In the present manuscript, we determine the critical condition for the nonlinearity in a semilinear wave equation with a derivative-type nonlinearity. More precisely, we consider a…