[PDF][PDF] A blow-up result for a wave equation with critical Glassey derivative-type nonlinearity and not Dini continuous modulus of continuity

W Chen, A Palmieri - arXiv preprint arXiv:2306.11478, 2023 - researchgate.net
In the present manuscript, we consider a semilinear wave equation with derivative-type
nonlinearity. More precisely, we consider a nonlinear term depending on the time derivative …

Remarks on semi-linear σ-evolution equations with critical damping and critical nonlinearity of derivative type

TA Dao, NH Son - 2024 - authorea.com
Abstract not-yet-known not-yet-known not-yet-known unknown In this article, we indicate that
under suitable assumptions of a modulus of continuity we obtain either the global (in time) …

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

W Chen, A Palmieri - researchgate.net
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 …