Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture

NA Lai, NM Schiavone - Mathematische Zeitschrift, 2022 - Springer
We study in this paper the small data Cauchy problem for the semilinear generalized Tricomi
equations with a nonlinear term of derivative type u tt-t 2 m Δ u=| ut| p for m≥ 0. Blow-up …

[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 - arXiv preprint arXiv:2306.11478, 2024 - 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 …

Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type

M Hamouda, MA Hamza, A Palmieri - Nonlinear Differential Equations and …, 2022 - Springer
In this article, we investigate the blow-up for local solutions to a semilinear wave equation in
the generalized Einstein–de Sitter spacetime with nonlinearity of derivative type. More …

Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity

W Chen, S Lucente, A Palmieri - Nonlinear Analysis: Real World …, 2021 - Elsevier
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 …

A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime

M Hamouda, MA Hamza, A Palmieri - arXiv preprint arXiv:2101.12626, 2021 - arxiv.org
In this paper, we establish blow-up results for the semilinear wave equation in generalized
Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based on …

Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques

NA Lai, NM Schiavone - Journal of Evolution Equations, 2023 - Springer
In this paper, we are interested in the upper bound of the lifespan estimate for the
compressible Euler system with time-dependent damping and small initial perturbations. We …

Blow-up and lifespan estimate for the generalized Tricomi equation with mixed nonlinearities

M Hamouda, MA Hamza - arXiv preprint arXiv:2011.04895, 2020 - arxiv.org
We study in this article the blow-up of the solution of the generalized Tricomi equation in the
presence of two mixed nonlinearities, namely we consider $$(Tr)\hspace {1cm} u_ {tt} …

Finite time blow-up for a semilinear generalized Tricomi system with mixed nonlinearity

M Fan, J Geng, NA Lai, J Lin - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
There is a large literature about blow-up and lifespan estimate for semilinear generalized
Tricomi equation with power type nonlinear terms| u| p or| ut| p. In this work, we are devoted …

A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type

A Palmieri, H Takamura - Mathematische Annalen, 2023 - Springer
In this paper, we consider a weakly coupled system of a wave and damped Klein–Gordon
equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy …

Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity

MF Ben Hassen, M Hamouda, MA Hamza… - Asymptotic …, 2022 - content.iospress.com
Nonexistence result for the generalized Tricomi equation with the scale-invariant damping,
mass term and time derivative nonlinearity - IOS Press You are viewing a javascript disabled …