M Hamouda, MA Hamza - arXiv preprint arXiv:2010.05455, 2020 - arxiv.org
We are interested in this article in studying the damped wave equation with localized initial data, in the\textit {scale-invariant case} with mass term and two combined nonlinearities …
Y Li, T He, Y Qiao - Applicable Analysis, 2024 - Taylor & Francis
We investigate the nonexistence of nontrivial solutions to a semilinear Euler–Poisson– Darboux–Tricomi equation with combined nonlinearity and provide the lifespan estimate …
MFB Hassen, M Hamouda, MA Hamza - arXiv preprint arXiv:2306.14768, 2023 - arxiv.org
We study in this article the blow-up of solutions to a coupled semilinear wave equations which are characterized by linear damping terms in the\textit {scale-invariant regime}, time …
M Sen, X Fan, X Wu - Mathematics, 2024 - search.proquest.com
This paper is related to the blow-up results of solutions to the Cauchy problem of semilinear generalized Tricomi equations, which contain a scale-invariant damping term and a mass …
AZ Fino, MA Hamza - arXiv preprint arXiv:2409.13353, 2024 - arxiv.org
This paper addresses the Cauchy problem for wave equations with scale-invariant time- dependent damping and nonlinear time-derivative terms, modeled as $$\partial_ {t}^ 2u …
Y Li, F Guo - arXiv preprint arXiv:2502.02084, 2025 - arxiv.org
In this paper, we begin by establishing local well-posedness for the semilinear regular Euler- Poisson-Darboux-Tricomi equation. Subsequently, we derive a lifespan estimate with the …
S Ming, X Wang, X Fan, X Wu - AIMS Mathematics, 2024 - aimspress.com
This work was concerned with the weakly coupled system of semi-linear wave equations with time dependent speeds of propagation, damping terms, and derivative nonlinear terms …
J Yang, S Ming, W Han, J Du - Discrete Dynamics in Nature and …, 2022 - Wiley Online Library
The main purpose of this paper is to study the formation of singularity for a coupled system of wave equations with damping terms, negative mass terms, and divergence form …
A Palmieri - arXiv preprint arXiv:2105.09879, 2021 - arxiv.org
In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these …