In this paper we consider the wave equations with power type nonlinearities including time-
derivatives of unknown functions and their weakly coupled systems. We propose a …

This work is devoted to the nonexistence of global-in-time energy solutions of nonlinear
wave equation of derivative type with weak time-dependent damping in the scattering and …

In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson
(MGT) equation with nonlinearity of derivative type $| u_t|^ p $ in the conservative case. We …

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 …

In this paper, we discuss a new nonlinear phenomenon. We find that in n≥ 2 space
dimensions, there exists two indexes p and q such that the Cauchy problems for the …

We consider in this article the damped wave equation in the scale-invariant case with
combined two nonlinearities as source term, namely| ut| p+| u| q, and with small initial data …

In this article, we study the blow‐up of the damped wave equation in the scale‐invariant
case and in the presence of two nonlinearities. More precisely, we consider the following …

In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear
damped wave equations in the scattering case with nonlinearities of mixed type. The proof of …

In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with
nonlinear term of derivative type, ie, for the equation T ℓ u=|∂ tu| p, where T ℓ=∂ t 2-t 2 ℓ Δ …

In this note, we prove blow-up results for semilinear wave models with damping and mass in
the scale-invariant case and with nonlinear terms of derivative type. We consider the single …