55 citations · 572 across the 31 of their papers we have counts for
8 papers · 1 filter
A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen, Alessandro Palmieri
In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type in the conservative case. We…
Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case
Wenhui Chen, Alessandro Palmieri
In this work, the Cauchy problem for the semilinear Moore-Gibson-Thompson (MGT) equation with power nonlinearity on the right-hand side is studied. Applying estim…
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity
Vladimir Georgiev, Alessandro Palmieri
In this paper, we consider the Cauchy problem for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. We prove that the critical exponent is the Fu…
Decay estimates for the linear damped wave equation on the Heisenberg group
Alessandro Palmieri
This paper is devoted to the derivation of - decay estimates for the solution of the homogeneous linear damped wave equation on the Heisenberg group , for…
Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group
Vladimir Georgiev, Alessandro Palmieri
In this paper we consider the semilinear Cauchy problem for the heat equation with power nonlinearity in the Heisenberg group . The heat operator is given in this cas…
Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case
Alessandro Palmieri
This paper is devoted to derive integral representation formulae for the solution of an inhomogeneous linear wave equation with time-dependent damping and mass terms, that are scal…
A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
Alessandro Palmieri, Ziheng Tu
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 sin…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
Alessandro Palmieri, Hiroyuki Takamura
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, namely,…