19 citations · 25 across the 10 of their papers we have counts for
11 papers · 1 filter
Well-posedness and stability for semilinear wave-type equations with time delay
Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a semilinear abstract damped wave-type equation with time delay. We assume that the delay feedback coefficient is variable in time and belonging to $L^1_{l…
Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
Alessandro Paolucci, Cristina Pignotti
In this paper we study a class of semilinear wave type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, care…
Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay
Serge Nicaise, Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney bl…
Local boundedness for weak solutions to some quasilinear elliptic systems
Salvatore Leonardi, Francesco Leonetti, Cristina Pignotti +2
We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we ass…
Asymptotic behavior of dispersive electromagnetic waves in bounded domains
Serge Nicaise, Cristina Pignotti
We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigro…
Consensus of the Hegselmann-Krause opinion formation model with time delay
Young-Pil Choi, Alessandro Paolucci, Cristina Pignotti
In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay sa…