83 citations · 179 across the 36 of their papers we have counts for
5 papers · 2 filters
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…
Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay
Vilmos Komornik, Cristina Pignotti
We consider the KdV-Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate…
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
Young-Pil Choi, Cristina Pignotti
We study a Cucker-Smale-type flocking model with distributed time delay where individuals interact with each other through normalized communication weights. Based on a Lyapunov fun…