83 citations · 179 across the 36 of their papers we have counts for
26 papers · 1 filter
Well-posedness and exponential stability for abstract evolution equations with delay in the nonlinear source: frictional and viscoelastic cases
Houria Chellaoua, Yamna Boukhatem, Cristina Pignotti
In this paper, we establish the well-posedness and exponential stability of a class of semilinear neutral abstract evolution equations with constant time delay. Two damping mechani…
Indirect stabilization of nonlinear coupled wave equations in the presence of time delay or indefinite damping
Alhabib Moumni, Cristina Pignotti, Jawad Salhi +1
This paper explores the exponential stability of two nonlinear wave equations coupled through their velocities. The analysis is divided into two main cases. First, we consider a sy…
Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
Elisa Continelli, Cristina Pignotti
In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay functio…
Stability for some classes of degenerate nonlinear hyperbolic equations with time delay
Alessandro Camasta, Genni Fragnelli, Cristina Pignotti
We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using…
Exponential decay estimates for semilinear wave-type equations with time-dependent time delay
Cristina Pignotti
In this paper, we analyze a semilinear damped second order evolution equation with time-dependent time delay and time-dependent delay feedback coefficient. The nonlinear term satis…
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…
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…
Energy decay for evolution equations with delay feedbacks
Vilmos Komornik, Cristina Pignotti
We study abstract linear and nonlinear evolutionary systems with single or multiple delay feedbacks, illustrated by several concrete examples. In particular, we assume that the ope…
Well-posedness and stability results for nonlinear abstract evolution equations with time delays
Serge Nicaise, Cristina Pignotti
We consider abstract evolution equations with a nonlinear term depending on the state and on delayed states. We show that, if the -semigroup describing the linear part of the…
Stability results for abstract evolution equations with intermittent time-delay feedback
Cristina Pignotti
We consider abstract evolution equations with on-off time delay feedback. Without the time delay term, the model is described by an exponentially stable semigroup. We show that, un…
Stability of solutions to nonlinear wave equations with switching time-delay
Genni Fragnelli, Cristina Pignotti
In this paper we study well-posedness and asymptotic stability for a class of nonlinear second-order evolution equations with intermittent delay damping. More precisely, a delay fe…
Stability results for second-order evolution equations with memory and switching time-delay
Cristina Pignotti
It is well-known that wave-type equations with memory, under appropriate assumptions on the memory kernel, are uniformly exponentially stable. On the other hand, time delay effects…
Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping
Kais Ammari, Serge Nicaise, Cristina Pignotti
In this paper we consider a stabilization problem for the abstract-wave equation with delay. We prove an exponential stability result for appropriate damping coefficient. The proof…
On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in
Giorgio Fusco, Francesco Leonetti, Cristina Pignotti
We consider a Dirichlet problem for the Allen-Cahn equation in a smooth, bounded or unbounded, domain Under suitable assumptions, we prove an existence result…
Exponential stability of abstract evolution equations with time delay
Serge Nicaise, Cristina Pignotti
We consider abstract semilinear evolution equations with a time delay feedback. We show that, if the -semigroup describing the linear part of the model is exponentially stable…
Exponential stability of the wave equation with memory and time delay
Fatiha Alabau-Boussouira, Serge Nicaise, Cristina Pignotti
We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time…
Stabilization of second-order evolution equations with time delay
Serge Nicaise, Cristina Pignotti
We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framewor…
Stability results for second-order evolution equations with switching time-delay
Serge Nicaise, Cristina Pignotti
We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential s…