PREPRINT

· E. Continelli and C. Pignotti,
“Consensus for the Hegselmann-Krause model with time variable time delays”, preprint 2022, arXiv:2206.12151.

· C. Pignotti,
“Exponential decay estimates for semilinear wave-type equations with time-dependent time delay”, preprint 2023, arXiv:2303.14208.

· E. Continelli and C. Pignotti,
“Semiconcavity for the value function of a minimum time problem with time delay”, preprint 2023, arXiv:2304.13569.

· E. Continelli and C. Pignotti,
“Consensus Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction”, preprint 2023, arXiv:2306.07658.

PUBLISHED PAPERS

· A. Paolucci and C. Pignotti,
“Consensus strategies for a Hegselmann-Krause model with leadership and time variable time delay”, Journal of Dynamics and Differential Equations, published online (2023), link

· A. Paolucci and C. Pignotti,
“A note on the Hegselmann-Krause opinion formation model with time-dependent time delay”, to appear in “Analysis and Numerics of Design, Control and Inverse Problems”, Springer Indam Series.

· S. Nicaise, A. Paolucci, and C. Pignotti,
“Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay”, Journal of Dynamics and Differential Equations, Vol. 35 (2023), 1369-1388. link

· A. Paolucci and C. Pignotti,
"Well-posedness and stability for semilinear wave-type equations with time delay",
Discrete and Continuous Dynamical Systems-S, Vol. 15 (2022), n.6, 1561-1571. link

· V. Komornik and C. Pignotti,
"Energy decay for evolution equations with delay feedbacks",
Mathematische Nachrichten. Vol. 295 (2022), n.5, pp. 377-394. link

· A. Paolucci and C. Pignotti,
"Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback", Mathematics of Control, Signals, and Systems, Vol. 33 (2021), n.4, pp.617-636. link

· Y.-P. Choi and C. Pignotti,
“Exponential synchronization of Kuramoto oscillators with time delayed coupling", Communications in Mathematical Sciences, Vol.19 (2021), n.5, pp. 1429-1445. link

· S. Leonardi, F. Leonetti, C. Pignotti, E. Rocha, and V. Staicu,
"Local boundedness for weak solutions to some quasilinear elliptic systems",
Minimax Theory and its Applications, Vol. 6 (2021), n.2, pp. 365-378. link

· Y.-P. Choi, A. Paolucci, and C. Pignotti,
"Consensus of the Hegselmann-Krause opinion formation model with time delay",
Mathematical Methods in the Applied Sciences. Vol. 44 (2021), n.6, pp. 4560-4579. link

· S. Nicaise and C. Pignotti,
"Asymptotic behavior of dispersive electtromagnetic waves in bounded domains", Z. Angew. Math. Phys. Vol. 71 (2020), n.3, Paper No. 76, 26 pp. link

· S. Leonardi, F. Leonetti, C. Pignotti, E. Rocha, and V. Staicu,
“Maximum principles for some quasilinear elliptic systems”, Nonlinear Analysis, Vol. 194 (2020), Article number 111377.link

· V. Komornik and C. Pignotti,
"Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay", Nonlinear Analysis, Vol. 191 (2020), Article number 111646. link

· Y.-P. Choi and C. Pignotti,
"Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays", Networks and Heterogeneous Media, Vol. 14 (2019), pp. 789-804. link

· C. Pignotti and I. Reche Vallejo,
"Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay",
in Trends in Control Theory and Partial Differential Equations, Springer Indam Series, Vol. 32 (2019), pp. 233-253. link

· C. Pignotti and E. Trélat,
"Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays", Communications in Mathematical Sciences, Vol. 16 (2018), n. 8, pp. 2053-2076.link

· C. Pignotti and I. Reche Vallejo,
"Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership",
Journal of Mathematical Analysis and Applications, Vol. 464 (2018), pp. 1313-1332. link

· S. Nicaise and C. Pignotti,
"Well-posedness and stability results for nonlinear abstract evolution equations with time delays",
Journal of Evolution Equations, Vol. 18 (2) (2018), pp. 947-971. link

· C. Pignotti,
"Stability results for abstract evolution equations with intermittent time-delay feedback'',
In Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs, Springer Indam Series, Vol. 22 (2017), pp. 469-487.

· S. Nicaise and C. Pignotti,
"A note on the asymptotic stability of wave-type equations with switching time-delay",
In Evolution Equations-Long Time behavior and Control, London Mathematical Society Lecture Note Series Vol. 439 (2017), pp. 137-150, Cambridge University Press.

· C. Pignotti,
"Stability results for second-order evolution equations with memory and switching time-delay"
Journal of Dynamics and Differential Equations, Vol. 29 (2017), pp. 1309-1324.

· G. Fusco, F. Leonetti and C. Pignotti,
"On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in R^2",
Discrete and Continuous Dynamical Systems-A, Vol. 37 (2017), pp. 725-742.

· G. Fragnelli and C. Pignotti,
"Stability of solutions to nonlinear wave equations with switching time-delay"
Dynamics of Partial Differential Equations, Vol. 13 (2016), pp. 31-51.

· S. Nicaise and C. Pignotti,
"Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback"
Discrete and Continuous Dynamical Systems-S, Vol. 9 (2016), pp. 791-813.

· K. Ammari, S. Nicaise, and C. Pignotti,
"Stability of abstract-wave equation with delay and a Kelvin-Voigt damping"
Asymptotic Analysis, Vol. 95 (2015), pp. 21-38.

· S. Nicaise and C. Pignotti,
"Exponential stability of abstract evolution equations with time delay"
Journal of Evolution Equations, Vol. 15 (2015), pp. 107-129.

· F. Alabau-Boussouira, S. Nicaise, and C. Pignotti,
"Exponential stability of the wave equation with memory and time delay"
New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer Indam Series, Vol. 10 (2014), pp. 1-22.

· S. Nicaise and C. Pignotti,
"Stability results for second-order evolution equations with switching time-delay",
Journal of Dynamics and Differential Equations, Vol. 26 (2014), pp. 781-803.

· S. Nicaise and C. Pignotti,
"Stabilization of second-order evolution equations with time delay",
Mathematics of Control, Signals and Systems, Vol. 26 (2014), pp. 563-588.

· K. Ammari, S. Nicaise, and C. Pignotti,
"Stabilization by switching time-delay",
Asymptotic Analysis, Vol. 83 (2013), pp. 263-283.

· S. Nicaise and C. Pignotti,
"Asymptotic stability of second- order evolution equations with intermittent delay"
Advances in Differential Equations, Vol. 17 (2012), pp. 879-902.

· C. Pignotti,
"A note on stabilization of locally damped wave equations with time delay",
Systems & Control Letters, Vol. 61 (2012), pp. 92-97.

· S. Nicaise and C. Pignotti,
"Exponential stability of second order evolution equations with structural damping and dynamic boundary delay feedback",
IMA Journal of Mathematical Control and Information, Vol. 28 (2011), pp. 417-446.

· S. Nicaise and C. Pignotti,
"Interior feedback stabilization of wave equations with time dependent delay",
Electronic Journal of Differential Equations, Vol. 2011 (2011), n. 41, pp. 1-20.

· G. Fusco, F. Leonetti, and C. Pignotti,
"A uniform estimate for positive solutions of semilinear elliptic equations",
Transactions of American Mathematical Society, Vol. 363 (2011), pp. 4285-4307.

· S. Nicaise, C. Pignotti, and J. Valein,
"Exponential stability of the wave equation with boundary time-varying delay ",
Discrete and Continuous Dynamical Systems-S, Vol. 4 (2011), n. 3, pp. 693-722.

· K. Ammari, S. Nicaise, and C. Pignotti,
"Feedback boundary stabilization of wave equations with interior delay ",
Systems & Control Letters, Vol. 59 (2010), pp. 623-628.

· S. Nicaise and C. Pignotti,
"Asymptotic analysis of a simple model of fluid-structure interaction",
Networks and Heterogeneous Media, Vol. 3 (2008), n. 4, pp. 787-813.

· S. Nicaise and C. Pignotti,
"Stabilization of the wave equation with boundary or internal distributed delay",
Differential and Integral Equations, Vol. 21 (2008), n. 9-10, pp. 935-958.

· G. Fusco and C. Pignotti,
"Estimates for fundamental solutions and spectral bounds for a class of Schrodinger operators",
Journal of Differential Equations, Vol. 244 (2008), n. 3, pp. 514-554.

· G. Freni, F. Gozzi, and C. Pignotti,
"Optimal strategies in linear multisector models: Value function and optimality conditions",
Journal of Mathematical Economics, Vol. 44 (2008), n. 1, pp. 55-86.

· S. Nicaise and C. Pignotti,
"Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell's System with Memory Boundary Conditions",
Functional Analysis and Evolution Equations. The Gunter Lumer Volume (2008), pp. 515-530, Birkhauser Verlag.

· S. Nicaise and C. Pignotti,
"Energy decay rates for solutions of Maxwell's system with a memory boundary condition",
Collectanea Mathematica, Vol. 58 (2007), n. 3, pp. 327-342.

· S. Nicaise and C. Pignotti,
"Partially delayed stabilizing feedbacks for Maxwell's system" ,
Advances in Differential Equations, Vol. 12 (2007), n. 1, pp. 27-54.

· S. Nicaise and C. Pignotti,
"Stabilization of the wave equation with variable coefficients and boundary condition of memory type",
Asymptotic Analysis, Vol. 50 (2006), n. 1-2, pp. 31-67.

· S. Nicaise and C. Pignotti,
"Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks",
SIAM Journal on Control and Optimization, Vol. 45 (2006), n. 5, pp. 1561-1585.

· S. Nicaise and C. Pignotti,
"Internal and boundary observability estimates for heterogeneous Maxwell's system",
Applied Mathematics and Optimization, Vol. 54 (2006), n. 1, pp. 47-70.

· S. Nicaise and C. Pignotti,
"Internal stabilization of Maxwell's equations in heterogeneous media",
Abstract and Applied Analysis, Vol. 2005 (2005), n. 7, pp. 791-811.

· C. Pignotti,
"Semiconcavity results for constrained optimal control problems in a half-space",
Journal of Mathematical Analysis and Applications, Vol. 305 (2005), n. 1, pp. 197-218.

· F. Camilli and C. Pignotti,
"A relaxation result for a class of degenerate Hamilton-Jacobi equations",
Differential and Integral Equations, Vol. 18 (2005), n. 4, pp. 419-430.

· S. Nicaise and C. Pignotti,
"Boundary stabilization of Maxwell's Equations with space-time variable coefficients",
ESAIM Control Optimisation and Calculus of Variations, Vol. 9 (2003), pp. 563-578.

· C. Pignotti,
"Rectifiability results for singular and conjugate points of optimal exit time problems",
Journal of Mathematical Analysis and Applications, Vol. 270 (2002), n. 2, pp. 681-708.

· C. Pignotti,
"Problemi di controllo ottimo con tempi di uscita: semiconcavita' e applicazioni",
Bollettino UMI, Serie VIII, Vol. IV-A (2001), pp. 531-534.
(abstract della Tesi di Dottorato)

· P. Cannarsa and C. Pignotti,
"Semiconcavity of the value function for an exit time problem with degenerate cost",
Le Matematiche, Vol. 55 - Suppl. 2 (2000), pp. 71-108.

· P. Cannarsa, C. Pignotti, and C. Sinestrari,
"Semiconcavity for Optimal Control Problems with Exit Time",
Discrete and Continuous Dynamical Systems, Vol. 6 (2000), n. 4, pp. 975-997.

· C. Pignotti,
"Observability and controllability of Maxwell's equations",
Rendiconti di Matematica e Applicazioni, serie VII, Vol. 19 (1999), n. 4, pp. 523-546.

· P. Cannarsa and C. Pignotti,
"Optimal control with state constraints: a semiconcavity result",
in "Proceedings of the 38th Conference on Decision and Control", IEEE, New York (1999), pp. 436-441.

· L. Fatone, C. Pignotti, M. C. Recchioni, and F. Zirilli,
"Time harmonic electromagnetic scattering from a bounded obstacle: an existence theorem and a computational method",
Journal of Mathematical Physics, Vol.40 (1999), n. 10, pp. 4859-4887.

· L. Fatone, P. Maponi, C. Pignotti, and F. Zirilli,
"An Inverse Problem for the Two-Dimensional Wave Equation in a Stratified Medium",
in "Inverse Problems of Wave Propagation and Diffraction", Lecture Notes in Physics, Springer, Berlin, Vol.486 (1997), pp. 263-274.