Francesca Bucci

Publications

Under preparation

Journal articles, book chapters, postprints

(subject to peer-review)
  1. P. Acquistapace and F. Bucci, Riccati-based solution to the optimal control of linear evolution equations with finite memory, Evol. Equ. Control Theory (Early access: July 2023); DOI: 10.3934/eect.2023035

  2. P. Acquistapace and F. Bucci, Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations, Ann. Mat. Pura Appl., 202 (2023), 1611-1642; DOI https://doi.org/10.1007/s10231-022-01295-7; see also arXiv:2012.05670

  3. P. Acquistapace and F. Bucci, On the infinitesimal generator of an optimal state semigroup, Semigroup Forum 105 (2022), 46-72; DOI https://doi.org/10.1007/s00233-022-10288-0 (Open Access)

  4. F. Bucci and M. Eller, The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation, C. R. Math. Acad. Sci. Paris 359 (2021), no. 7, 881-903; DOI: 10.5802/crmath.231

  5. F. Bucci, Improved boundary regularity for a Stokes-Lamé system, Evol. Equ. Control Theory 11 (2022), no. 1, 325-346; DOI: 10.3934/eect.2021018 (Online first April 2021).

  6. F. Bucci and L. Pandolfi, On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory, J. Evol. Equ. 20 (2020), 837-867 (published online: 19 Nov. 2019). DOI https://doi.org/10.1007/s00028-019-00549-x

  7. F. Bucci and I. Lasiecka, Feedback control of the acoustic pressure in ultrasonic wave propagation, Optimization 68 (2019), no. 10, 1811-1854 (published online: 19 Aug. 2018). DOI 10.1080/02331934.2018.1504051

  8. G. Avalos and F. Bucci, Rational rates of uniform decay for strong solutions to a fluid-structure PDE system, J. Differential Equations 258 (2015), no. 12, 4398-4423.

  9. G. Avalos and F. Bucci, Exponential decay properties of a mathematical model for a certain fluid-structure interaction, in: New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Favini A., Fragnelli G. and Mininni R. (Eds.), Springer INdAM Series Vol. 10, 45-73, Springer Verlag, 2014, XII, 471 p. 37 illus.

  10. P. Acquistapace, F. Bucci and I. Lasiecka, A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control, SIAM J. Math. Anal. 45 (2013), no. 3, 1825-1870.

  11. F. Bucci and I. Lasiecka, Regularity of boundary traces for a fluid-solid interaction model, Discrete Contin. Dyn. Syst. Ser. S 4 (2011), no. 3, 505-521.

  12. F. Bucci and D. Toundykov, Finite dimensional attractor for a composite system of wave/plate equations with localised damping, Nonlinearity 23 (2010), no. 9, 2271-2306.

  13. F. Bucci and I. Lasiecka, Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions, Calc. Var. Partial Differential Equations 37 (2010), no. 1-2, 217-235.

  14. F. Bucci, Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results, Appl. Math. 35 (2008), no. 3, 305-321.

  15. F. Bucci and I. Chueshov, Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations, Discrete Contin. Dyn. Syst. Series A 22 (2008), no. 3, 557-586.

  16. F. Bucci, Control-theoretic properties of structural acoustic models with thermal effects, I. Singular estimates, J. Evol. Equ. 7 (2007), no. 3, 387-414.

  17. F. Bucci, I. Chueshov and I. Lasiecka, Global attractor for a composite system of nonlinear wave and plate equations, Commun. Pure Appl. Anal. 6 (2007), no. 1, 113-140.

  18. P. Acquistapace, F. Bucci and I. Lasiecka, Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs, Adv. Differential Equations 10 (2005), no. 12, 1389-1436.

  19. P. Acquistapace, F. Bucci and I. Lasiecka, A trace regularity result for thermoelastic equations with application to optimal boundary control, J. Math. Anal. Appl. 310 (2005), no. 1, 262-277.

  20. F. Bucci and I. Lasiecka, Singular estimates and Riccati theory for thermoelastic plate models with boundary thermal control, Dyn. Contin. Discrete Impuls. Syst., Ser. A: Math. Anal. 11 (2004), no. 4, 545-568.

  21. F. Bucci, Uniform decay rates of solutions to a system of coupled PDEs with nonlinear internal dissipation, Differential Integral Equations 16 (2003), no. 7, 865-896.

  22. F. Bucci, Uniform stability of a coupled system of hyperbolic/parabolic PDEs with internal dissipation, in: Analysis and Optimization of Differential Systems (Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (Eds.)), 57-68, Kluwer Academic Publishers, Boston/Dordrecht/London, 2003.

  23. F. Bucci and I. Lasiecka, Exponential decay rates for structural acoustic model with an overdamping on the interface and boundary layer dissipation, Appl. Anal. 81 (2002), no. 4, 977-999.

  24. F. Bucci, I. Lasiecka and R. Triggiani, Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs, Abstr. Appl. Anal. 7 (2002), no. 4, 169-236.

  25. F. Bucci and L. Pandolfi, The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case, Systems Control Lett. 39 (2000), n. 2, 79-86.

  26. F. Bucci, Frequency domain stability of nonlinear feedback systems with unbounded input operator, Dyn. Contin. Discrete Impuls. Syst., Ser. A: Math. Anal. 7 (2000), no. 3, 351-368.

  27. F. Bucci, Stability of holomorphic semigroup systems under nonlinear boundary perturbations, in: "Optimal Control of Partial Differential Equations" (Hoffman, K.-H., Leugering, G., Tröltzsch, F. (Eds.)), 63-76, International Series of Numerical Mathematics 133 (1999), Birkhauser Verlag Basel.

  28. F. Bucci, The non-standard LQR problem for boundary control systems, Rend. Sem. Mat. Univ. e Politec. Torino 56 (1998), no. 4, 105-114.

  29. F. Bucci, Absolute stability of feedback systems in Hilbert spaces, in: Optimal Control: Theory, Algorithms, and Applications (Hager, W.W., Pardalos, P.M., (Eds.)), 24-39, Appl. Optim. 15, Kluwer Acad. Publ., Dordrecht, 1998.

  30. F. Bucci and L. Pandolfi, The value function of the singular quadratic regulator problem with distributed control action, SIAM J. Control Optimiz. 36 (1998), no. 1, 115-136.

  31. F. Bucci, A remark on regularization of the wave equation with boundary input, in: Partial Differential Equation Methods in Control and Shape Analysis (Da Prato, G., Zolesio, J.P. (Eds.)), 53-62, Lect. Notes Pure Appl. Math. 188 (1997), Marcel Dekker Inc., New York.

  32. F. Bucci and L. Pandolfi, Finite horizon regulator problem: the non-standard case, in: Modelling and Optimization of Distributed Parameter Systems Applications to engineering (Malanowski, K., Nahorski, Z., Peszynska, M. (Eds.)), 131-138, IFIP Advances in Information and Communication Technology, Chapman & Hall, New York, 1996.

  33. F. Bucci, Regularization and approximation of the wave equation with boundary input: an abstract approach, Dynamic Syst. Appl. 3 (1994), no. 4, 453-464.

  34. F. Bucci, A hyperbolic problem with boundary control: a solution through parabolic regularization, in: Control of Partial Differential Equations (Da Prato, G., Tubaro, L. (Eds.)), 23-35, Lect. Notes Pure Appl. Math. 165 (1994), Marcel Dekker, Inc., New York.

  35. F. Bucci, Singular perturbation for controlled wave equations, J. Math. Syst. Estim. Control 6 (1996), n. 2, 135-149 (Summary published in Vol. 4 (1994), no. 3).

  36. F. Bucci, A Dirichlet boundary control problem for the strongly damped wave equation, SIAM J. Control Optim. 30 (1992), no. 5, 1092-1100.

  37. F. Bucci and G. Villari, Phase portrait of the system x'=y, y'=F(x,y), Boll. UMI 4-B (1990), no. 7, 265-274.

  38. F. Bucci, On the existence of periodic solutions for the generalized Lienard equation, Boll. UMI 3-B (1989), no. 7, 155-168.

Further publications

Chapters of books Edited