G. Gilardi, A. Signori, J. Sprekels: Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth Discrete Contin. Dyn. Syst. Ser. S 16 (2023) 3552-3572.
G. Gilardi, E. Rocca, A. Signori: Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions Discrete Contin. Dyn. Syst. Ser. S 16 (2023) 3573-3605.
P. Colli, G. Gilardi, A. Signori, J. Sprekels: Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential Ann. Acad. Rom. Sci. Ser. Math. Appl. 15 (2023) 175-204. download download
P. Colli, G. Gilardi, A. Signori, J. Sprekels: Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential Discrete Contin. Dyn. Syst. Ser. S. 16 (2023) published online. download download
P. Colli, G. Gilardi, A. Signori, J. Sprekels: Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term Appl. Math. Opt. (2023) published online. download download
F. Auricchio, P. Colli, G. Gilardi, A. Reali, E, Rocca: Well-posedness for a diffusion-reaction compartmental model simulating the spread of COVID-19 Math. Methods Appl. Sci. 46 (2023) 12529-12548. download
P. Colli, G. Gilardi, E. Rocca, J. Sprekels: Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term Discrete Contin. Dyn. Syst. Ser. S 15 (2022) 2135-2172. download download
P. Colli, G. Gilardi, J. Sprekels: Optimal control of a phase field system of Caginalp type with fractional operators Pure Appl. Functional Anal. 7 (2022) 1597-1635. download
P. Colli, G. Gilardi, J. Sprekels: Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities Rend. Lincei Mat. Appl. 33 (2022) 193-228. download
P. Colli, G. Gilardi, G. Marinoschi: Solvability and sliding mode control for the viscous Cahn-Hilliard system with a possibly singular potential Math. Control Relat. Fields 11 (2021) 905-934. download
P. Colli, G. Gilardi, J. Sprekels: An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators J. Evol. Equ. 21 (2021) 2749-2778. download download
P. Colli, G. Gilardi, J. Sprekels: Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials Discrete Contin. Dyn. Syst. Ser. S 14 (2021) 243-271. download download
P. Colli, G. Gilardi, J. Sprekels: Longtime behavior for a generalized Cahn-Hilliard system with fractional operators Atti Accad. Pelorit. Pericol., Cl. Sci. Fis. Mat. Nat. 98 No. S2, A4 (2020) [18 pages]. download download
P. Colli, G. Gilardi, J. Sprekels: Asymptotic analysis of a tumor growth model with fractional operators Asymptot. Anal. 120 (2020) 41-72. download
P. Colli, G. Gilardi, J. Sprekels: Optimal distributed control of a generalized fractional Cahn-Hilliard system Appl. Math. Optim. 82 (2020) 551-589. download
P. Colli, G. Gilardi, J. Sprekels: Well-posedness and regularity for a fractional tumor growth model Adv. Math. Sci. Appl. 28 (2020) 343-375. download
P. Colli, G. Gilardi, G. Marinoschi, E. Rocca: Sliding mode control for phase field system related to tumor growth Appl. Math. Optim. 79 (2019) 647-670. download
P. Colli, G. Gilardi: Well-posedness, regularity and asymptotic analyses for a fractional phase field system Asymptot. Anal. 114 (2019) 93-128. download
P. Colli, G. Gilardi, J. Sprekels: Well-posedness and regularity for a generalized fractional Cahn-Hilliard system Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019) 437-478. download download
P. Colli, G. Gilardi, J. Sprekels: Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials Journal of Convex Analysis 26 (2019) 485-514. download
G. Gilardi, J. Sprekels: Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions Nonlinear Analysis 178 (2019) 1-31. download download
P. Colli, G. Gilardi, J. Sprekels: Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach J. Convex Analysis 26 (2019) 485-514. download download
P. Colli, G. Gilardi, G. Marinoschi, E. Rocca: Optimal control for a conserved phase field system with a possibly singular potential Evol. Equ. Control Theory 7 (2018) 95-116. download
P. Colli, G. Gilardi, J. Sprekels: On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions J. Elliptic Parabol. Equ. 4 (2018) 327-347. download download
P. Colli, G. Gilardi, J. Sprekels: Optimal distributed control of a generalized fractional Cahn-Hilliard system J. Appl. Math. Optim., published online, 15 November 2018. download download
P. Colli, G. Gilardi, J. Sprekels: Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions SIAM J. Control Optim. 56 (2018) 1665-1691. download download
P. Colli, G. Gilardi, J. Sprekels: On a Cahn--Hilliard system with convection and dynamic boundary conditions Ann. Mat. Pura Appl. 197 (2018) 1445-1475. download download
P. Colli, G. Gilardi, J. Sprekels: Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition Nonlinear Analysis 170 (2018) 171-196. download download
V. Barbu, P. Colli, G. Gilardi, G. Marinoschi, E. Rocca: Sliding mode control for a nonlinear phase-field system SIAM J. Control Optim. 55 (2017) 2108-2133. download download
P. Colli, G. Gilardi, J. Sprekels: Global existence for a nonstandard viscous Cahn--Hilliard system with dynamic boundary condition SIAM J. Math. Anal. 49 (2017) 1732-1760. download download
P. Colli, G. Gilardi, E. Rocca, J. Sprekels: Optimal distributed control of a diffuse interface model of tumor growth Nonlinearity 30 (2017) 2518-2546. download
P. Colli, G. Gilardi, J. Sprekels: Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential Evol. Equ. Control Theory 6 (2017) 35-58. download
V. Barbu, P. Colli, G. Gilardi, G. Marinoschi: Feedback stabilization of the Cahn-Hilliard type system for phase separation J. Differential Equations 262 (2017) 2286-2334. download
P. Colli, G. Gilardi, J. Sprekels: Distributed optimal control of a nonstandard nonlocal phase field system AIMS Math. 1 (2016) 246-281. download
P. Colli, G. Gilardi, J. Sprekels: Constrained evolution for a quasilinear parabolic equation J. Optim. Theory Appl. 170 (2016) 713-734. download
P. Colli, G. Gilardi, J. Sprekels: A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions Appl. Math. Optim. 73 (2016) 195-225. download
P. Colli, G. Gilardi, J. Sprekels: On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation J. Differential Equations 260 (2016) 7940-7964. download
P. Colli, G. Gilardi, G. Marinoschi, E. Rocca: Optimal control for a phase field system with a possibly singular potential Math. Control Relat. Fields (MCRF) 6 (2016) 95-112. download
P. Colli, G. Gilardi, G. Marinoschi: A boundary control problem for a possibly singular phase field system with dynamic boundary conditions J. Appl. Math. Anal. Appl. 434 (2016) 432-463. download
E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi: Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys Arch. Ration. Mech. Anal. 219 (2016) 203-254. download
P. Colli, G. Gilardi, E. Rocca, J. Sprekels: Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth Nonlinear Anal. Real World Appl. 26 (2015) 93-108. download
P. Colli, G. Gilardi, J. Sprekels: A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions Adv. Nonlinear Anal. 4 (2015), 311-325. download download
P. Colli, M.H. Farshbaf-Shaker, G. Gilardi, J. Sprekels: Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition Ann. Acad. Rom. Sci. Ser. Math. Appl. 7 (2015) 41-66. download download
P. Colli, M.H. Farshbaf-Shaker, G. Gilardi, J. Sprekels: Optimal boundary control of a viscous Cahn--Hilliard system with dynamic boundary condition and double obstacle potentials SIAM J. Control Optim. 53-4 (2015) 2696-2721. download download
Colli P., Gilardi G, Hilhorst, D.: On a Cahn-Hilliard type phase field system related to tumor growth Discrete Contin. Dyn. Syst. Ser. A35 (2015) 2423-2442. download
E. Bonetti, P. Colli, G. Gilardi: Singular limit of an integrodifferential system related to the entropy balance Discrete Contin. Dyn. Syst. Ser. B19 (2014) 1935-1953. download
P. Colli, G. Gilardi, P. Krejčí, P. Podio-Guidugli, J. Sprekels: Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system ESAIM Math. Model. Numer. Anal. 48 (2014) 1061-1087. download
P. Colli, G. Gilardi, P. Krejčí, J. Sprekels: A continuous dependence result for a nonstandard system of phase field equations Math. Methods Appl. Sci. 37 (2014) 1318-1324. download
P. Colli, G. Gilardi, P. Krejčí, J. Sprekels: A vanishing diffusion limit in a nonstandard system of phase field equations Evol. Equ. Control Theory 3 (2014) 257-275. download
P. Colli, G. Gilardi, J. Sprekels: On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential J. Math. Anal. Appl. 419 (2014) 972-994. download
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity J. Differential Equations 254 (2013) 4217-4244. download
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity Discrete Contin. Dyn. Syst. Ser. S 6 (2013) 353-368. download
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: Distributed optimal control of a nonstandard system of phase field equations Contin. Mech. Thermodyn. 24 (2012) 437-459. download
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: Global existence for a strongly coupled Cahn-Hilliard system with viscosity Boll. Unione Mat. Ital. (9) 5 (2012) 495-513. download download
P. Colli, G. Gilardi, J. Sprekels: Analysis and optimal boundary control of a nonstandard system of phase field equations Milan J. Math 80 (2012) 119-149. download
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: Well-posedness and long-time behaviour for a nonstandard viscous Cahn-Hilliard system SIAM J. Appl. Math. 71 (2011) 1849-1870. download
G. Gilardi, A. Miranville, G. Schimperna: Long-time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions Chinese Annals of Mathematics Series B 31 (2010) 679-712.
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: A temperature-dependent phase segregation problem of the Allen-Cahn type Adv. Math. Sci. Appl. 20 (2010) 219-234.
P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels: Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type Math. Models Methods Appl. Sci. 20 (2010) 519-541.
G. Gilardi, A. Miranville, G. Schimperna: On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions Commun. Pure Appl. Anal. 8 (2009) 881-912. download
G. Gilardi, U. Stefanelli: Existence for a doubly nonlinear Volterra equation J. Math. Anal. Appl. 333 (2007) 839-862. download
G. Gilardi, E. Rocca: Well posedness and long time behaviour for a singular phase field system of conserved type IMA J. Appl. Math. 72 (2007) 498-530.
E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi: Global solution to a singular integrodifferential system related to the entropy balance Nonlinear Anal. 66 (2007) 1949-1979. download
G. Gilardi, U. Stefanelli: Time-discretization and global solution for a doubly nonlinear Volterra equation J. Differential Equations 228 (2006) 707-736. download
E. Bonetti, P. Colli, M. Fabrizio, G. Gilardi: Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 1001-1026 (electronic). download
G. Gilardi, A. Marson: On a Penrose-Fife type system with Dirichlet boundary conditions for temperature Math. Methods Appl. Sci. 26 n. 15 (2003) 1303-1325. download
E. Bonetti, P. Colli, W. Dreyer, G. Gilardi, G. Schimperna, J. Sprekels: On a model for phase separation in binary alloys driven by mechanical effects Physica D 165 (2002) 48-65. download
V. Barbu, M.L. Bernardi, P. Colli, G. Gilardi: Optimal control problems of phase relaxation models J. Optim. Theory Appl. 109 (2001) 557-585.
P. Colli, G. Gilardi, M. Grasselli, G. Schimperna: The conserved phase-field system with memory Advances Math. Sci. Appl. 11 (2001) 265-291.
V. Barbu, P. Colli, G. Gilardi, M. Grasselli: Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation Differential Integral Equations, 13 (2000) 1233-1262.
G. Gilardi, P. Krejčí, J. Sprekels: A hysteresis approach to phase-field models with thermal memory Math. Methods Appl. Sci., 23 (2000) 909-922.
P. Colli, G. Gilardi, P. Laurençot, A. Novick-Cohen: Uniqueness and long-time behaviour for the conserved phase-field system with memory Discrete Contin. Dynam. Systems, 5 (1999) 375-390.
G. Geymonat, G. Gilardi: Contre-éxemples a l'inégalité de Korn et au lemme de Lions dans les domaines irréguliers in Équations aux dérivées partielles et applications, Articles dédiés a Jacques-Louis Lions, 541-548, Gauthier-Villars, Paris, 1998.
P. Colli, G. Gilardi, M. Grasselli: Global smooth solution to the standard phase-field model with memory Advances in Differential Equations, 2 (1997) 453-486.
P. Colli, G. Gilardi, M. Grasselli: Well-posedness of the weak formulation for the phase-field model with memory Advances in Differential Equations, 2 (1997) 487-508.
P. Fernandes, G. Gilardi: Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions M 3AS Math. Models Methods Appl. Sci., 7 (1997) 957-991.
G. Gilardi, S. Luckhaus: A regularity result for the solution of the dam problem Nonlinear Analysis TMA, 26 (1996) 113-138.
J. Carrillo, J.I. Díaz, G. Gilardi: The propagation of the free boundary of the solution in the dam problem and related problems Applicable Analysis, 49 (1993) 255-276.
H.W. Alt, G. Gilardi: The behaviour of the free boundary for the dam problem Ann. Sc. Norm. Sup. Pisa (IV) IX (1981) 571-626.
L.A. Caffarelli, G. Gilardi: Monotonicity of the free boundary in the two-dimensional dam problem Ann. Sc. Norm. Sup. Pisa (IV) VII (1980) 523-537.
G. Gilardi: A new approach to evolution free boundary problems Comm. on Partial Diff. Equations, 4 (1979) 1099-1123.
G. Gilardi: Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni Ann. Mat. Pura Appl. (IV) CXIII (1977) 1-17.
G. Gilardi: Teoremi di regolarità per la soluzione di un'equazione differenziale astratta del secondo ordine Ist. Lombardo Accad. Sci. Lett. Rend. A 106 (1972) 641-675.