Papers and Lecture Notes

Contents

Preprints

  1. S. Cerrai & A. Lunardi
    Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension
    arXiv:2111.05421

  2. Alessandra Lunardi
    Time regularity for generalized Mehler semigroups
    arXiv:2012.12797
    To appear in Math. Nachr.

Monographs

  1. A. Lunardi
    Interpolation Theory. Second Edition.
    Edizioni della Normale, Pisa, 2009. xiv+191 pp. (distributed by Birkhäuser Verlag, Basel).
    Third edition. Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) [Lecture Notes. Scuola Normale Superiore di Pisa (New Series)], 16. Edizioni della Normale, Pisa, 2018.

  2. A. Lunardi
    Analytic semigroups and optimal regularity in parabolic problems.
    Birkhäuser Verlag, Basel (1995). xviii+424 pp.
    2013 reprint of the 1995 original, Modern Birkhäuser Classics. Birkhäuser/Springer Basel AG, Basel, 1995. xviii+424 pp.

Papers on journals

  1. A. Lunardi & M. Röckner
    Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
    J. London Math. Soc. (2021)
    Online

  2. Alessandra Lunardi & Diego Pallara
    Ornstein-Uhlenbeck semigroups in infinite dimension
    Phil. Trans. R. Soc. A 378 20190620. (2020)

  3. Alessandra Lunardi, Giorgio Metafune & Diego Pallara
    The Ornstein-Uhlenbeck semigroup in finite dimension
    Phil. Trans. R. Soc. A 378 20200217. (2020)

  4. Giuseppe Da Prato & Alessandra Lunardi
    BV functions in Hilbert spaces
    Math. Ann. 381 (2021), no. 3-4, 1653-1722.
    Online

  5. Giuseppe Da Prato, Alessandra Lunardi & Luciano Tubaro
    On the law of the minimum of the solutions to a class of unidimensional SDEs
    Milan J. Math. 87 (2019), no. 1, 93–104.

  6. Sandra Cerrai & Alessandra Lunardi
    Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
    J. Differential Equations 267 (2019), 7462–7482.

  7. G. Da Prato, A. Lunardi & L. Tubaro
    Malliavin Calculus for non Gaussian differentiable measures and surface measures in Hilbert spaces
    Trans. Amer. Math. Soc. 370 (2018), no. 8, 5795–5842.

  8. S. Cerrai & A. Lunardi
    Averaging principle for non autonomous slow-fast systems of stochastic RDEs: the almost periodic case
    SIAM J. Math. Anal. 49 (2017), no. 4, 2843–2884.

  9. L. Lorenzi, A. Lunardi & R. Schnaubelt
    Strong convergence of solutions to nonautonomous Kolmogorov equations
    Proc. Amer. Math. Soc. 144 (2016), no. 9, 3903–3917.

  10. A. Lunardi, M. Miranda jr. & D. Pallara
    BV functions on convex domains in Wiener spaces
    Potential Analysis 43 (2015), 23–48.

  11. G. Da Prato & A. Lunardi
    Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains
    Ann. Inst. H. Poincaré, Probab. Stat. 51 (2015), 1102–1123.

  12. L. Angiuli & A. Lunardi
    Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part
    Nonlinear Analysis TMA 125 (2015), 468–497.

  13. G. Da Prato, A. Lunardi & L. Tubaro
    Surface measures in infinite dimension
    Rend. Lincei Mat. Appl. 25 (2014), 1–22.

  14. G. Da Prato & A. Lunardi
    Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
    Annals of Probability 42 (2014), 2113–2160.

  15. P. Celada & A. Lunardi
    Traces of Sobolev functions on regular surfaces in infinite dimensions
    J. Funct. Anal. 266 (2014), no. 4, 1948–1987.

  16. L. Angiuli, L. Lorenzi & A. Lunardi
    Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations
    Comm. Partial Differential Equations 38 (2013), no. 12, 2049–2080.

  17. G. Da Prato & A. Lunardi
    Maximal L2 regularity for Dirichlet problems in Hilbert spaces
    J. Math. Pures Appl. 99 (2013), 741-765.

  18. V. Caselles, A. Lunardi, M. Miranda Jr & M. Novaga
    Perimeter of sublevel sets in infinite dimensional spaces
    Adv. Calc. Var. 5 (2012), no. 1, 59-76.

  19. L. Lorenzi, A. Lunardi & A. Zamboni
    Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
    J. Differential Equations 249 (2010), 3377-3418.

  20. G. Da Prato & A. Lunardi
    On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces
    J. Funct. Anal. 259 (2010), 2642-2672.

  21. G. Da Prato & A. Lunardi
    Ultraboundedness for parabolic equations in convex domains without boundary conditions
    Physica D 239 (2010), 1453-1457.

  22. M. Kunze, L. Lorenzi & A. Lunardi
    Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
    Trans. Amer. Math. Soc. 362 (2010), no. 1, 169-198.

  23. M. Geissert & A. Lunardi
    Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations.
    J. Lond. Math. Soc. (2) 79 (2009), no. 1, 85-106.

  24. G. Da Prato & A. Lunardi
    On a class of elliptic and parabolic equations in convex domains without boundary conditions.
    Discr. Cont. Dyn. Systems. Ser. A. 22 (2008), 933-953.

  25. M. Geissert & A. Lunardi
    Invariant Measures and Maximal L2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations.
    J. Lond. Math. Soc. (2) 77 (2008), no. 3, 719-740.

  26. C.-M. Brauner, M. Frankel, J. Hulshof, A. Lunardi, G. Sivashinsky
    On the kappa-theta model of cellular flames: existence in the large and asymptotics
    Discr. Cont. Dyn. Syst. Series S, 1 (2008), 27-39.

  27. G. Da Prato & A. Lunardi
    Ornstein-Uhlenbeck operators with time periodic coefficients
    J. Evol. Equ. 7 (2007), 587-614.

  28. G. Da Prato & A. Lunardi
    On a class of degenerate elliptic operators in L1 spaces with respect to invariant measures
    Math. Z. 256 (2007), 509-520.

  29. G. Da Prato & A. Lunardi
    On a class of self-adjoint elliptic operators in L2 spaces with respect to invariant measures
    J. Diff. Eqns. 234 (2007), 54-79.

  30. L. Lorenzi & A. Lunardi
    Elliptic operators with unbounded diffusion coefficients in L2 spaces with respect to invariant measures
    J. Evol. Equ. 6 (2006), 691-709.

  31. B. Farkas & A. Lunardi
    Maximal regularity for Kolmogorov operators in L2 spaces with respect to invariant measures
    J. Math. Pures Appl. 86 (2006), 310-321.

  32. G. Da Prato & A. Lunardi
    Kolmogorov operators of Hamiltonian systems perturbed by noise
    In “Partial Differential Equations and Functional Analysis (The Philippe Clément Festschrift)”, 61-71, Oper. Theory Adv. Appl., 168, Birkhäuser, Basel, 2006.

  33. G. Da Prato & A. Lunardi
    Maximal dissipativity of class of elliptic degenerate operators in weighted L2 spaces
    Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 4, 751-760.

  34. J.B. van den Berg, C.-M.Brauner, J. Hulshof & A. Lunardi
    The speed law for highly radiative flames in a gaseous mixture with large activation energy
    SIAM J. Appl. Math. 66 (2005), no. 2, 408-432.

  35. D. Di Giorgio, A. Lunardi & R. Schnaubelt
    Optimal regularity and Fredholm properties of abstract parabolic operators in Lp spaces on the real line
    Proc. London Math. Soc. 91 (2005), no. 3, 703-737.

  36. A. Lunardi, G. Metafune & D. Pallara
    Dirichlet boundary conditions for elliptic operators with unbounded drift
    Proc. Amer. Math. Soc. 133 (2005), no. 9, 2625-2635.
    Erratum, Proc. Amer. Math. Soc. 134 (2006), no. 8, 2479-2480.

  37. D. Di Giorgio & A. Lunardi
    On Fredholm properties of Lu = u'-A(t)u(t) for paths of sectorial operators
    Proc. Royal Soc. Edinb. 135 A (2005), 39-59.

  38. G. Guatteri & A. Lunardi
    Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems
    Adv. Differential Equations 10 (2005), no. 1, 65-88.

  39. G. Da Prato & A. Lunardi
    On a class of elliptic operators with unbounded coefficients in convex domains
    Rend. Mat. Acc. Naz. Lincei, Serie 9, 15 (2004), 315-326.

  40. A. Lunardi & G. Metafune
    On the domains of elliptic operators in L1
    Differential Integral Equations 17 (2004), no. 1-2, 73-97.

  41. O. Baconneau & A. Lunardi
    Smooth solutions to a class of free boundary parabolic problems
    Trans. Amer. Math. Soc. 356 (2004), no. 3, 987-1005.

  42. G. Da Prato & A. Lunardi
    Elliptic operators with unbounded drift coefficients and Neumann boundary condition
    J. Diff. Eqns. 198 (2004), 35-52.

  43. L. Lorenzi & A. Lunardi
    Stability in a two-dimensional free boundary combustion model
    Nonlinear Analysis T.M.A. 53 (2003), 227-276.
    Erratum “Stability in a two-dimensional free boundary combustion model” [Nonlinear Anal. 53 (2003) 227-276], Nonlinear Analysis 53 (2003), 859-860.

  44. C.-M. Brauner & A. Lunardi
    Bifurcation of nonplanar travelling waves in a free boundary problem
    Nonlinear Analysis T.M.A. 44 (2001), 247-261.

  45. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Stability analysis in a multidimensional interface problem
    Nonlinear Analysis T.M.A. 44 (2001), 263-280.

  46. C.-M. Brauner, J. Hulshof & A. Lunardi
    A critical case of stability in a free boundary problem
    Journal of Evolution Equations 1 (2001), 85-113.

  47. C.-M. Brauner & A. Lunardi
    Instabilities in a combustion model with free boundary in R2
    Archive for Rational Mechanics and Anaysis 154 (2000), 157-182.

  48. C.-M. Brauner, O. Baconneau & A. Lunardi
    Computation of bifurcated branches in a free boundary problem arising in combustion theory
    Mathematical Modelling and Numerical Analysis 34 (2000), 223-239.

  49. C.-M. Brauner, J. Hulshof & A. Lunardi
    A general approach to stability in free boundary problems
    Journal of Differential Equations 164 (2000), 16-48.

  50. A. Lunardi
    Optimal Ws,p regularity in parabolic problems
    Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 10 (1999), 25-34.

  51. A. Lunardi
    Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in Rn,
    Studia Mathematica 128 (1998), 171-198.

  52. G. Da Prato & A. Lunardi
    Maximal regularity for stochastic convolutions in Lp spaces
    Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 9 (1998), 25-29.

  53. A. Lunardi
    Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in Rn
    Annali della Scuola Normale Superiore, Pisa, Ser. IV 24 (1997), 133-164.

  54. A. Lunardi
    On the Ornstein-Uhlenbeck operator in L2 spaces with respect to invariant measures
    Transactions of the American Mathematical Society 349 (1997), 155-169.

  55. A. Lunardi & V. Vespri
    Generation of strongly continuous semigroups by elliptic operators with unbounded coefficents in Lp(Rn),
    Rend. Istit. Mat. Univ. Trieste 28 (1997), Special issue dedicated to the memory of Pierre Grisvard, 251-279.

  56. A. Lunardi
    An interpolation method to characterize domains of generators of semigroups
    Semigroup Forum 53 (1996), 321-329.

  57. A. Lunardi
    Stability in fully nonlinear parabolic equations
    Archive for Rational Mechanics and Analysis 130 (1995), 1-24.

  58. G. Da Prato & A. Lunardi
    On the Ornstein-Uhlenbeck operator in spaces of continuous functions
    Journal of Functional Analysis 131 (1995), 94-114.

  59. A. Lunardi
    A unified approach to semilinear parabolic problems
    Dynamic Systems and Applications 4 (1995), 103-123.

  60. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Multidimensional stability analysis of planar travelling waves
    Applied Mathematics Letters 7 (1994), 1-4.

  61. F. Alabau & A. Lunardi
    Behavior near the travelling wave solution of a free boundary system in Combustion Theory,
    Dynamic Systems and Applications 1 (1992), 391-418.

  62. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Stability of travelling waves with interface conditions
    Nonlinear Analysis T.M.A. 19 (1992), 465-484.

  63. A. Lunardi
    On a class of fully nonlinear parabolic equations
    Communications in Partial Differential Equations 16 (1991), 146-172.

  64. A. Lunardi & V. Vespri
    Hölder regularity in variational parabolic nonhomogeneous equations
    Journal of Differential Equations 94 (1991), 1-41.

  65. G. Da Prato & A. Lunardi
    Floquet exponents and stabilizability of time periodic parabolic systems
    Applied Mathematics & Optimization 22 (1990), 91-113.

  66. A. Lunardi, E. Sinestrari & W. Von Wahl
    A semigroup approach to the time dependent initial boundary value problem
    Differential and Integral Equations 5 (1992), 1275-1306.

  67. G. Da Prato & A. Lunardi
    Stabilizability of integrodifferential parabolic equations
    Journal of Integral Equations and Applications  2 (1990), 281-304.

  68. A. Lunardi
    Stabilizability of time periodic parabolic equations
    SIAM Journal on Control & Optimization 29 (1991), 810-828.

  69. A. Lunardi
    Differentiability with respect to (t,s) of the parabolic evolution operator
    Israel Journal of Mathematics 68 (1989), 161-184.

  70. A. Lorenzi & A. Lunardi
    An identification problem in the theory of heat conduction, 
    Differential and Integral Equations 3 (1990), 238-252.

  71. A. Lunardi
    On the linear heat equation with memory
    SIAM Journal on Mathematical Analysis 21 (1990), 1213-1224.

  72. A. Lunardi
    Maximal space regularity in nonhomogeneous initial boundary value parabolic problems
    Numerical Functional Analysis and Optimization 10 (1989), 323-360.

  73. G. Da Prato & A. Lunardi
    Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type
    Annali di Matematica Pura ed Applicata (IV) 150 (1988), 67-118.

  74. A. Lunardi
    Stability of the periodic solutions to fully nonlinear equations in Banach space
    Differential and Integral Equations 1 (1988), 253-279.

  75. A. Lunardi
    Bounded solutions of linear periodic abstract parabolic equations,
    Proceedings of the Royal Society of Edinburgh, 110A (1988), 136-159.

  76. G. Da Prato & A. Lunardi
    Stability, Instability and Center Manifold Theorem for Fully Nonlinear Abstract Parabolic Equations in Banach Space
    Archive for Rational Mechanics and Analysis 101 (1988), 115-142.

  77. A. Lunardi
    Regular solutions for time dependent abstract integrodifferential equations with singular kernel
    Journal of Mathematical Analysis and Applications 130 (1988), 1-21.

  78. A. Lunardi
    On the evolution operator for abstract parabolic equations
    Israel Journal of Mathematics 60 (1987), 281-314.

  79. A. Lunardi
    Local stability results for the elastic beam equation
    SIAM Journal on Mathematical Analysis 18 (1987), 1352-1376.

  80. G. Da Prato & A. Lunardi
    Hopf bifurcation for nonlinear integrodifferential equations in Banach space with infinite delay
    Indiana University Mathematics Journal 37 (1987), 242-255.

  81. A. Lunardi
    Time analyticity for solutions of nonlinear abstract parabolic evolution equations
    Journal of Functional Analysis 71 (1987), 294-308.

  82. A. Lunardi & E. Sinestrari
    Cα-regularity for non autonomous linear integrodifferential equations of parabolic type
    Journal of Differential Equations 63 (1986), 88-116.

  83. G. Da Prato & A. Lunardi
    Hopf bifurcation for fully nonlinear equations in Banach space,
    Annales Institute H. Poincaré, Analyse non Linèaire 3 (1986), 315-329.

  84. A. Lunardi
    Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations
    Mathematische Nachrichten 121 (1985), 296-318.

  85. A. Lunardi
    Global solutions of abstract quasilinear parabolic equations
    Journal of Differential Equations 58 (1985), 228-243.

  86. A. Lunardi & E. Sinestrari
    Fully nonlinear integrodifferential equations in general Banach space,
    Mathematische Zeitschrift 190 (1985), 225-249.

  87. A. Lunardi
    Asymptotic exponential stability in quasilinear parabolic equations,
    Nonlinear Analysis T.M.A. 9 (1985), 563-586.

  88. A. Lunardi
    Abstract quasilinear parabolic equations
    Mathematische Annalen 267 (1984), 405-425.

  89. A. Lunardi
    An extension of Schauder's Theorem to little-Hölder continuous functions
    Bollettino U.M.I., Sez. Analisi Funzionale e Applicazioni, Serie VI, 3-C (1984), 25-35.

  90. A. Lunardi
    Analyticity of the maximal solution of an abstract nonlinear parabolic equation
    Nonlinear Analysis T.M.A. 6 (1982), 503-521.

Contributions to books

  1. A. Lunardi
    Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in Rd
    in “Parabolic Problems. The Herbert Amann Festschrift”, Progress in Nonlinear Equations and Applications, vol. 60, 447-461, Birkhäuser Verlag, 2011.

  2. A. Lunardi
    Nonlinear parabolic equations and systems,
    Handbook of Differential Equations, edited by C.M. Dafermos, E. Feireisl. Evolutionary Equations, Volume 1, Chapter 5, Elsevier (2004), 385-436.

  3. A. Lunardi
    An introduction to parabolic moving boundary problems,
    in: Da Prato, G.; Kunstmann, P. C.; Lasiecka, I.; Lunardi, A.; Schnaubelt, R.; Weis, L. Functional analytic methods for evolution equations. Edited by M. Iannelli, R. Nagel and S. Piazzera. Lecture Notes in Mathematics, 1855. Springer-Verlag, Berlin, 2004

  4. A. Lunardi
    Regularity for a class of sums of noncommuting operators
    in: Topics in Nonlinear Analysis, The Herbert Amann Anniversary volume, J. Escher, G. Simonett Eds., Birkhäuser Verlag, Basel (1999), 517-533.

Announcements, reports, and proceedings of conferences

  1. A. Lunardi
    On a class of parabolic free boundary problems, in: “Nonlinear partial differential equations and their applications”, GAKUTO Internat. Ser. Math. Sci. Appl., 20, Gakkotosho, Tokyo (2004), 149-158.

  2. A. Lunardi
    On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity, in: “Evolution Equations, Semigroups and Functional Analysis. In memory of Brunello Terreni”, Progress in Nonlinear Differential Equations and Their Applications 50, Birkhäuser Verlag, Basel (2002), 263-277.

  3. C.-M. Brauner & A. Lunardi
    Instability of the free boundary in a two-dimensional combustion model, C.R.A.S. Paris 330 (2000), 77-81.

  4. A. Lunardi
    Problemi parabolici a frontiera libera, Bollettino U.M.I. (8) 1-B (2000), 11-29.

  5. C.-M. Brauner, J. Hulshof, A. Lunardi & Cl. Schmidt-Lainé
    Instabilities, bifurcation and sadde-points in some FBP's in combustion, in “Free Boundary Problems: Theory and Applications”, Herakleion (Crete), June 8-14, 1997; I. Athanasopoulos, G. Makrakis and J.F. Rodrigues, Eds., Chapman & Hall/CRC Research Notes in Math. 409, M. Dekker, New York (1999), 105-114.

  6. A. Lunardi & V. Vespri
    Optimal L∞ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients, in “Reaction-Diffusion Systems”, Trieste 1995, G. Caristi, E. Mitidieri Eds., Lect. Notes in Pure and Applied Math. 194, M. Dekker, New York (1997), 217-239.

  7. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Stability of travelling waves in combustion problems: a fully nonlinear approach, in “First World Congress of Nonlinear Analysts”, Tampa,  August 19-26, 1992, Proceedings, V. Lakshmikantham Editor, De Gruyter, Berlin (1996), 667-679.

  8. A. Lunardi
    Stability and local invariant manifolds in fully nonlinear parabolic equations, in “Semigroups of Operators and Applications”, Curaçao (August 10-14, 1992), Proceedings, G. & J. Goldstein Editors, Kluwer Academic Publishers, Dordrecht (1993), 185-203.

  9. A. Lunardi
    Stability of travelling waves in free boundary parabolic problems arising as combustion models, in “Partial Differential Equations”, Proceedings, J. Wiener and J.K. Hale Editors, Pitman Research Notes in Mathematics Series 273, Longman (1992), 106-110.

  10. A. Lunardi
    Stability of the travelling waves in a class of free boundary problems arising in combustion theory,  Proceedings of the I.F.I.P. Conference “Boundary Control and Boundary Variations”, October 15-17, 1990, J.-P. Zolesio Editor. Lecture Notes in Control and Information Sciences 178, Springer Verlag, Berlin (1992), 285-296.

  11. A. Lunardi
    Some regularity results for linear variational second order parabolic equations, in “Semigroup Theory and Evolution Equations”, P. Clément, B. De Pagter, E. Mitidieri Editors.  Lecture Notes in Pure and Applied Mathematics 136, M. Dekker, New York (1991), 357-369.

  12. A. Lunardi
    Neumann boundary stabilization of structurally damped wave and plate equations, in: “Differential Equations with Applications in Biology, Physics, and Engeneering”, J. Goldstein, F. Kappel, W. Schappacher Editors. Lecture Notes in Pure and Applied Mathematics 133, M. Dekker, New York (1991), 242-257.

  13. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Stabilité et instabilité des ondes stationnaires d'un problème de détonation à deux phases,  C.R.A.S. Paris 311 (1990), Série I, 697-700.

  14. C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
    Une nouvelle formulation de modèles de fronts en problèmes complétement non linéaires, C.R.A.S. Paris 311 (1990), Série I, 597-602.

  15. A. Lunardi
    Stabilizzabilità di equazioni paraboliche, Rendiconti del Seminario Matematico e Fisico di Milano 59 (1989), 25-36.

  16. A. Lunardi
    Existence in the small and in the large in fully nonlinear parabolic equations, in: “Proceedings of the International Conference on Theory and Applications of Differential Equations, Ohio University, 1988”, R. Aftabizadeh Editor. Ohio University Press, Athens (1989), 170-178.

  17. A. Lunardi
    On the local dynamical system associated to a fully nonlinear abstract parabolic equation, in: “Nonlinear Analysis and Applications”, V. Lakshmikantham Editor, Dekker, New York-Basel (1987), 319-326.

  18. G. Da Prato & A. Lunardi
    Periodic solutions for autonomous fully nonlinear equations in Banach spaces, in: “Nonlinear parabolic equations: qualitative properties of solutions”, L. Boccardo & A. Tesei (Editors), Pitman Research Notes in Mathematics Series 150 (1987), 68-71.

  19. A. Lunardi
    C∞ regularity for fully nonlinear abstract evolution equations, in: “Differential Equations in Banach Spaces - Proceedings of the Bologna Conference”, July 2-5, 1985, Lecture Notes in Mathematics 1123, Springer Verlag, Berlin (1986),  176-185.

  20. G. Da Prato & A. Lunardi
    Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces, in: “Differential Equations in Banach Spaces - Proceedings of the Bologna Conference”, July 2-5, 1985, Lecture Notes in Mathematics 1123, Springer Verlag, Berlin (1986), 50-60.

  21. A. Lunardi & E. Sinestrari
    Existence in the large and stability for nonlinear Volterra equations, Journal of Integral Equations, Special Conference Issue: Trento, 1984, “Integrodifferential Evolution Equations and Applications”. Guest Editors G. Da Prato, M. Iannelli, 10 (1985), 213-240.

  22. A. Lunardi
    Laplace transform methods in integrodifferential equations, Journal of Integral Equations, Special Conference Issue: Trento, 1984, “Integrodifferential Evolution Equations and Applications”. Guest Editors G. Da Prato, M. Iannelli, 10 (1985), 185-211.

  23. A. Lunardi
    Interpolation between spaces of continuous functions, in: “Trends in the Theory and Practice of Nonlinear Analysis”, V. Lakshmikantham Editor, Elsevier Science Publishers (1985), 287-294.

  24. A. Lunardi
    Characterization of some interpolation spaces (II), Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 72 (1982), 333-339.

  25. A. Lunardi
    Characterization of some interpolation spaces (I), Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 72 (1982), 19-24.

  26. A. Lunardi
    Analyticity of the maximal solution of an abstract parabolic equation, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 70 (1981), 1-6.

Lecture Notes

  1. A. Lunardi
    Introduzione alla teoria dei semigruppi, Dispense del Dipartimento di Matematica dell'Università di Parma (2015).

  2. A. Lunardi
    Analytic Semigroups and Reaction-Diffusion Problems, Internet Seminar 2004/05 Lecture Notes.

  3. A. Lunardi
    Linear and nonlinear diffusion problems, S.M.I. Summer Course on Evolution Equations and Applications, Cortona July 5-24, 2004.

  4. A. Lunardi
    How to use interpolation in PDE's, Summer School on Harmonic Analysis and PDE's, Helsinki, August 2003.

  5. A. Lunardi
    Introduzione ai problemi parabolici nonlineari, Dispense del Dipartimento di Matematica dell'Università di Parma (2001).

  6. A. Lunardi
    Interpolation Theory, Appunti, Scuola Normale Superiore, Pisa (1999).

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