Papers and Lecture Notes
Contents
Preprints
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S. Cerrai & A. Lunardi
Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension
arXiv:2111.05421
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Alessandra Lunardi
Time regularity for generalized Mehler semigroups
arXiv:2012.12797
To appear in Math. Nachr.
Monographs
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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.
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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
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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
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Alessandra Lunardi & Diego Pallara
Ornstein-Uhlenbeck semigroups in infinite dimension
Phil. Trans. R. Soc. A 378 20190620. (2020)
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Alessandra Lunardi, Giorgio Metafune & Diego Pallara
The Ornstein-Uhlenbeck semigroup in finite dimension
Phil. Trans. R. Soc. A 378 20200217. (2020)
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Giuseppe Da Prato & Alessandra Lunardi
BV functions in Hilbert spaces
Math. Ann. 381 (2021), no. 3-4, 1653-1722.
Online
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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.
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Sandra Cerrai & Alessandra Lunardi
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
J. Differential Equations 267 (2019), 7462–7482.
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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.
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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.
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L. Lorenzi, A. Lunardi & R. Schnaubelt
Strong convergence of solutions to nonautonomous Kolmogorov equations
Proc. Amer. Math. Soc. 144 (2016), no. 9, 3903–3917.
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A. Lunardi, M. Miranda jr. & D. Pallara
BV functions on convex domains in Wiener spaces
Potential Analysis 43 (2015), 23–48.
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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.
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L. Angiuli & A. Lunardi
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part
Nonlinear Analysis TMA 125 (2015), 468–497.
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G. Da Prato, A. Lunardi & L. Tubaro
Surface measures in infinite dimension
Rend. Lincei Mat. Appl. 25 (2014), 1–22.
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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.
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P. Celada & A. Lunardi
Traces of Sobolev functions on regular surfaces in infinite dimensions
J. Funct. Anal. 266 (2014), no. 4, 1948–1987.
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L. Angiuli, L. Lorenzi & A. Lunardi
Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations
Comm. Partial Differential Equations 38 (2013), no. 12, 2049–2080.
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G. Da Prato & A. Lunardi
Maximal L2 regularity for Dirichlet problems in Hilbert spaces
J. Math. Pures Appl. 99 (2013), 741-765.
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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.
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L. Lorenzi, A. Lunardi & A. Zamboni
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
J. Differential Equations 249 (2010), 3377-3418.
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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.
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G. Da Prato & A. Lunardi
Ultraboundedness for parabolic equations in convex domains without
boundary conditions
Physica D 239 (2010), 1453-1457.
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M. Kunze, L. Lorenzi & A. Lunardi
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
Trans. Amer. Math. Soc. 362 (2010), no. 1, 169-198.
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M. Geissert & A. Lunardi
Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations.
J. Lond. Math. Soc. (2) 79 (2009), no. 1, 85-106.
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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.
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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.
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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.
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G. Da Prato & A. Lunardi
Ornstein-Uhlenbeck operators with time
periodic coefficients
J. Evol. Equ. 7 (2007), 587-614.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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A. Lunardi & G. Metafune
On the domains of elliptic operators in
L1
Differential Integral Equations 17 (2004), no. 1-2, 73-97.
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O. Baconneau & A. Lunardi
Smooth solutions to a class of free
boundary parabolic problems
Trans. Amer. Math. Soc. 356 (2004), no. 3, 987-1005.
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G. Da Prato & A. Lunardi
Elliptic operators with unbounded drift
coefficients and Neumann boundary condition
J. Diff. Eqns. 198 (2004), 35-52.
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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.
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C.-M. Brauner & A. Lunardi
Bifurcation of nonplanar travelling waves in a free boundary problem
Nonlinear Analysis T.M.A. 44 (2001), 247-261.
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C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
Stability analysis in a multidimensional interface problem
Nonlinear Analysis T.M.A. 44 (2001), 263-280.
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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.
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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.
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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.
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C.-M. Brauner, J. Hulshof & A. Lunardi
A general approach to stability in free boundary problems
Journal of Differential Equations 164 (2000), 16-48.
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A. Lunardi
Optimal Ws,p regularity in parabolic problems
Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 10 (1999), 25-34.
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A. Lunardi
Schauder theorems for linear elliptic and parabolic problems with
unbounded coefficients in Rn,
Studia Mathematica 128 (1998), 171-198.
-
G. Da Prato & A. Lunardi
Maximal regularity for stochastic convolutions in Lp
spaces
Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 9 (1998), 25-29.
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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.
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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.
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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.
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A. Lunardi
An interpolation method to characterize domains of generators of
semigroups
Semigroup Forum 53 (1996), 321-329.
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A. Lunardi
Stability in fully nonlinear parabolic equations
Archive for Rational Mechanics and Analysis 130 (1995), 1-24.
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G. Da Prato & A. Lunardi
On the Ornstein-Uhlenbeck operator in spaces of continuous functions
Journal of Functional Analysis 131 (1995), 94-114.
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A. Lunardi
A unified approach to semilinear parabolic problems
Dynamic Systems and Applications 4 (1995), 103-123.
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C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
Multidimensional stability analysis of planar travelling waves
Applied Mathematics Letters 7 (1994), 1-4.
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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.
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C.-M. Brauner, A. Lunardi & Cl. Schmidt-Lainé
Stability of travelling waves with interface conditions
Nonlinear Analysis T.M.A. 19 (1992), 465-484.
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A. Lunardi
On a class of fully nonlinear parabolic equations
Communications in Partial Differential Equations 16 (1991), 146-172.
-
A. Lunardi & V. Vespri
Hölder regularity in variational parabolic nonhomogeneous
equations
Journal of Differential Equations 94 (1991), 1-41.
-
G. Da Prato & A. Lunardi
Floquet exponents and stabilizability of time periodic parabolic
systems
Applied Mathematics & Optimization 22 (1990), 91-113.
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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.
-
G. Da Prato & A. Lunardi
Stabilizability of integrodifferential parabolic equations
Journal of Integral Equations and Applications 2 (1990),
281-304.
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A. Lunardi
Stabilizability of time periodic parabolic equations
SIAM Journal on Control & Optimization 29 (1991), 810-828.
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A. Lunardi
Differentiability with respect to (t,s) of the parabolic evolution
operator
Israel Journal of Mathematics 68 (1989), 161-184.
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A. Lorenzi & A. Lunardi
An identification problem in the theory of heat conduction,
Differential and Integral Equations 3 (1990), 238-252.
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A. Lunardi
On the linear heat equation with memory
SIAM Journal on Mathematical Analysis 21 (1990), 1213-1224.
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A. Lunardi
Maximal space regularity in nonhomogeneous initial boundary value
parabolic problems
Numerical Functional Analysis and Optimization 10 (1989), 323-360.
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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.
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A. Lunardi
Stability of the periodic solutions to fully nonlinear equations in
Banach space
Differential and Integral Equations 1 (1988), 253-279.
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A. Lunardi
Bounded solutions of linear periodic abstract parabolic equations,
Proceedings of the Royal Society of Edinburgh, 110A (1988), 136-159.
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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.
-
A. Lunardi
Regular solutions for time dependent abstract integrodifferential
equations with singular kernel
Journal of Mathematical Analysis and Applications 130 (1988), 1-21.
-
A. Lunardi
On the evolution operator for abstract parabolic equations
Israel Journal of Mathematics 60 (1987), 281-314.
-
A. Lunardi
Local stability results for the elastic beam equation
SIAM Journal on Mathematical Analysis 18 (1987), 1352-1376.
-
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.
-
A. Lunardi
Time analyticity for solutions of nonlinear abstract parabolic
evolution equations
Journal of Functional Analysis 71 (1987), 294-308.
-
A. Lunardi & E. Sinestrari
Cα-regularity for non autonomous linear
integrodifferential equations of parabolic type
Journal of Differential Equations 63 (1986), 88-116.
-
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.
-
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.
-
A. Lunardi
Global solutions of abstract quasilinear parabolic equations
Journal of Differential Equations 58 (1985), 228-243.
-
A. Lunardi & E. Sinestrari
Fully nonlinear integrodifferential equations in general Banach space,
Mathematische Zeitschrift 190 (1985), 225-249.
-
A. Lunardi
Asymptotic exponential stability in quasilinear parabolic equations,
Nonlinear Analysis T.M.A. 9 (1985), 563-586.
-
A. Lunardi
Abstract quasilinear parabolic equations
Mathematische Annalen 267 (1984), 405-425.
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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.
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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
-
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.
-
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.
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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
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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
-
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.
-
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.
-
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.
-
A. Lunardi
Problemi parabolici a frontiera libera, Bollettino U.M.I. (8) 1-B
(2000), 11-29.
-
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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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A. Lunardi
Stabilizzabilità di equazioni paraboliche, Rendiconti del
Seminario Matematico e Fisico di Milano 59 (1989), 25-36.
-
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.
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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.
-
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.
-
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.
-
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.
-
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.
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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.
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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.
-
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.
-
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.
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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
-
A. Lunardi
Introduzione alla teoria dei
semigruppi, Dispense del Dipartimento di Matematica
dell'Università di Parma (2015).
-
A. Lunardi
Analytic Semigroups and
Reaction-Diffusion Problems, Internet Seminar 2004/05 Lecture
Notes.
-
A. Lunardi
Linear and nonlinear diffusion
problems, S.M.I. Summer Course on Evolution
Equations and Applications, Cortona July 5-24, 2004.
-
A. Lunardi
How
to use interpolation in PDE's, Summer School
on Harmonic Analysis and PDE's, Helsinki, August 2003.
-
A. Lunardi
Introduzione
ai problemi parabolici nonlineari, Dispense del Dipartimento
di Matematica dell'Università di Parma (2001).
-
A. Lunardi
Interpolation Theory,
Appunti, Scuola Normale Superiore, Pisa (1999).
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