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Lunardi, Alessandra

Author ID: lunardi.alessandra Recent zbMATH articles by "Lunardi, Alessandra"
Published as: Lunardi, Alessandra; Lunardi, A.; Lunardi, Alessandro
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Serials

8 Journal of Differential Equations
4 Journal of Functional Analysis
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Transactions of the American Mathematical Society
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Differential and Integral Equations
3 Archive for Rational Mechanics and Analysis
3 Journal of the London Mathematical Society. Second Series
3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
3 SIAM Journal on Mathematical Analysis
3 Journal of Evolution Equations
2 Israel Journal of Mathematics
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Journal of Integral Equations
2 Dynamic Systems and Applications
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie)
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Mathematical Analysis and Applications
1 Studia Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Optimization
1 Indiana University Mathematics Journal
1 Numerical Functional Analysis and Optimization
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 SIAM Journal on Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Potential Analysis
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Progress in Nonlinear Differential Equations and Their Applications
1 Modern Birkhäuser Classics
1 Appunti. Scuola Normale Superiore

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 2,662 times in 2,018 Documents Cited by Year
Analytic semigroups and optimal regularity in parabolic problems. Zbl 0816.35001
Lunardi, Alessandra
1995
Interpolation theory. 2nd ed. Zbl 1171.41001
Lunardi, Alessandra
166
2009
Interpolation theory. 3rd edition. Zbl 1394.46001
Lunardi, Alessandra
103
2018
On the linear heat equation with fading memory. Zbl 0716.35031
Lunardi, Alessandra
88
1990
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
79
1995
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in \(\mathbb{R}^ n\). Zbl 0887.35062
Lunardi, Alessandra
72
1997
Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001
Lunardi, Alessandra
72
2013
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
43
2017
On the Ornstein-Uhlenbeck operator in \(L^ 2\) spaces with respect to invariant measures. Zbl 0890.35030
Lunardi, Alessandra
40
1997
Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035
Lunardi, Alessandra
38
1985
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in \(\mathbb{R}^n\). Zbl 0899.35014
Lunardi, Alessandra
33
1998
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
32
1988
\(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019
Lunardi, Alessandra; Sinestrari, Eugenio
28
1986
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150
Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra
25
2010
Invariant measures and maximal \(L^{2}\) regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030
Geissert, Matthias; Lunardi, Alessandra
22
2008
Interpolation theory. Zbl 1165.41300
Lunardi, Alessandra
22
1999
Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047
Lunardi, A.
22
1989
Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. Zbl 1117.35018
Farkas, B.; Lunardi, A.
22
2006
Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013
Da Prato, Giuseppe; Lunardi, Alessandro
21
1988
Laplace transform methods in integrodifferential equations. Zbl 0587.45015
Lunardi, Alessandra
21
1985
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
21
2004
Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042
Celada, Pietro; Lunardi, Alessandra
20
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
19
2014
A general approach to stability in free boundary problems. Zbl 0973.35200
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
18
2000
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
16
2007
Abstract quasilinear parabolic equations. Zbl 0547.35054
Lunardi, Alessandra
16
1984
Fully nonlinear integrodifferential equations in general Banach space. Zbl 0563.45013
Lunardi, Alessandra; Sinestrari, Eugenio
16
1985
A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048
Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf
15
1992
Optimal \(L^ \infty\) and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
14
1998
Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033
Geissert, Matthias; Lunardi, Alessandra
13
2009
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
13
2012
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038
Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro
13
2010
Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052
Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra
13
2013
Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030
Brauner, Claude-Michel; Lunardi, Alessandra
13
2000
On the evolution operator for abstract parabolic equations. Zbl 0655.47036
Lunardi, Alessandra
12
1987
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in \(L^p(\mathbb{R}^n)\). Zbl 0899.35027
Lunardi, Alessandra; Vespri, Vincenzo
12
1996
Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces. Zbl 0643.34075
da Prato, Giuseppe; Lunardi, Alessandra
11
1986
Global solutions of abstract quasilinear parabolic equations. Zbl 0526.35039
Lunardi, Alessandra
11
1985
Asymptotic exponential stability in quasilinear parabolic equations. Zbl 0579.35038
Lunardi, Alessandra
11
1985
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
11
2018
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
11
2014
Maximal regularity for stochastic convolutions in \(L^p\) spaces. Zbl 0924.60029
Da Prato, Giuseppe; Lunardi, Alessandra
11
1998
On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045
Lunardi, Alessandra
10
1987
Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
10
2013
Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116
Baconneau, Olivier; Lunardi, Alessandra
10
2004
Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091
Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland
9
2005
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
9
2010
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
9
2015
Analyticity of the maximal solution of an abstract nonlinear parabolic equation. Zbl 0486.35017
Lunardi, Alessandra
8
1982
BV functions on convex domains in Wiener spaces. Zbl 1321.28027
Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego
8
2015
Nonlinear parabolic equations and systems. Zbl 1087.35001
Lunardi, Alessandra
8
2004
Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134
Lunardi, A.; Metafune, G.; Pallara, D.
8
2005
An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030
Lunardi, Alessandra
8
1996
Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007
Lunardi, Alessandra; Segal, J.
7
1988
On the \(\kappa\)-\(\theta\) model of cellular flames: existence in the large and asymptotics. Zbl 1152.35010
Brauner, Claude-Michel; Frankel, Michael L.; Hulshof, Josephus; Lunardi, Alessandra; Sivashinsky, Gregory I.
7
2008
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Zbl 1478.35065
Lunardi, Alessandra; Röckner, Michael
7
2021
Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041
Lunardi, Alessandra
7
1988
Stabilization of time-periodic parabolic equations. Zbl 0741.35022
Lunardi, Alessandra
7
1991
A critical case of stability in a free boundary problem. Zbl 0973.35036
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
7
2001
Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066
Da Prato, Giuseppe; Lunardi, Alessandra
6
1986
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
6
2008
Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007
Da Prato, Giuseppe; Lunardi, Alessandra
6
1990
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183
Cerrai, Sandra; Lunardi, Alessandra
6
2019
On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures. Zbl 1220.35032
Da Prato, Giuseppe; Lunardi, Alessandra
6
2007
Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015
Lorenzi, Luca; Lunardi, Alessandra
6
2006
On Fredholm properties of \({\mathfrak L}u=u'-A(t)u\) for paths of sectorial operators. Zbl 1066.34061
di Giorgia, Davide; Lunardi, Alessandra
6
2005
An introduction to parabolic moving boundary problems. Zbl 1082.35169
Lunardi, Alessandra
6
2004
Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048
Lunardi, Alessandra
5
1988
Existence in the large and stability for nonlinear Volterra equations. Zbl 0587.45016
Lunardi, Alessandra; Sinestrari, Eugenio
5
1985
Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
5
1994
On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345
Da Prato, Giuseppe; Lunardi, Alessandra
5
2004
Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102
Brauner, Claude-Michel; Lunardi, Alessandra
5
2001
On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. Zbl 1132.47039
Da Prato, Giuseppe; Lunardi, Alessandra
4
2007
Stabilité et instabilité des ondes stationnaires d’un problème de détonation à deux phases. (Stability and instability of travelling waves in a two-phase detonation problem). Zbl 0721.76046
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
4
1990
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
4
1991
On a class of fully nonlinear parabolic equations. Zbl 0738.35032
Lunardi, Alessandra
4
1991
Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013
Da Prato, Giuseppe; Lunardi, Alessandra
3
1987
Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064
Lunardi, Alessandra
3
1989
Une nouvelle formulation de modèles de fronts en problèmes totalement non linéaires. (A new formulation of moving front models as fully nonlinear problems). Zbl 0707.76065
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
3
1990
On the domains of elliptic operators in \(L^1\). Zbl 1164.35365
Lunardi, Alessandra; Metafune, Giorgio
3
2004
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
3
2016
Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072
Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra
3
2000
\(C^{\infty}\) regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003
Lunardi, Alessandra
2
1986
Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2
2006
Floquet exponents and stabilizability in time-periodic parabolic systems. Zbl 0722.35043
Da Prato, Giuseppe; Lunardi, Alessandra
2
1990
Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072
Lunardi, Alessandra
2
1989
Characterization of some interpolation spaces. I. Zbl 0528.46057
Lunardi, Alessandra
2
1982
Stabilizability of parabolic equations. Zbl 0764.35046
Lunardi, Alessandra
2
1989
Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040
Alabau, Fatiha; Lunardi, Alessandra
2
1992
BV functions in Hilbert spaces. Zbl 1497.26041
Da Prato, Giuseppe; Lunardi, Alessandra
2
2021
Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in \(\mathbb R^{d}\). Zbl 1250.35035
Lunardi, Alessandra
2
2011
Stability in fully nonlinear parabolic equations. Zbl 0832.35069
Lunardi, Alessandra
2
1995
Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187
Lunardi, Alessandra
2
1992
Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041
Guatteri, Giuseppina; Lunardi, Alessandra
2
2005
Regularity for a class of sums of noncommuting operators. Zbl 0926.47025
Lunardi, Alessandro
2
1999
Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160
Lorenzi, Luca; Lunardi, Alessandra
2
2003
Local stability results for the elastic beam equation. Zbl 0643.35055
Lunardi, Alessandra
1
1987
Time analyticity for solutions of nonlinear abstract parabolic evolution equations. Zbl 0655.35028
Lunardi, Alessandra
1
1987
Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
1
1996
Stability and local invariant manifolds in fully nonlinear parabolic equations. Zbl 0805.35045
Lunardi, Alessandra
1
1993
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Zbl 1478.35065
Lunardi, Alessandra; Röckner, Michael
7
2021
BV functions in Hilbert spaces. Zbl 1497.26041
Da Prato, Giuseppe; Lunardi, Alessandra
2
2021
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183
Cerrai, Sandra; Lunardi, Alessandra
6
2019
On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
1
2019
Interpolation theory. 3rd edition. Zbl 1394.46001
Lunardi, Alessandra
103
2018
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
11
2018
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
43
2017
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
3
2016
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
9
2015
BV functions on convex domains in Wiener spaces. Zbl 1321.28027
Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego
8
2015
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part. Zbl 1332.35179
Angiuli, Luciana; Lunardi, Alessandra
1
2015
Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042
Celada, Pietro; Lunardi, Alessandra
20
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
19
2014
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
11
2014
Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001
Lunardi, Alessandra
72
2013
Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052
Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra
13
2013
Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
10
2013
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
13
2012
Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in \(\mathbb R^{d}\). Zbl 1250.35035
Lunardi, Alessandra
2
2011
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150
Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra
25
2010
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038
Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro
13
2010
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
9
2010
Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098
Da Prato, Giuseppe; Lunardi, Alessandra
1
2010
Interpolation theory. 2nd ed. Zbl 1171.41001
Lunardi, Alessandra
166
2009
Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033
Geissert, Matthias; Lunardi, Alessandra
13
2009
Invariant measures and maximal \(L^{2}\) regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030
Geissert, Matthias; Lunardi, Alessandra
22
2008
On the \(\kappa\)-\(\theta\) model of cellular flames: existence in the large and asymptotics. Zbl 1152.35010
Brauner, Claude-Michel; Frankel, Michael L.; Hulshof, Josephus; Lunardi, Alessandra; Sivashinsky, Gregory I.
7
2008
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
6
2008
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
16
2007
On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures. Zbl 1220.35032
Da Prato, Giuseppe; Lunardi, Alessandra
6
2007
On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. Zbl 1132.47039
Da Prato, Giuseppe; Lunardi, Alessandra
4
2007
Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. Zbl 1117.35018
Farkas, B.; Lunardi, A.
22
2006
Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015
Lorenzi, Luca; Lunardi, Alessandra
6
2006
Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2
2006
Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091
Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland
9
2005
Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134
Lunardi, A.; Metafune, G.; Pallara, D.
8
2005
On Fredholm properties of \({\mathfrak L}u=u'-A(t)u\) for paths of sectorial operators. Zbl 1066.34061
di Giorgia, Davide; Lunardi, Alessandra
6
2005
Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041
Guatteri, Giuseppina; Lunardi, Alessandra
2
2005
The speed law for highly radiative flames in a gaseous mixture with large activation energy. Zbl 1130.80009
van den Berg, Jan Bouwe; Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
1
2005
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
21
2004
Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116
Baconneau, Olivier; Lunardi, Alessandra
10
2004
Nonlinear parabolic equations and systems. Zbl 1087.35001
Lunardi, Alessandra
8
2004
An introduction to parabolic moving boundary problems. Zbl 1082.35169
Lunardi, Alessandra
6
2004
On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345
Da Prato, Giuseppe; Lunardi, Alessandra
5
2004
On the domains of elliptic operators in \(L^1\). Zbl 1164.35365
Lunardi, Alessandra; Metafune, Giorgio
3
2004
Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160
Lorenzi, Luca; Lunardi, Alessandra
2
2003
A critical case of stability in a free boundary problem. Zbl 0973.35036
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
7
2001
Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102
Brauner, Claude-Michel; Lunardi, Alessandra
5
2001
Stability of travelling waves in a multidimensional free boundary problem. Zbl 1032.35082
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
1
2001
A general approach to stability in free boundary problems. Zbl 0973.35200
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
18
2000
Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030
Brauner, Claude-Michel; Lunardi, Alessandra
13
2000
Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072
Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra
3
2000
Interpolation theory. Zbl 1165.41300
Lunardi, Alessandra
22
1999
Regularity for a class of sums of noncommuting operators. Zbl 0926.47025
Lunardi, Alessandro
2
1999
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in \(\mathbb{R}^n\). Zbl 0899.35014
Lunardi, Alessandra
33
1998
Optimal \(L^ \infty\) and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
14
1998
Maximal regularity for stochastic convolutions in \(L^p\) spaces. Zbl 0924.60029
Da Prato, Giuseppe; Lunardi, Alessandra
11
1998
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in \(\mathbb{R}^ n\). Zbl 0887.35062
Lunardi, Alessandra
72
1997
On the Ornstein-Uhlenbeck operator in \(L^ 2\) spaces with respect to invariant measures. Zbl 0890.35030
Lunardi, Alessandra
40
1997
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in \(L^p(\mathbb{R}^n)\). Zbl 0899.35027
Lunardi, Alessandra; Vespri, Vincenzo
12
1996
An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030
Lunardi, Alessandra
8
1996
Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
1
1996
Analytic semigroups and optimal regularity in parabolic problems. Zbl 0816.35001
Lunardi, Alessandra
1995
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
79
1995
Stability in fully nonlinear parabolic equations. Zbl 0832.35069
Lunardi, Alessandra
2
1995
Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
5
1994
Stability and local invariant manifolds in fully nonlinear parabolic equations. Zbl 0805.35045
Lunardi, Alessandra
1
1993
A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048
Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf
15
1992
Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040
Alabau, Fatiha; Lunardi, Alessandra
2
1992
Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187
Lunardi, Alessandra
2
1992
Stabilization of time-periodic parabolic equations. Zbl 0741.35022
Lunardi, Alessandra
7
1991
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
4
1991
On a class of fully nonlinear parabolic equations. Zbl 0738.35032
Lunardi, Alessandra
4
1991
On the linear heat equation with fading memory. Zbl 0716.35031
Lunardi, Alessandra
88
1990
Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007
Da Prato, Giuseppe; Lunardi, Alessandra
6
1990
Stabilité et instabilité des ondes stationnaires d’un problème de détonation à deux phases. (Stability and instability of travelling waves in a two-phase detonation problem). Zbl 0721.76046
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
4
1990
Une nouvelle formulation de modèles de fronts en problèmes totalement non linéaires. (A new formulation of moving front models as fully nonlinear problems). Zbl 0707.76065
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
3
1990
Floquet exponents and stabilizability in time-periodic parabolic systems. Zbl 0722.35043
Da Prato, Giuseppe; Lunardi, Alessandra
2
1990
An identification problem in the theory of heat conduction. Zbl 0728.35135
Lorenzi, Alfredo; Lunardi, Alessandra
1
1990
Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047
Lunardi, A.
22
1989
Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064
Lunardi, Alessandra
3
1989
Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072
Lunardi, Alessandra
2
1989
Stabilizability of parabolic equations. Zbl 0764.35046
Lunardi, Alessandra
2
1989
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
32
1988
Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013
Da Prato, Giuseppe; Lunardi, Alessandro
21
1988
Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007
Lunardi, Alessandra; Segal, J.
7
1988
Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041
Lunardi, Alessandra
7
1988
Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048
Lunardi, Alessandra
5
1988
On the evolution operator for abstract parabolic equations. Zbl 0655.47036
Lunardi, Alessandra
12
1987
On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045
Lunardi, Alessandra
10
1987
Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013
Da Prato, Giuseppe; Lunardi, Alessandra
3
1987
Local stability results for the elastic beam equation. Zbl 0643.35055
Lunardi, Alessandra
1
1987
Time analyticity for solutions of nonlinear abstract parabolic evolution equations. Zbl 0655.35028
Lunardi, Alessandra
1
1987
Periodic solutions for autonomous fully nonlinear equations in Banach spaces. Zbl 0657.47058
Da Prato, G.; Lunardi, A.
1
1987
\(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019
Lunardi, Alessandra; Sinestrari, Eugenio
28
1986
Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces. Zbl 0643.34075
da Prato, Giuseppe; Lunardi, Alessandra
11
1986
Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066
Da Prato, Giuseppe; Lunardi, Alessandra
6
1986
\(C^{\infty}\) regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003
Lunardi, Alessandra
2
1986
Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035
Lunardi, Alessandra
38
1985
Laplace transform methods in integrodifferential equations. Zbl 0587.45015
Lunardi, Alessandra
21
1985
...and 8 more Documents
all top 5

Cited by 1,987 Authors

52 Lunardi, Alessandra
35 Da Prato, Giuseppe
34 Lorenzi, Luca
32 Hernández, Eduardo M.
25 Escher, Joachim
24 Diagana, Toka
24 Guidetti, Davide
23 Schnaubelt, Roland
22 Fan, Jishan
21 Favini, Angelo
21 Matioc, Bogdan-Vasile
20 Brauner, Claude-Michel
20 Röckner, Michael
19 Priola, Enrico
19 Shakhmurov, Veli B.
19 Veraar, Mark C.
18 Abels, Helmut
18 Rodríguez-Bernal, Aníbal
17 Pallara, Diego
16 Addona, Davide
16 Fu, Xianlong
15 Angiuli, Luciana
15 Labbas, Rabah
14 Ezzinbi, Khalil
14 Metafune, Giorgio
14 Prüß, Jan Wilhelm
13 Lorenzi, Alfredo
13 Poláčik, Peter
12 Ferrari, Simone
12 Gozzi, Fausto
12 Novaga, Matteo
12 Simonett, Gieri
12 Thalhammer, Mechthild
12 van Neerven, Jan M. A. M.
11 Cholewa, Jan W.
11 Colombo, Fabrizio
11 Garcke, Harald
11 Nguyen Thieu Huy
11 Ostermann, Alexander
11 Wang, Zhi Cheng
10 Amann, Herbert
10 Ashyralyev, Allaberen
10 Clément, Philippe J. E.
10 Henríquez, Hernán R.
10 Hieber, Matthias
10 O’Regan, Donal
10 Pascucci, Andrea
10 Rehberg, Joachim
10 Tubaro, Luciano
10 Wu, Jianhong
9 Abe, Ken
9 Acquistapace, Paolo
9 Bogachev, Vladimir Igorevich
9 Cerrai, Sandra
9 Chill, Ralph
9 Cui, Shangbin
9 de Rijk, Björn
9 Guo, Boling
9 Magal, Pierre
9 Mangino, Elisabetta M.
9 Polidoro, Sergio
9 Sinestrari, Eugenio
9 Vasylyeva, Nataliya V.
9 Wu, Junde
8 Al-Horani, Mohammed
8 Albanese, Angela Anna
8 Bonaccorsi, Stefano
8 Galaktionov, Victor Aleksandrovich
8 Giga, Yoshikazu
8 Hilhorst, Danielle
8 Kunze, Markus Christian
8 Lancia, Maria Rosaria
8 Maniar, Lahcen
8 Medeghri, Ahmed
8 Nakamura, Gen
8 N’Guérékata, Gaston Mandata
8 Prokert, Georg
8 Scheel, Arnd
8 Sun, Xiaobin
8 Vernole, Paola Gioia
8 Walker, Christoph
8 Weis, Lutz W.
8 Zhang, Liang
7 Banasiak, Jacek
7 Chaouchi, Belkacem
7 Cuevas, Claudio
7 Federico, Salvatore
7 Flandoli, Franco
7 Krasnoshchok, Mykola Valeriĭovych
7 Lasiecka, Irena
7 Li, Binjie
7 Li, Buyang
7 Li, Fucai
7 Meyries, Martin
7 Pierri, Michelle
7 Rhandi, Abdelaziz
7 Ruan, Shigui
7 Tanabe, Hiroki
7 Tessitore, Gianmario
7 Vespri, Vincenzo Riccardo
...and 1,887 more Authors
all top 5

Cited in 347 Serials

184 Journal of Differential Equations
126 Journal of Mathematical Analysis and Applications
89 Journal of Evolution Equations
62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Journal of Functional Analysis
32 Mathematical Methods in the Applied Sciences
26 NoDEA. Nonlinear Differential Equations and Applications
25 Mathematische Annalen
25 Mathematische Nachrichten
25 Transactions of the American Mathematical Society
25 Nonlinear Analysis. Real World Applications
24 SIAM Journal on Mathematical Analysis
23 Journal of Dynamics and Differential Equations
23 Potential Analysis
22 Semigroup Forum
21 Applied Mathematics and Computation
21 Communications on Pure and Applied Analysis
21 Nonlinear Analysis. Theory, Methods & Applications
20 Discrete and Continuous Dynamical Systems
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Proceedings of the American Mathematical Society
18 Archive for Rational Mechanics and Analysis
18 Communications in Partial Differential Equations
18 Stochastic Processes and their Applications
18 Discrete and Continuous Dynamical Systems. Series B
17 Nonlinearity
17 Mediterranean Journal of Mathematics
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Applied Mathematics and Optimization
15 Calculus of Variations and Partial Differential Equations
14 Discrete and Continuous Dynamical Systems. Series S
14 Evolution Equations and Control Theory
13 Applicable Analysis
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Advances in Difference Equations
12 Computers & Mathematics with Applications
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Mathematics of Computation
12 The Annals of Probability
12 SIAM Journal on Control and Optimization
12 The Journal of Geometric Analysis
11 Journal of Mathematical Physics
10 Journal of Computational and Applied Mathematics
10 Mathematische Zeitschrift
10 The Annals of Applied Probability
10 Journal of Mathematical Sciences (New York)
10 Fractional Calculus & Applied Analysis
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
10 Boundary Value Problems
9 Communications in Mathematical Physics
9 Rocky Mountain Journal of Mathematics
9 Numerische Mathematik
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Applied Mathematics Letters
9 Journal of Nonlinear Science
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Journal of Mathematical Fluid Mechanics
9 Interfaces and Free Boundaries
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 Stochastic Analysis and Applications
8 Physica D
7 Integral Equations and Operator Theory
7 SIAM Journal on Numerical Analysis
7 Journal of Scientific Computing
7 Journal of Integral Equations and Applications
7 European Journal of Applied Mathematics
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Abstract and Applied Analysis
7 Stochastics and Dynamics
7 Milan Journal of Mathematics
7 Analysis and Applications (Singapore)
6 Archiv der Mathematik
6 Zeitschrift für Analysis und ihre Anwendungen
6 Applied Numerical Mathematics
6 Journal of Theoretical Probability
6 Mathematical and Computer Modelling
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Bulletin des Sciences Mathématiques
6 Electronic Journal of Probability
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Journal of Fixed Point Theory and Applications
5 International Journal of Control
5 Studia Mathematica
5 Ukrainian Mathematical Journal
5 Advances in Mathematics
5 Czechoslovak Mathematical Journal
5 Rendiconti del Seminario Matematico della Università di Padova
5 Probability Theory and Related Fields
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Journal of Inverse and Ill-Posed Problems
5 Bernoulli
5 The Journal of Fourier Analysis and Applications
5 Acta Mathematica Sinica. English Series
5 Communications in Nonlinear Science and Numerical Simulation
5 Mathematical Modelling of Natural Phenomena
4 Bulletin of the Australian Mathematical Society
4 Inverse Problems
4 Israel Journal of Mathematics
4 Journal of Mathematical Biology
...and 247 more Serials
all top 5

Cited in 50 Fields

1,426 Partial differential equations (35-XX)
513 Operator theory (47-XX)
319 Probability theory and stochastic processes (60-XX)
302 Ordinary differential equations (34-XX)
177 Fluid mechanics (76-XX)
153 Biology and other natural sciences (92-XX)
144 Integral equations (45-XX)
144 Numerical analysis (65-XX)
122 Dynamical systems and ergodic theory (37-XX)
116 Functional analysis (46-XX)
96 Systems theory; control (93-XX)
92 Differential geometry (53-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
61 Global analysis, analysis on manifolds (58-XX)
61 Mechanics of deformable solids (74-XX)
59 Classical thermodynamics, heat transfer (80-XX)
56 Real functions (26-XX)
49 Harmonic analysis on Euclidean spaces (42-XX)
35 Measure and integration (28-XX)
33 Statistical mechanics, structure of matter (82-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Mechanics of particles and systems (70-XX)
17 Potential theory (31-XX)
17 Abstract harmonic analysis (43-XX)
12 Optics, electromagnetic theory (78-XX)
12 Quantum theory (81-XX)
11 Difference and functional equations (39-XX)
11 Geophysics (86-XX)
9 Special functions (33-XX)
9 Approximations and expansions (41-XX)
8 Statistics (62-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Integral transforms, operational calculus (44-XX)
7 Computer science (68-XX)
6 Functions of a complex variable (30-XX)
5 Manifolds and cell complexes (57-XX)
4 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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