## Lunardi, Alessandra

Compute Distance To:
 Author ID: lunardi.alessandra Published as: Lunardi, Alessandra; Lunardi, A.; Lunardi, Alessandro External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 123 Publications since 1981, including 5 Books Co-Authors: 32 Co-Authors with 73 Joint Publications 853 Co-Co-Authors
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### Co-Authors

 49 single-authored 27 Da Prato, Giuseppe 14 Brauner, Claude-Michel 6 Lorenzi, Luca 6 Schmidt-Lainé, Claudine 5 Hulshof, Josephus 5 Sinestrari, Eugenio 3 Tubaro, Luciano 3 Vespri, Vincenzo Riccardo 2 Angiuli, Luciana 2 Baconneau, Olivier 2 Cerrai, Sandra 2 Geissert, Matthias 2 Metafune, Giorgio 2 Miranda, Michele jun. 2 Pallara, Diego 2 Schnaubelt, Roland 1 Alabau-Boussouira, Fatiha 1 Caselles Costa, Vicent 1 Celada, Pietro 1 di Giorgia, Davide 1 Di Giorgio, Davide 1 Farkas, Bálint 1 Frankel, Michael L. 1 Guatteri, Giuseppina 1 Kunze, Markus Christian 1 Lorenzi, Alfredo 1 Novaga, Matteo 1 Röckner, Michael 1 Sivashinsky, Gregory I. 1 van den Berg, Jan Bouwe 1 von Wahl, Wolf 1 Zamboni, 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 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 Mathematische Nachrichten 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
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### Fields

 92 Partial differential equations (35-XX) 41 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 17 Ordinary differential equations (34-XX) 17 Classical thermodynamics, heat transfer (80-XX) 12 Functional analysis (46-XX) 10 Integral equations (45-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Measure and integration (28-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

105 Publications have been cited 2,013 times in 1,508 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
2009
On the linear heat equation with fading memory. Zbl 0716.35031
Lunardi, Alessandra
1990
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
1995
Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001
Lunardi, Alessandra
2013
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $$\mathbb{R}^ n$$. Zbl 0887.35062
Lunardi, Alessandra
1997
Interpolation theory. 3rd edition. Zbl 1394.46001
Lunardi, Alessandra
2018
Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035
Lunardi, Alessandra
1985
On the Ornstein-Uhlenbeck operator in $$L^ 2$$ spaces with respect to invariant measures. Zbl 0890.35030
Lunardi, Alessandra
1997
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $$\mathbb{R}^n$$. Zbl 0899.35014
Lunardi, Alessandra
1998
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
1988
$$C^{\alpha}$$-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019
Lunardi, Alessandra; Sinestrari, Eugenio
1986
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150
Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra
2010
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
2017
Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047
Lunardi, A.
1989
Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013
Da Prato, Giuseppe; Lunardi, Alessandro
1988
Laplace transform methods in integrodifferential equations. Zbl 0587.45015
Lunardi, Alessandra
1985
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
2004
Invariant measures and maximal $$L^{2}$$ regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030
Geissert, Matthias; Lunardi, Alessandra
2008
Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042
Celada, Pietro; Lunardi, Alessandra
2014
A general approach to stability in free boundary problems. Zbl 0973.35200
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
2000
Abstract quasilinear parabolic equations. Zbl 0547.35054
Lunardi, Alessandra
1984
Interpolation theory. Zbl 1165.41300
Lunardi, Alessandra
1999
Maximal regularity for Kolmogorov operators in $$L^{2}$$ spaces with respect to invariant measures. Zbl 1117.35018
Farkas, B.; Lunardi, A.
2006
A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048
Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf
1992
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
2007
Fully nonlinear integrodifferential equations in general Banach space. Zbl 0563.45013
Lunardi, Alessandra; Sinestrari, Eugenio
1985
Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030
Brauner, Claude-Michel; Lunardi, Alessandra
2000
Optimal $$L^ \infty$$ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
1998
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
2012
Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033
Geissert, Matthias; Lunardi, Alessandra
2009
Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052
Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra
2013
On the evolution operator for abstract parabolic equations. Zbl 0655.47036
Lunardi, Alessandra
1987
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
2014
Asymptotic exponential stability in quasilinear parabolic equations. Zbl 0579.35038
Lunardi, Alessandra
1985
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038
Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro
2010
Global solutions of abstract quasilinear parabolic equations. Zbl 0526.35039
Lunardi, Alessandra
1985
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in $$L^p(\mathbb{R}^n)$$. Zbl 0899.35027
Lunardi, Alessandra; Vespri, Vincenzo
1996
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
2014
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
2018
Maximal regularity for stochastic convolutions in $$L^p$$ spaces. Zbl 0924.60029
Da Prato, Giuseppe; Lunardi, Alessandra
1998
Analyticity of the maximal solution of an abstract nonlinear parabolic equation. Zbl 0486.35017
Lunardi, Alessandra
1982
Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134
Lunardi, A.; Metafune, G.; Pallara, D.
2005
An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030
Lunardi, Alessandra
1996
Maximal $$L^2$$ regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
2013
Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116
Baconneau, Olivier; Lunardi, Alessandra
2004
A critical case of stability in a free boundary problem. Zbl 0973.35036
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
2001
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
2010
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
2005
Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066
Da Prato, Giuseppe; Lunardi, Alessandra
1986
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
2015
Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041
Lunardi, Alessandra
1988
An introduction to parabolic moving boundary problems. Zbl 1082.35169
Lunardi, Alessandra
2004
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
2007
Elliptic operators with unbounded diffusion coefficients in $$L^{2}$$ spaces with respect to invariant measures. Zbl 1143.35015
Lorenzi, Luca; Lunardi, Alessandra
2006
BV functions on convex domains in Wiener spaces. Zbl 1321.28027
Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego
2015
Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007
Da Prato, Giuseppe; Lunardi, Alessandra
1990
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.
2008
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
2008
Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007
Lunardi, Alessandra; Segal, J.
1988
On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045
Lunardi, Alessandra
1987
Existence in the large and stability for nonlinear Volterra equations. Zbl 0587.45016
Lunardi, Alessandra; Sinestrari, Eugenio
1985
Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
1994
Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102
Brauner, Claude-Michel; Lunardi, Alessandra
2001
On Fredholm properties of $${\mathfrak L}u=u'-A(t)u$$ for paths of sectorial operators. Zbl 1066.34061
di Giorgia, Davide; Lunardi, Alessandra
2005
Nonlinear parabolic equations and systems. Zbl 1087.35001
Lunardi, Alessandra
2004
On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345
Da Prato, Giuseppe; Lunardi, Alessandra
2004
Stabilization of time-periodic parabolic equations. Zbl 0741.35022
Lunardi, Alessandra
1991
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
1990
Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048
Lunardi, Alessandra
1988
Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072
Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra
2000
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
1991
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
2016
Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064
Lunardi, Alessandra
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
1990
Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013
Da Prato, Giuseppe; Lunardi, Alessandra
1987
On a class of degenerate elliptic operators in $$L^{1}$$ spaces with respect to invariant measures. Zbl 1132.47039
Da Prato, Giuseppe; Lunardi, Alessandra
2007
Characterization of some interpolation spaces. I. Zbl 0528.46057
Lunardi, Alessandra
1982
On a class of fully nonlinear parabolic equations. Zbl 0738.35032
Lunardi, Alessandra
1991
Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040
Alabau, Fatiha; Lunardi, Alessandra
1992
Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187
Lunardi, Alessandra
1992
Stability in fully nonlinear parabolic equations. Zbl 0832.35069
Lunardi, Alessandra
1995
On the domains of elliptic operators in $$L^1$$. Zbl 1164.35365
Lunardi, Alessandra; Metafune, Giorgio
2004
Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160
Lorenzi, Luca; Lunardi, Alessandra
2003
Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $$\mathbb R^{d}$$. Zbl 1250.35035
Lunardi, Alessandra
2011
Maximal dissipativity of a class of elliptic degenerate operators in weighted $$L^2$$ spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2006
On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
2019
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part. Zbl 1332.35179
Angiuli, Luciana; Lunardi, Alessandra
2015
Fully nonlinear integrodifferential equations in general Banach space. Zbl 0549.45004
Lunardi, Alessandra; Sinestrari, Eugenio
1985
An extension of Schauder’s theorem to little-Hölder continuous functions. Zbl 0552.35041
Lunardi, Alessandra
1984
Stabilizability of parabolic equations. Zbl 0764.35046
Lunardi, Alessandra
1989
Stability of travelling waves in a multidimensional free boundary problem. Zbl 1032.35082
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
2001
Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
1996
Regularity for a class of sums of noncommuting operators. Zbl 0926.47025
Lunardi, Alessandro
1999
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183
Cerrai, Sandra; Lunardi, Alessandra
2019
Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072
Lunardi, Alessandra
1989
An identification problem in the theory of heat conduction. Zbl 0728.35135
Lorenzi, Alfredo; Lunardi, Alessandra
1990
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
2005
Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041
Guatteri, Giuseppina; Lunardi, Alessandra
2005
$$C^{\infty}$$ regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003
Lunardi, Alessandra
1986
On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
2019
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183
Cerrai, Sandra; Lunardi, Alessandra
2019
Interpolation theory. 3rd edition. Zbl 1394.46001
Lunardi, Alessandra
2018
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
2018
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
2017
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
2016
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
2015
BV functions on convex domains in Wiener spaces. Zbl 1321.28027
Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego
2015
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part. Zbl 1332.35179
Angiuli, Luciana; Lunardi, Alessandra
2015
Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042
Celada, Pietro; Lunardi, Alessandra
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
2014
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
2014
Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001
Lunardi, Alessandra
2013
Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052
Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra
2013
Maximal $$L^2$$ regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
2013
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
2012
Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $$\mathbb R^{d}$$. Zbl 1250.35035
Lunardi, Alessandra
2011
Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150
Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra
2010
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038
Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro
2010
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
2010
Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098
Da Prato, Giuseppe; Lunardi, Alessandra
2010
Interpolation theory. 2nd ed. Zbl 1171.41001
Lunardi, Alessandra
2009
Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033
Geissert, Matthias; Lunardi, Alessandra
2009
Invariant measures and maximal $$L^{2}$$ regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030
Geissert, Matthias; Lunardi, Alessandra
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.
2008
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
2008
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
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
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
2007
Maximal regularity for Kolmogorov operators in $$L^{2}$$ spaces with respect to invariant measures. Zbl 1117.35018
Farkas, B.; Lunardi, A.
2006
Elliptic operators with unbounded diffusion coefficients in $$L^{2}$$ spaces with respect to invariant measures. Zbl 1143.35015
Lorenzi, Luca; Lunardi, Alessandra
2006
Maximal dissipativity of a class of elliptic degenerate operators in weighted $$L^2$$ spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2006
Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134
Lunardi, A.; Metafune, G.; Pallara, D.
2005
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
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
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
2005
Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041
Guatteri, Giuseppina; Lunardi, Alessandra
2005
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
2004
Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116
Baconneau, Olivier; Lunardi, Alessandra
2004
An introduction to parabolic moving boundary problems. Zbl 1082.35169
Lunardi, Alessandra
2004
Nonlinear parabolic equations and systems. Zbl 1087.35001
Lunardi, Alessandra
2004
On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345
Da Prato, Giuseppe; Lunardi, Alessandra
2004
On the domains of elliptic operators in $$L^1$$. Zbl 1164.35365
Lunardi, Alessandra; Metafune, Giorgio
2004
Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160
Lorenzi, Luca; Lunardi, Alessandra
2003
A critical case of stability in a free boundary problem. Zbl 0973.35036
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
2001
Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102
Brauner, Claude-Michel; Lunardi, Alessandra
2001
Stability of travelling waves in a multidimensional free boundary problem. Zbl 1032.35082
Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine
2001
A general approach to stability in free boundary problems. Zbl 0973.35200
Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra
2000
Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030
Brauner, Claude-Michel; Lunardi, Alessandra
2000
Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072
Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra
2000
Interpolation theory. Zbl 1165.41300
Lunardi, Alessandra
1999
Regularity for a class of sums of noncommuting operators. Zbl 0926.47025
Lunardi, Alessandro
1999
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $$\mathbb{R}^n$$. Zbl 0899.35014
Lunardi, Alessandra
1998
Optimal $$L^ \infty$$ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
1998
Maximal regularity for stochastic convolutions in $$L^p$$ spaces. Zbl 0924.60029
Da Prato, Giuseppe; Lunardi, Alessandra
1998
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $$\mathbb{R}^ n$$. Zbl 0887.35062
Lunardi, Alessandra
1997
On the Ornstein-Uhlenbeck operator in $$L^ 2$$ spaces with respect to invariant measures. Zbl 0890.35030
Lunardi, Alessandra
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
1996
An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030
Lunardi, Alessandra
1996
Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
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
1995
Stability in fully nonlinear parabolic equations. Zbl 0832.35069
Lunardi, Alessandra
1995
Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148
Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl.
1994
A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048
Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf
1992
Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040
Alabau, Fatiha; Lunardi, Alessandra
1992
Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187
Lunardi, Alessandra
1992
Stabilization of time-periodic parabolic equations. Zbl 0741.35022
Lunardi, Alessandra
1991
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
1991
On a class of fully nonlinear parabolic equations. Zbl 0738.35032
Lunardi, Alessandra
1991
On the linear heat equation with fading memory. Zbl 0716.35031
Lunardi, Alessandra
1990
Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007
Da Prato, Giuseppe; Lunardi, Alessandra
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
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
1990
An identification problem in the theory of heat conduction. Zbl 0728.35135
Lorenzi, Alfredo; Lunardi, Alessandra
1990
Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047
Lunardi, A.
1989
Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064
Lunardi, Alessandra
1989
Stabilizability of parabolic equations. Zbl 0764.35046
Lunardi, Alessandra
1989
Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072
Lunardi, Alessandra
1989
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
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
1988
Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041
Lunardi, Alessandra
1988
Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007
Lunardi, Alessandra; Segal, J.
1988
Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048
Lunardi, Alessandra
1988
On the evolution operator for abstract parabolic equations. Zbl 0655.47036
Lunardi, Alessandra
1987
On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045
Lunardi, Alessandra
1987
Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013
Da Prato, Giuseppe; Lunardi, Alessandra
1987
Local stability results for the elastic beam equation. Zbl 0643.35055
Lunardi, Alessandra
1987
Time analyticity for solutions of nonlinear abstract parabolic evolution equations. Zbl 0655.35028
Lunardi, Alessandra
1987
Periodic solutions for autonomous fully nonlinear equations in Banach spaces. Zbl 0657.47058
Da Prato, G.; Lunardi, A.
1987
$$C^{\alpha}$$-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019
Lunardi, Alessandra; Sinestrari, Eugenio
1986
Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066
Da Prato, Giuseppe; Lunardi, Alessandra
1986
$$C^{\infty}$$ regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003
Lunardi, Alessandra
1986
Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces. Zbl 0643.34075
da Prato, Giuseppe; Lunardi, Alessandra
1986
Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035
Lunardi, Alessandra
1985
Laplace transform methods in integrodifferential equations. Zbl 0587.45015
Lunardi, Alessandra
1985
Fully nonlinear integrodifferential equations in general Banach space. Zbl 0563.45013
Lunardi, Alessandra; Sinestrari, Eugenio
1985
Asymptotic exponential stability in quasilinear parabolic equations. Zbl 0579.35038
Lunardi, Alessandra
1985
Global solutions of abstract quasilinear parabolic equations. Zbl 0526.35039
Lunardi, Alessandra
1985
Existence in the large and stability for nonlinear Volterra equations. Zbl 0587.45016
Lunardi, Alessandra; Sinestrari, Eugenio
1985
...and 5 more Documents
all top 5

### Cited by 1,515 Authors

 49 Lunardi, Alessandra 34 Da Prato, Giuseppe 33 Lorenzi, Luca 28 Hernández, Eduardo M. 25 Escher, Joachim 20 Favini, Angelo 20 Guidetti, Davide 20 Schnaubelt, Roland 19 Brauner, Claude-Michel 17 Diagana, Toka 17 Matioc, Bogdan-Vasile 16 Pallara, Diego 15 Shakhmurov, Veli B. 14 Metafune, Giorgio 14 Priola, Enrico 14 Prüß, Jan Wilhelm 14 Röckner, Michael 13 Angiuli, Luciana 13 Labbas, Rabah 13 Lorenzi, Alfredo 12 Addona, Davide 12 Ezzinbi, Khalil 12 Poláčik, Peter 12 Rodríguez-Bernal, Aníbal 11 Gozzi, Fausto 11 Ostermann, Alexander 11 Simonett, Gieri 11 Thalhammer, Mechthild 11 Veraar, Mark C. 10 Abels, Helmut 10 Amann, Herbert 10 Clément, Philippe J. E. 10 Colombo, Fabrizio 10 Rehberg, Joachim 10 van Neerven, Jan M. A. M. 9 Chill, Ralph 9 Cui, Shangbin 9 Fan, Jishan 9 Fu, Xianlong 9 Garcke, Harald 9 Henríquez, Hernán R. 9 Mangino, Elisabetta M. 9 Novaga, Matteo 9 O’Regan, Donal 9 Sinestrari, Eugenio 9 Tubaro, Luciano 8 Al-Horani, Mohammed 8 Albanese, Angela Anna 8 Ashyralyev, Allaberen 8 Bonaccorsi, Stefano 8 Cerrai, Sandra 8 Galaktionov, Victor Aleksandrovich 8 Magal, Pierre 8 Medeghri, Ahmed 8 Polidoro, Sergio 8 Wu, Junde 7 Acquistapace, Paolo 7 Federico, Salvatore 7 Guo, Boling 7 Kunze, Markus Christian 7 Li, Buyang 7 Maniar, Lahcen 7 Meyries, Martin 7 Nguyen Thieu Huy 7 Pascucci, Andrea 7 Rhandi, Abdelaziz 7 Tanabe, Hiroki 7 Vasylyeva, Nataliya V. 7 Walker, Christoph 7 Weis, Lutz W. 7 Zhou, Fujun 6 Barbu, Viorel 6 Bogachev, Vladimir Igorevich 6 Cholewa, Jan W. 6 de Rijk, Björn 6 Dos Santos, José Paulo Carvalho 6 Ducrot, Arnaud 6 Fornaro, Simona 6 Giga, Yoshikazu 6 Hieber, Matthias 6 Hilhorst, Danielle 6 Krasnoshchok, Mykola Valeriĭovych 6 Li, Fucai 6 McCoy, James Alexander 6 N’Guérékata, Gaston Mandata 6 Pierri, Michelle 6 Prokert, Georg 6 Ruan, Shigui 6 Tessitore, Gianmario 6 Vespri, Vincenzo Riccardo 5 Banasiak, Jacek 5 Bothe, Dieter 5 Brzeźniak, Zdzisław 5 Favaron, Alberto 5 Ferrari, Simone 5 González, Cesáreo 5 Hulshof, Josephus 5 Krylov, Nicolaĭ Vladimirovich 5 Lancia, Maria Rosaria 5 Lasiecka, Irena ...and 1,415 more Authors
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### Cited in 293 Serials

 160 Journal of Differential Equations 110 Journal of Mathematical Analysis and Applications 69 Journal of Evolution Equations 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Journal of Functional Analysis 24 Transactions of the American Mathematical Society 21 NoDEA. Nonlinear Differential Equations and Applications 20 Nonlinear Analysis. Theory, Methods & Applications 19 Semigroup Forum 19 Potential Analysis 18 Mathematische Annalen 18 Journal of Dynamics and Differential Equations 18 Communications on Pure and Applied Analysis 17 Proceedings of the American Mathematical Society 17 Communications in Partial Differential Equations 17 Discrete and Continuous Dynamical Systems 17 Nonlinear Analysis. Real World Applications 16 Mediterranean Journal of Mathematics 15 Archive for Rational Mechanics and Analysis 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Applied Mathematics and Computation 14 Stochastic Processes and their Applications 13 Calculus of Variations and Partial Differential Equations 12 Mathematics of Computation 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 The Annals of Probability 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Discrete and Continuous Dynamical Systems. Series B 11 Mathematical Methods in the Applied Sciences 11 SIAM Journal on Mathematical Analysis 10 Mathematische Zeitschrift 10 The Journal of Geometric Analysis 10 Advances in Difference Equations 10 Evolution Equations and Control Theory 9 Applicable Analysis 9 Applied Mathematics and Optimization 9 Journal of Mathematical Sciences (New York) 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 Discrete and Continuous Dynamical Systems. Series S 8 Nonlinearity 8 Rocky Mountain Journal of Mathematics 8 Journal of Computational and Applied Mathematics 8 Numerische Mathematik 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Computers & Mathematics with Applications 7 Communications in Mathematical Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematische Nachrichten 7 SIAM Journal on Control and Optimization 7 Stochastic Analysis and Applications 7 Abstract and Applied Analysis 7 Journal of Mathematical Fluid Mechanics 7 Milan Journal of Mathematics 7 Boundary Value Problems 6 Journal of Mathematical Physics 6 Zeitschrift für Analysis und ihre Anwendungen 6 Physica D 6 Applied Numerical Mathematics 6 Journal of Integral Equations and Applications 6 European Journal of Applied Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Journal of Nonlinear Science 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 International Journal of Control 5 Ukrainian Mathematical Journal 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Integral Equations and Operator Theory 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of Scientific Computing 5 The Annals of Applied Probability 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Inverse and Ill-Posed Problems 5 Interfaces and Free Boundaries 5 Journal of Fixed Point Theory and Applications 5 Mathematical Modelling of Natural Phenomena 4 Bulletin of the Australian Mathematical Society 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 BIT 4 Indiana University Mathematics Journal 4 Numerical Functional Analysis and Optimization 4 Osaka Journal of Mathematics 4 Probability Theory and Related Fields 4 Journal of Theoretical Probability 4 Applied Mathematics Letters 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Bulletin des Sciences Mathématiques 4 Electronic Journal of Probability 4 The Journal of Fourier Analysis and Applications 4 Acta Mathematica Sinica. English Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Analysis and Applications (Singapore) 4 Fractional Differential Calculus 3 Journal of the Franklin Institute 3 Journal of the Mathematical Society of Japan 3 Journal of Optimization Theory and Applications 3 Journal of Soviet Mathematics ...and 193 more Serials
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### Cited in 50 Fields

 1,049 Partial differential equations (35-XX) 404 Operator theory (47-XX) 239 Ordinary differential equations (34-XX) 225 Probability theory and stochastic processes (60-XX) 124 Integral equations (45-XX) 117 Fluid mechanics (76-XX) 103 Numerical analysis (65-XX) 98 Biology and other natural sciences (92-XX) 84 Functional analysis (46-XX) 83 Dynamical systems and ergodic theory (37-XX) 73 Systems theory; control (93-XX) 72 Differential geometry (53-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 51 Classical thermodynamics, heat transfer (80-XX) 48 Global analysis, analysis on manifolds (58-XX) 39 Mechanics of deformable solids (74-XX) 32 Real functions (26-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 29 Measure and integration (28-XX) 20 Statistical mechanics, structure of matter (82-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Potential theory (31-XX) 12 Abstract harmonic analysis (43-XX) 10 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 8 Difference and functional equations (39-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Optics, electromagnetic theory (78-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Computer science (68-XX) 5 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Manifolds and cell complexes (57-XX) 3 General topology (54-XX) 2 Nonassociative rings and algebras (17-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-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 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

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