Edit Profile (opens in new tab) Lunardi, Alessandra Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0816.35001Lunardi, Alessandra 832 1995 Interpolation theory. 2nd ed. Zbl 1171.41001Lunardi, Alessandra 83 2009 On the linear heat equation with fading memory. Zbl 0716.35031Lunardi, Alessandra 71 1990 On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004Da Prato, Giuseppe; Lunardi, Alessandra 69 1995 Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001Lunardi, Alessandra 65 2013 Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in \(\mathbb{R}^ n\). Zbl 0887.35062Lunardi, Alessandra 48 1997 Interpolation theory. 3rd edition. Zbl 1394.46001Lunardi, Alessandra 38 2018 Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035Lunardi, Alessandra 36 1985 On the Ornstein-Uhlenbeck operator in \(L^ 2\) spaces with respect to invariant measures. Zbl 0890.35030Lunardi, Alessandra 33 1997 Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in \(\mathbb{R}^n\). Zbl 0899.35014Lunardi, Alessandra 31 1998 Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044Da Prato, G.; Lunardi, A. 28 1988 \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019Lunardi, Alessandra; Sinestrari, Eugenio 25 1986 Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra 23 2010 Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102Cerrai, Sandra; Lunardi, Alessandra 23 2017 Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047Lunardi, A. 21 1989 Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013Da Prato, Giuseppe; Lunardi, Alessandro 20 1988 Laplace transform methods in integrodifferential equations. Zbl 0587.45015Lunardi, Alessandra 19 1985 Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025Da Prato, Giuseppe; Lunardi, Alessandra 19 2004 Invariant measures and maximal \(L^{2}\) regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030Geissert, Matthias; Lunardi, Alessandra 19 2008 Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042Celada, Pietro; Lunardi, Alessandra 17 2014 A general approach to stability in free boundary problems. Zbl 0973.35200Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 17 2000 Abstract quasilinear parabolic equations. Zbl 0547.35054Lunardi, Alessandra 15 1984 Interpolation theory. Zbl 1165.41300Lunardi, Alessandra 15 1999 Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. Zbl 1117.35018Farkas, B.; Lunardi, A. 15 2006 A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf 14 1992 Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044Da Prato, Giuseppe; Lunardi, Alessandra 14 2007 Fully nonlinear integrodifferential equations in general Banach space. Zbl 0563.45013Lunardi, Alessandra; Sinestrari, Eugenio 13 1985 Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030Brauner, Claude-Michel; Lunardi, Alessandra 13 2000 Optimal \(L^ \infty\) and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034Lunardi, Alessandra; Vespri, Vincenzo 13 1998 Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo 13 2012 Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033Geissert, Matthias; Lunardi, Alessandra 12 2009 Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra 12 2013 On the evolution operator for abstract parabolic equations. Zbl 0655.47036Lunardi, Alessandra 12 1987 Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291Da Prato, Giuseppe; Lunardi, Alessandra 12 2014 Asymptotic exponential stability in quasilinear parabolic equations. Zbl 0579.35038Lunardi, Alessandra 11 1985 Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro 11 2010 Global solutions of abstract quasilinear parabolic equations. Zbl 0526.35039Lunardi, Alessandra 10 1985 Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in \(L^p(\mathbb{R}^n)\). Zbl 0899.35027Lunardi, Alessandra; Vespri, Vincenzo 10 1996 Surface measures in infinite dimension. Zbl 1301.28009Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano 10 2014 Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 9 2018 Maximal regularity for stochastic convolutions in \(L^p\) spaces. Zbl 0924.60029Da Prato, Giuseppe; Lunardi, Alessandra 9 1998 Analyticity of the maximal solution of an abstract nonlinear parabolic equation. Zbl 0486.35017Lunardi, Alessandra 8 1982 Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134Lunardi, A.; Metafune, G.; Pallara, D. 8 2005 An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030Lunardi, Alessandra 8 1996 Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359Da Prato, Giuseppe; Lunardi, Alessandra 8 2013 Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116Baconneau, Olivier; Lunardi, Alessandra 8 2004 A critical case of stability in a free boundary problem. Zbl 0973.35036Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 7 2001 On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172Da Prato, Giuseppe; Lunardi, Alessandra 7 2010 Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland 7 2005 Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066Da Prato, Giuseppe; Lunardi, Alessandra 6 1986 Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514Da Prato, Giuseppe; Lunardi, Alessandra 6 2015 Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041Lunardi, Alessandra 6 1988 An introduction to parabolic moving boundary problems. Zbl 1082.35169Lunardi, Alessandra 6 2004 On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures. Zbl 1220.35032Da Prato, Giuseppe; Lunardi, Alessandra 6 2007 Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015Lorenzi, Luca; Lunardi, Alessandra 6 2006 BV functions on convex domains in Wiener spaces. Zbl 1321.28027Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego 6 2015 Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007Da Prato, Giuseppe; Lunardi, Alessandra 6 1990 On the \(\kappa\)-\(\theta\) model of cellular flames: existence in the large and asymptotics. Zbl 1152.35010Brauner, Claude-Michel; Frankel, Michael L.; Hulshof, Josephus; Lunardi, Alessandra; Sivashinsky, Gregory I. 6 2008 On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037da Prato, Giuseppe; Lunardi, Alessandra 6 2008 Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007Lunardi, Alessandra; Segal, J. 6 1988 On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045Lunardi, Alessandra 6 1987 Existence in the large and stability for nonlinear Volterra equations. Zbl 0587.45016Lunardi, Alessandra; Sinestrari, Eugenio 5 1985 Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl. 5 1994 Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102Brauner, Claude-Michel; Lunardi, Alessandra 5 2001 On Fredholm properties of \({\mathfrak L}u=u'-A(t)u\) for paths of sectorial operators. Zbl 1066.34061di Giorgia, Davide; Lunardi, Alessandra 5 2005 Nonlinear parabolic equations and systems. Zbl 1087.35001Lunardi, Alessandra 5 2004 On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345Da Prato, Giuseppe; Lunardi, Alessandra 5 2004 Stabilization of time-periodic parabolic equations. Zbl 0741.35022Lunardi, Alessandra 4 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 0721.76046Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine 4 1990 Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048Lunardi, Alessandra 4 1988 Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra 3 2000 Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021Lunardi, Alessandra; Vespri, Vincenzo 3 1991 Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland 3 2016 Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064Lunardi, 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 0707.76065Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine 3 1990 Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013Da Prato, Giuseppe; Lunardi, Alessandra 3 1987 On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. Zbl 1132.47039Da Prato, Giuseppe; Lunardi, Alessandra 3 2007 Characterization of some interpolation spaces. I. Zbl 0528.46057Lunardi, Alessandra 2 1982 On a class of fully nonlinear parabolic equations. Zbl 0738.35032Lunardi, Alessandra 2 1991 Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040Alabau, Fatiha; Lunardi, Alessandra 2 1992 Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187Lunardi, Alessandra 2 1992 Stability in fully nonlinear parabolic equations. Zbl 0832.35069Lunardi, Alessandra 2 1995 On the domains of elliptic operators in \(L^1\). Zbl 1164.35365Lunardi, Alessandra; Metafune, Giorgio 2 2004 Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160Lorenzi, Luca; Lunardi, Alessandra 2 2003 Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in \(\mathbb R^{d}\). Zbl 1250.35035Lunardi, Alessandra 2 2011 Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390Da Prato, Giuseppe; Lunardi, Alessandra 2 2006 On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 1 2019 Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part. Zbl 1332.35179Angiuli, Luciana; Lunardi, Alessandra 1 2015 Fully nonlinear integrodifferential equations in general Banach space. Zbl 0549.45004Lunardi, Alessandra; Sinestrari, Eugenio 1 1985 An extension of Schauder’s theorem to little-Hölder continuous functions. Zbl 0552.35041Lunardi, Alessandra 1 1984 Stabilizability of parabolic equations. Zbl 0764.35046Lunardi, Alessandra 1 1989 Stability of travelling waves in a multidimensional free boundary problem. Zbl 1032.35082Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine 1 2001 Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl. 1 1996 Regularity for a class of sums of noncommuting operators. Zbl 0926.47025Lunardi, Alessandro 1 1999 Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183Cerrai, Sandra; Lunardi, Alessandra 1 2019 Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072Lunardi, Alessandra 1 1989 An identification problem in the theory of heat conduction. Zbl 0728.35135Lorenzi, Alfredo; Lunardi, Alessandra 1 1990 The speed law for highly radiative flames in a gaseous mixture with large activation energy. Zbl 1130.80009van den Berg, Jan Bouwe; Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 1 2005 Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041Guatteri, Giuseppina; Lunardi, Alessandra 1 2005 \(C^{\infty}\) regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003Lunardi, Alessandra 1 1986 On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 1 2019 Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. Zbl 1422.35183Cerrai, Sandra; Lunardi, Alessandra 1 2019 Interpolation theory. 3rd edition. Zbl 1394.46001Lunardi, Alessandra 38 2018 Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 9 2018 Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102Cerrai, Sandra; Lunardi, Alessandra 23 2017 Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland 3 2016 Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514Da Prato, Giuseppe; Lunardi, Alessandra 6 2015 BV functions on convex domains in Wiener spaces. Zbl 1321.28027Lunardi, Alessandra; Miranda, Michele jun.; Pallara, Diego 6 2015 Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part. Zbl 1332.35179Angiuli, Luciana; Lunardi, Alessandra 1 2015 Traces of Sobolev functions on regular surfaces in infinite dimensions. Zbl 1308.46042Celada, Pietro; Lunardi, Alessandra 17 2014 Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291Da Prato, Giuseppe; Lunardi, Alessandra 12 2014 Surface measures in infinite dimension. Zbl 1301.28009Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano 10 2014 Analytic semigroups and optimal regularity in parabolic problems. Reprint of the 1995 hardback ed. Zbl 1261.35001Lunardi, Alessandra 65 2013 Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra 12 2013 Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359Da Prato, Giuseppe; Lunardi, Alessandra 8 2013 Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006Caselles, 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 1250.35035Lunardi, Alessandra 2 2011 Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra 23 2010 Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro 11 2010 On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172Da Prato, Giuseppe; Lunardi, Alessandra 7 2010 Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098Da Prato, Giuseppe; Lunardi, Alessandra 1 2010 Interpolation theory. 2nd ed. Zbl 1171.41001Lunardi, Alessandra 83 2009 Asymptotic behavior and hypercontractivity in non-autonomous Ornstein–Uhlenbeck equations. Zbl 1163.47033Geissert, Matthias; Lunardi, Alessandra 12 2009 Invariant measures and maximal \(L^{2}\) regularity for nonautonomous Ornstein–Uhlenbeck equations. Zbl 1153.47030Geissert, Matthias; Lunardi, Alessandra 19 2008 On the \(\kappa\)-\(\theta\) model of cellular flames: existence in the large and asymptotics. Zbl 1152.35010Brauner, Claude-Michel; Frankel, Michael L.; Hulshof, Josephus; Lunardi, Alessandra; Sivashinsky, Gregory I. 6 2008 On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037da Prato, Giuseppe; Lunardi, Alessandra 6 2008 Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044Da Prato, Giuseppe; Lunardi, Alessandra 14 2007 On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures. Zbl 1220.35032Da Prato, Giuseppe; Lunardi, Alessandra 6 2007 On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. Zbl 1132.47039Da Prato, Giuseppe; Lunardi, Alessandra 3 2007 Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. Zbl 1117.35018Farkas, B.; Lunardi, A. 15 2006 Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015Lorenzi, Luca; Lunardi, Alessandra 6 2006 Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390Da Prato, Giuseppe; Lunardi, Alessandra 2 2006 Dirichlet boundary conditions for elliptic operators with unbounded drift. Zbl 1210.35134Lunardi, A.; Metafune, G.; Pallara, D. 8 2005 Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland 7 2005 On Fredholm properties of \({\mathfrak L}u=u'-A(t)u\) for paths of sectorial operators. Zbl 1066.34061di Giorgia, Davide; Lunardi, Alessandra 5 2005 The speed law for highly radiative flames in a gaseous mixture with large activation energy. Zbl 1130.80009van den Berg, Jan Bouwe; Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 1 2005 Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems. Zbl 1103.35041Guatteri, Giuseppina; Lunardi, Alessandra 1 2005 Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025Da Prato, Giuseppe; Lunardi, Alessandra 19 2004 Smooth solutions to a class of free boundary parabolic problems. Zbl 1092.35116Baconneau, Olivier; Lunardi, Alessandra 8 2004 An introduction to parabolic moving boundary problems. Zbl 1082.35169Lunardi, Alessandra 6 2004 Nonlinear parabolic equations and systems. Zbl 1087.35001Lunardi, Alessandra 5 2004 On a class of elliptic operators with unbounded coefficients in convex domains. Zbl 1162.35345Da Prato, Giuseppe; Lunardi, Alessandra 5 2004 On the domains of elliptic operators in \(L^1\). Zbl 1164.35365Lunardi, Alessandra; Metafune, Giorgio 2 2004 Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160Lorenzi, Luca; Lunardi, Alessandra 2 2003 A critical case of stability in a free boundary problem. Zbl 0973.35036Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 7 2001 Bifurcation of nonplanar travelling waves in a free boundary problem. Zbl 0981.35102Brauner, Claude-Michel; Lunardi, Alessandra 5 2001 Stability of travelling waves in a multidimensional free boundary problem. Zbl 1032.35082Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine 1 2001 A general approach to stability in free boundary problems. Zbl 0973.35200Brauner, Claude-Michel; Hulshof, Josephus; Lunardi, Alessandra 17 2000 Instabilities in a two-dimensional combustion model with free boundary. Zbl 0984.76030Brauner, Claude-Michel; Lunardi, Alessandra 13 2000 Computation of bifurcated branches in a free boundary problem arising in combustion theory. Zbl 0962.65072Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra 3 2000 Interpolation theory. Zbl 1165.41300Lunardi, Alessandra 15 1999 Regularity for a class of sums of noncommuting operators. Zbl 0926.47025Lunardi, Alessandro 1 1999 Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in \(\mathbb{R}^n\). Zbl 0899.35014Lunardi, Alessandra 31 1998 Optimal \(L^ \infty\) and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034Lunardi, Alessandra; Vespri, Vincenzo 13 1998 Maximal regularity for stochastic convolutions in \(L^p\) spaces. Zbl 0924.60029Da Prato, Giuseppe; Lunardi, Alessandra 9 1998 Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in \(\mathbb{R}^ n\). Zbl 0887.35062Lunardi, Alessandra 48 1997 On the Ornstein-Uhlenbeck operator in \(L^ 2\) spaces with respect to invariant measures. Zbl 0890.35030Lunardi, Alessandra 33 1997 Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in \(L^p(\mathbb{R}^n)\). Zbl 0899.35027Lunardi, Alessandra; Vespri, Vincenzo 10 1996 An interpolation method to characterize domains of generators of semigroups. Zbl 0859.47030Lunardi, Alessandra 8 1996 Stability of travelling waves in combustion problems: A fully nonlinear approach. Zbl 0852.35019Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl. 1 1996 Analytic semigroups and optimal regularity in parabolic problems. Zbl 0816.35001Lunardi, Alessandra 832 1995 On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004Da Prato, Giuseppe; Lunardi, Alessandra 69 1995 Stability in fully nonlinear parabolic equations. Zbl 0832.35069Lunardi, Alessandra 2 1995 Multi-dimensional stability analysis of planar travelling waves. Zbl 0814.35148Brauner, C.-M.; Lunardi, A.; Schmidt-Lainé, Cl. 5 1994 A semigroup approach to the time dependent parabolic initial-boundary value problem. Zbl 0758.34048Lunardi, Alessandra; Sinestrari, Eugenio; von Wahl, Wolf 14 1992 Behavior near the travelling wave solution of a free boundary system in combustion theory. Zbl 0818.35040Alabau, Fatiha; Lunardi, Alessandra 2 1992 Stability of the travelling waves in a class of free boundary problems arising in combustion theory. Zbl 0789.35187Lunardi, Alessandra 2 1992 Stabilization of time-periodic parabolic equations. Zbl 0741.35022Lunardi, Alessandra 4 1991 Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021Lunardi, Alessandra; Vespri, Vincenzo 3 1991 On a class of fully nonlinear parabolic equations. Zbl 0738.35032Lunardi, Alessandra 2 1991 On the linear heat equation with fading memory. Zbl 0716.35031Lunardi, Alessandra 71 1990 Stabilizability of integrodifferential parabolic equations. Zbl 0697.45007Da 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 0721.76046Brauner, 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 0707.76065Brauner, Claude-Michel; Lunardi, Alessandra; Schmidt-Lainé, Claudine 3 1990 An identification problem in the theory of heat conduction. Zbl 0728.35135Lorenzi, Alfredo; Lunardi, Alessandra 1 1990 Maximal space regularity in nonhomogeneous initial boundary value parabolic problems. Zbl 0653.35047Lunardi, A. 21 1989 Differentiability with respect to (t,s) of the parabolic evolution operator. Zbl 0697.35064Lunardi, Alessandra 3 1989 Stabilizability of parabolic equations. Zbl 0764.35046Lunardi, Alessandra 1 1989 Existence in the small and in the large in fully nonlinear parabolic equations. Zbl 0727.35072Lunardi, Alessandra 1 1989 Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044Da Prato, G.; Lunardi, A. 28 1988 Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013Da Prato, Giuseppe; Lunardi, Alessandro 20 1988 Bounded solutions of linear periodic abstract parabolic equations. Zbl 0673.35041Lunardi, Alessandra 6 1988 Regular solutions for time dependent abstract integrodifferential equations with singular kernel. Zbl 0638.45007Lunardi, Alessandra; Segal, J. 6 1988 Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces. Zbl 0723.34048Lunardi, Alessandra 4 1988 On the evolution operator for abstract parabolic equations. Zbl 0655.47036Lunardi, Alessandra 12 1987 On the local dynamical system associated to a fully nonlinear abstract parabolic equation. Zbl 0646.47045Lunardi, Alessandra 6 1987 Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay. Zbl 0634.45013Da Prato, Giuseppe; Lunardi, Alessandra 3 1987 Local stability results for the elastic beam equation. Zbl 0643.35055Lunardi, Alessandra 1 1987 Time analyticity for solutions of nonlinear abstract parabolic evolution equations. Zbl 0655.35028Lunardi, Alessandra 1 1987 Periodic solutions for autonomous fully nonlinear equations in Banach spaces. Zbl 0657.47058Da Prato, G.; Lunardi, A. 1 1987 \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type. Zbl 0596.45019Lunardi, Alessandra; Sinestrari, Eugenio 25 1986 Hopf bifurcation for fully nonlinear equations in Banach space. Zbl 0609.34066Da Prato, Giuseppe; Lunardi, Alessandra 6 1986 \(C^{\infty}\) regularity for fully nonlinear abstract evolution equations. Zbl 0638.34003Lunardi, Alessandra 1 1986 Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces. Zbl 0643.34075da Prato, Giuseppe; Lunardi, Alessandra 1 1986 Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Zbl 0568.47035Lunardi, Alessandra 36 1985 Laplace transform methods in integrodifferential equations. Zbl 0587.45015Lunardi, Alessandra 19 1985 Fully nonlinear integrodifferential equations in general Banach space. Zbl 0563.45013Lunardi, Alessandra; Sinestrari, Eugenio 13 1985 Asymptotic exponential stability in quasilinear parabolic equations. Zbl 0579.35038Lunardi, Alessandra 11 1985 Global solutions of abstract quasilinear parabolic equations. Zbl 0526.35039Lunardi, Alessandra 10 1985 Existence in the large and stability for nonlinear Volterra equations. Zbl 0587.45016Lunardi, Alessandra; Sinestrari, Eugenio 5 1985 ...and 5 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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