Edit Profile (opens in new tab) Da Prato, Giuseppe Compute Distance To: Compute Author ID: da-prato.giuseppe Published as: Da Prato, Giuseppe; Da Prato, G.; da Prato, Giuseppe; da Prato, Guiseppe; Da Prato, Guiseppe; da Prato, G.; Prato, G. D.; Prato, Giuseppe da; DaPrato, Giuseppe; Da Prato, C. External Links: MGP · Wikidata · dblp · GND Documents Indexed: 389 Publications since 1965, including 19 Books 14 Contributions as Editor Co-Authors: 59 Co-Authors with 294 Joint Publications 2,244 Co-Co-Authors all top 5 Co-Authors 109 single-authored 48 Barbu, Viorel 46 Röckner, Michael 40 Tubaro, Luciano 27 Lunardi, Alessandra 25 Cannarsa, Piermarco 25 Debussche, Arnaud 22 Iannelli, Mimmo 21 Zabczyk, Jerzy 17 Bogachev, Vladimir Igorevich 11 Frankowska, Hélène 10 Flandoli, Franco 10 Zolésio, Jean-Paul 7 Aubin, Jean-Pierre 7 Grisvard, Pierre 7 Ichikawa, Akira 6 Clément, Philippe J. E. 6 Sinestrari, Eugenio 5 Delfour, Michel Claude 5 Goldys, Beniamin 3 Ambrosio, Luigi 3 Bensoussan, Alain 3 Cerrai, Sandra 3 Fuhrman, Marco 3 Malliavin, Paul 3 Mitter, Sanjoy K. 3 Pallara, Diego 3 Priola, Enrico 3 Shaposhnikov, Stanislav V. 2 Bonaccorsi, Stefano 2 Gątarek, Dariusz 2 Geymonat, Giuseppe 2 Giusti, Enrico 2 Mosco, Umberto 2 Sobol, Zeev 2 Tudor, Constantin 2 Wang, Feng-Yu 1 Blanchard, Philippe 1 Bohachev, V. I. 1 Bove, Antonio 1 Elworthy, K. David 1 Fano, Guido 1 Giusta, E. 1 Jentzen, Arnulf 1 Krylov, Nicolaĭ Vladimirovich 1 Kwapień, Stanisław 1 Lasiecka, Irena 1 Menaldi, Jose-Luis 1 Mennucci, Andrea Carlo Giuseppe 1 Metafune, Giorgio 1 Nualart, David 1 Pardoux, Etienne 1 Popa, Constantin Gh. 1 Pritchard, Anthony J. 1 Prüß, Jan Wilhelm 1 Rozovskii, Boris L. 1 Stannat, Wilhelm 1 Temam, Roger Meyer 1 Triggiani, Roberto 1 Veretennikov, Alexander Yu. 1 Vespri, Vincenzo Riccardo all top 5 Serials 16 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 13 Journal of Functional Analysis 13 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 12 SIAM Journal on Control and Optimization 12 Stochastic Analysis and Applications 11 Journal of Differential Equations 9 Communications in Partial Differential Equations 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Evolution Equations 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 The Annals of Probability 7 Differential and Integral Equations 6 Applied Mathematics and Optimization 6 Rendiconti del Seminario Matematico della Università di Padova 6 Probability Theory and Related Fields 6 Nonlinear Analysis. Theory, Methods & Applications 5 Lecture Notes in Mathematics 4 Journal of Mathematical Analysis and Applications 4 Stochastics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Stochastics and Stochastics Reports 4 NoDEA. Nonlinear Differential Equations and Applications 4 Doklady Mathematics 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 4 Lecture Notes in Pure and Applied Mathematics 4 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 3 Indiana University Mathematics Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Ricerche di Matematica 3 Journal of Integral Equations 3 Systems & Control Letters 3 Dynamic Systems and Applications 3 SIAM Journal on Mathematical Analysis 3 Stochastic Processes and their Applications 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Electronic Communications in Probability 3 Discrete and Continuous Dynamical Systems 3 Encyclopedia of Mathematics and Its Applications 3 Systems & Control: Foundations & Applications 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Communications in Mathematical Physics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Numerical Functional Analysis and Optimization 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Integral Equations and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bollettino della Unione Matematica Italiana. Series IV 2 Bollettino della Unione Matematica Italiana. Series V. A 2 London Mathematical Society Lecture Note Series 2 Bollettino dell’Unione Matematica Italiana. Series IX 2 Appunti dei Corsi Tenuti da Docenti della Scuola 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Control and Cybernetics 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Physica D 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Systems, Estimation, and Control 1 Potential Analysis 1 Set-Valued Analysis 1 Advances in Differential Equations 1 Mathematical Population Studies 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Rivista di Matematica della Università di Parma. Serie 6 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Cubo 1 Bollettino della Unione Matematica Italiana. Series III 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Quaderni di Matematica 1 Discrete and Continuous Dynamical Systems. Series S ...and 5 more Serials all top 5 Fields 212 Probability theory and stochastic processes (60-XX) 155 Partial differential equations (35-XX) 126 Operator theory (47-XX) 63 Systems theory; control (93-XX) 49 Ordinary differential equations (34-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 31 Functional analysis (46-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 17 Integral equations (45-XX) 14 General and overarching topics; collections (00-XX) 14 Measure and integration (28-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Potential theory (31-XX) 6 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 327 Publications have been cited 7,248 times in 4,644 Documents Cited by ▼ Year ▼ Stochastic equations in infinite dimensions. Zbl 0761.60052Da Prato, Giuseppe; Zabczyk, Jerzy 1,355 1992 Ergodicity for infinite dimensional systems. Zbl 0849.60052Da Prato, Giuseppe; Zabczyk, Jerzy 629 1996 Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077Da Prato, Giuseppe; Zabczyk, Jerzy 400 2014 Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034Da Prato, Giuseppe; Zabczyk, Jerzy 187 2008 Sommes d’opérateurs linéaires et équations différentielles opérationnelles. Zbl 0315.47009da Prato, Giuseppe; Grisvard, P. 161 1975 Differential operators with non dense domain. Zbl 0652.34069da Prato, Guiseppe; Sinestrari, E. 159 1987 Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 154 2007 Second order partial differential equations in Hilbert spaces. Zbl 1012.35001Da Prato, Giuseppe; Zabczyk, Jerzy 144 2002 Equations d’évolution abstraites non linéaires de type parabolique. Zbl 0471.35036da Prato, Giuseppe; Grisvard, Pierre 108 1979 Stochastic Burgers’ equation. Zbl 0824.35112Da Prato, Giuseppe; Debussche, Arnaud; Temam, Roger 105 1994 Kolmogorov equations for stochastic PDEs. Zbl 1066.60061Da Prato, Giuseppe 93 2004 An introduction to infinite-dimensional analysis. Zbl 1109.46001Da Prato, Giuseppe 93 2006 Strong solutions to the stochastic quantization equations. Zbl 1071.81070Da Prato, Giuseppe; Debussche, Arnaud 92 2003 Two-dimensional Navier-Stokes equations driven by a space-time white noise. Zbl 1013.60051Da Prato, Giuseppe; Debussche, Arnaud 80 2002 Ergodicity for the 3D stochastic Navier-Stokes equations. Zbl 1109.60047Da Prato, Giuseppe; Debussche, Arnaud 76 2003 Stochastic Cahn-Hilliard equation. Zbl 0838.60056Da Prato, Giuseppe; Debussche, Arnaud 76 1996 Regularity of solutions of linear stochastic equations in Hilbert spaces. Zbl 0634.60053da Prato, Guiseppe; Kwapień, S.; Zabczyk, J. 72 1987 On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004Da Prato, Giuseppe; Lunardi, Alessandra 69 1995 Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 68 1992 Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta. Zbl 0145.16207Da Prato, G. 67 1965 Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001Barbu, V.; Da Prato, G. 61 1983 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 59 2009 Periodic and almost periodic solutions for semilinear stochastic equations. Zbl 0816.60062Da Prato, Giuseppe; Tudor, Constantin 56 1995 Linear integro-differential equations in Banach spaces. Zbl 0451.45014Da Prato, G.; Iannelli, M. 56 1980 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 47 2013 Strong solutions of stochastic generalized porous media equations: existence, uniqueness, and ergodicity. Zbl 1158.60356Da Prato, G.; Röckner, Michael; Rozovskii, B. L.; Wang, Feng-Yu 46 2006 The viability theorem for stochastic differential inclusions. Zbl 0931.60059Aubin, Jean-Pierre; Da Prato, Giuseppe 44 1998 Stochastic Burgers equation with correlated noise. Zbl 0853.35138Da Prato, Giuseppe; Gatarek, Dariusz 41 1995 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 41 2009 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727Barbu, Viorel; Da Prato, Giuseppe 39 2007 Evolution equations with white-noise boundary conditions. Zbl 0814.60055Da Prato, Giuseppe; Zabczyk, J. 39 1993 An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction. Zbl 0303.34046Bove, A.; Da Prato, G.; Fano, Guido 39 1974 Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029Da Prato, Giuseppe; Röckner, Michael 38 2002 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 36 2009 Semigruppi regolarizzabili. Zbl 0195.41001Da Prato, G. 35 1966 On parabolic equations for measures. Zbl 1323.35058Bogachev, V. I.; Da Prato, G.; Röckner, M. 34 2008 Quadratic control for linear time-varying systems. Zbl 0692.49006Da Prato, Giuseppe; Ichikawa, Akira 33 1990 Existence and regularity for a class of integrodifferential equations of parabolic type. Zbl 0583.45009da Prato, Guiseppe; Iannelli, Mimmo 33 1985 A note on stochastic convolution. Zbl 0758.60049Da Prato, Giuseppe; Zabczyk, Jerzy 32 1992 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 32 2010 Existence and regularity results for an integral equation with infinite delay in a Banach space. Zbl 0668.45010Clément, Ph.; Da Prato, G. 31 1988 Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 31 1993 Una caratterizzazione dei generatori di funzioni coseno astratte. Zbl 0186.47702da Prato, Giuseppe; Giusta, E. 29 1967 Stochastic viability and invariance. Zbl 0741.60046Aubin, Jean-Pierre; da Prato, Giuseppe 29 1990 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 29 2008 Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044Da Prato, G.; Lunardi, A. 28 1988 Compact families of Wiener functionals. Zbl 0782.60002Da Prato, Giuseppe; Malliavin, Paul; Nualart, David 28 1992 Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020Cannarsa, Piermarco; da Prato, Giuseppe 27 1991 Applications croissantes et équations d’évolution dans les espaces de Banach. Zbl 0352.47002Da Prato, G. 27 1976 Maximal regularity for evolution equations by interpolation and extrapolation. Zbl 0593.47041Da Prato, G.; Grisvard, P. 26 1984 Weak solutions to stochastic porous media equations. Zbl 1049.60092Da Prato, Giuseppe; Röckner, Michael 26 2004 Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. Zbl 0762.60052Da Prato, Giuseppe; Zabczyk, Jerzy 24 1992 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 24 2016 Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055Da Prato, G. 23 1983 A stochastic Filippov theorem. Zbl 0810.60059da Prato, Guiseppe; Frankowska, H. 23 1994 Invariant measures for semilinear stochastic equations. Zbl 0758.60057Da Prato, Giuseppe; Gątarek, D.; Zabczyk, Jerzy 22 1992 Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W. 21 2007 Semigruppi distribuzioni analitici. Zbl 0198.47202Da Prato, G.; Mosco, U. 21 1965 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 Some properties of invariant measures of non symmetric dissipative stochastic systems. Zbl 1087.60049Da Prato, Giuseppe; Debussche, Arnaud; Goldys, Beniamin 20 2002 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 20 2010 Quadratic control for linear periodic systems. Zbl 0647.93057Da Prato, G.; Ichikawa, Akira 19 1988 Fully nonlinear stochastic partial differential equations. Zbl 0853.60052Da Prato, G.; Tubaro, L. 19 1996 Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025Da Prato, Giuseppe; Lunardi, Alessandra 19 2004 Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049Da Prato, Giuseppe; Frankowska, Hélène 19 2004 The stochastic nonlinear damped wave equation. Zbl 1024.47025Barbu, Viorel; Da Prato, Giuseppe 19 2002 Stochastic wave equations with dissipative damping. Zbl 1122.60056Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 18 2007 On extrapolation spaces. Zbl 0527.46055Da Prato, Giuseppe; Grisvard, Pierre 18 1982 Direct solution of a Riccati equation arising in stochastic control theory. Zbl 0555.93070Da Prato, G. 18 1984 Strong Feller property for stochastic semilinear equations. Zbl 0817.60081Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy 18 1995 Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025Da Prato, Giuseppe; Zabczyk, Jerzy 18 1997 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 18 2009 Semigruppi di crescenza n. Zbl 0198.16801da Prato, Giuseppe 18 1966 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 18 2016 Stochastic Nagumo’s viability theorem. Zbl 0816.60053Aubin, J. P.; Da Prato, Giuseppe 17 1995 A direct study of the Riccati equation arising in hyperbolic boundary control problems. Zbl 0601.49003Da Prato, G.; Lasiecka, I.; Triggiani, R. 17 1986 Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients. Zbl 1002.35035Da Prato, Giuseppe; Goldys, Beniamin 17 2002 Construction of stochastic inertial manifolds using backward integration. Zbl 0876.60040Da Prato, Giuseppe; Debussche, Arnaud 17 1996 Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael 17 2004 Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Zbl 1161.47027Bogachev, V. I.; Da Prato, G.; Röckner, M. 17 2009 Weak solutions for linear abstract differential equations in Banach spaces. Zbl 0244.34048Da Prato, G. 17 1970 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 17 2015 Hölder regularity for non-autonomous abstract parabolic equations. Zbl 0495.47031Da Prato, Giuseppe; Sinestrari, Eugenio 16 1982 Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016Cannarsa, P.; Da Prato, G. 16 1992 Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 16 2011 \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128Da Prato, Giuseppe; Debussche, Arnaud 16 2007 Some results about dissipativity of Kolmogorov operators. Zbl 0996.47028Da Prato, Giuseppe; Tubaro, Luciano 15 2001 The two phase stochastic Stefan problem. Zbl 1101.60040Barbu, Viorel; Da Prato, Giuseppe 15 2002 On a method for studying abstract evolution equations in the hyperbolic case. Zbl 0358.34063da Prato, Giuseppe; Iannelli, Mimmo 15 1976 Quelques résultats d’existence, unicité et régularité pour un problème de la théorie du contrôle. Zbl 0289.93027Da Prato, G. 15 1974 White noise perturbation of the equations of linear parabolic viscoelasticity. Zbl 0911.45010Clément, Ph.; Da Prato, G.; Prüss, J. 14 1997 Non autonomous evolution operators of hyperbolic type. Zbl 0791.47040Da Prato, Giuseppe; Sinestrari, Eugenio 14 1992 Invariant measues for a stochastic porous medium equation. Zbl 1102.76074Da Prato, Giuseppe; Röckner, Michael 14 2004 Regularity of solutions of a class of linear integrodifferential equations in Banach spaces. Zbl 0576.45011da Prato, Guiseppe; Iannelli, Mimmo; Sinestrari, E. 14 1985 Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization. Zbl 0971.47019Da Prato, Giuseppe; Tubaro, Luciano 14 2000 Some results on linear stochastic differential equations in Hilbert spaces. Zbl 0475.60041Da Prato, G.; Iannelli, M.; Tubaro, L. 14 1982 Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044Da Prato, Giuseppe; Lunardi, Alessandra 14 2007 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 14 2009 Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001Da Prato, Giuseppe 13 2014 Introduction to measure theory and integration. Zbl 1264.28001Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea 13 2011 Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène 2 2020 A mild Itô formula for SPDEs. Zbl 1423.35472Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 13 2019 On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 1 2019 Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 1 2019 Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 9 2018 Construction of a surface integral under local Malliavin assumptions, and related integration by parts formulas. Zbl 1394.60029Bonaccorsi, Stefano; Da Prato, Giuseppe; Tubaro, Luciano 3 2018 Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532Cannarsa, P.; Da Prato, G.; Frankowska, H. 3 2018 Gradient estimates for SDEs without monotonicity type conditions. Zbl 1430.60048Da Prato, Giuseppe; Priola, Enrico 1 2018 An integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Zbl 1364.60080Da Prato, Giuseppe; Debussche, Arnaud 6 2017 Surface integrals in Hilbert spaces for general measures and applications. Zbl 1436.46044Da Prato, Giuseppe 1 2017 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 24 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 18 2016 Estimate for \(P_{t}D\) for the stochastic Burgers equation. Zbl 1350.60057Da Prato, Giuseppe; Debussche, Arnaud 6 2016 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 17 2015 An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V. 8 2015 On the uniqueness of solutions to continuity equations. Zbl 1333.35312Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. 7 2015 Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514Da Prato, Giuseppe; Lunardi, Alessandra 6 2015 Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077Da Prato, Giuseppe; Zabczyk, Jerzy 400 2014 Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001Da Prato, Giuseppe 13 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 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 2014 A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise. Zbl 1318.60068Cerrai, Sandra; Da Prato, Giuseppe 4 2014 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 47 2013 Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359Da Prato, Giuseppe; Lunardi, Alessandra 8 2013 Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component. Zbl 1304.60071Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco 4 2013 Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167Da Prato, G.; Flandoli, F.; Röckner, M. 2 2013 Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects. Zbl 1247.60099Bonaccorsi, Stefano; da Prato, Giuseppe; Tubaro, Luciano 8 2012 Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Zbl 1243.60046Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 8 2012 The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 5 2012 Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155Cerrai, Sandra; Da Prato, Giuseppe 4 2012 Bounded variation with respect to a log-concave measure. Zbl 1257.26009Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego 3 2012 Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities. Zbl 1257.35183Da Prato, Giuseppe; Röckner, Michael 1 2012 Invariance for stochastic reaction-diffusion equations. Zbl 1262.60057Cannarsa, Piermarco; Da Prato, Giuseppe 1 2012 Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 16 2011 Introduction to measure theory and integration. Zbl 1264.28001Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea 13 2011 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II. Zbl 1230.60081Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 11 2011 Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116Barbu, Viorel; da Prato, Giuseppe 8 2011 Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054Cannarsa, Piermarco; Da Prato, Giuseppe 4 2011 Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 2 2011 A reflection type problem for the stochastic 2-D Navier-Stokes equations with periodic conditions. Zbl 1404.76070Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 1 2011 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 32 2010 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 20 2010 On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172Da Prato, Giuseppe; Lunardi, Alessandra 7 2010 Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053Cannarsa, P.; Da Prato, G.; Frankowska, H. 7 2010 Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062Barbu, Viorel; da Prato, Giuseppe 4 2010 BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego 4 2010 Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051Bohachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. 3 2010 Asymptotic behavior of stochastic PDEs with random coefficients. Zbl 1213.37122da Prato, Giuseppe; Debussche, Arnaud 2 2010 Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098Da Prato, Giuseppe; Lunardi, Alessandra 1 2010 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 59 2009 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 41 2009 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 36 2009 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 18 2009 Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Zbl 1161.47027Bogachev, V. I.; Da Prato, G.; Röckner, M. 17 2009 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 14 2009 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 13 2009 Erratum: Singular dissipative stochastic equations in Hilbert spaces. Zbl 1165.47031Da Prato, Giuseppe; Röckner, Michael 2 2009 Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034Da Prato, Giuseppe; Zabczyk, Jerzy 187 2008 On parabolic equations for measures. Zbl 1323.35058Bogachev, V. I.; Da Prato, G.; Röckner, M. 34 2008 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 29 2008 A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050da Prato, Giuseppe; Röckner, Michael 12 2008 2D stochastic Navier-Stokes equations with a time-periodic forcing term. Zbl 1154.35099Da Prato, Giuseppe; Debussche, Arnaud 11 2008 The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034Barbu, Viorel; da Prato, Giuseppe 10 2008 Parabolic equations for measures on infinite-dimensional spaces. Zbl 1221.35442Bogachev, V. I.; Da Prato, G.; Röckner, M. 8 2008 On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations. Zbl 1194.76033Da Prato, Giuseppe; Debussche, Arnaud 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 Some results on stochastic porous media equations. Zbl 1205.60109Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 5 2008 The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355Barbu, Viorel; da Prato, Giuseppe 4 2008 Introduction to stochastic analysis and Malliavin calculus. 2nd ed. Zbl 1167.60012Da Prato, Giuseppe 4 2008 Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael 2 2008 Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Zbl 1221.60096Bogachev, V. I.; Da Prato, G.; Röckner, M. 1 2008 SPDE in hydrodynamic: Recent progress and prospects. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, August 29–September 3, 2005. Zbl 1138.76006 1 2008 The Kolmogorov operator associated with a stochastic variational inequality in \(\mathbb R^n\) with convex potential. Zbl 1174.60039Barbu, Viorel; Da Prato, Giuseppe 1 2008 Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 154 2007 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727Barbu, Viorel; Da Prato, Giuseppe 39 2007 Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W. 21 2007 Stochastic wave equations with dissipative damping. Zbl 1122.60056Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 18 2007 \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128Da Prato, Giuseppe; Debussche, Arnaud 16 2007 Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044Da Prato, Giuseppe; Lunardi, Alessandra 14 2007 Stochastic viability of convex sets. Zbl 1117.60060Da Prato, Giuseppe; Frankowska, Hélène 11 2007 A modified Kardar-Parisi-Zhang model. Zbl 1136.60043Da Prato, Giuseppe; Debussche, Arnaud; Tubaro, Luciano 7 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 Some results of backward Itô formula. Zbl 1129.60051Da Prato, Giuseppe; Menaldi, Jose-Luis; Tubaro, Luciano 5 2007 Introduction to stochastic analysis and Malliavin calculus. Zbl 1163.60001Da Prato, Giuseppe 5 2007 Kolmogorov equations for stochastic PDE’s with multiplicative noise. Zbl 1138.60045Da Prato, Giuseppe 4 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 An introduction to infinite-dimensional analysis. Zbl 1109.46001Da Prato, Giuseppe 93 2006 Strong solutions of stochastic generalized porous media equations: existence, uniqueness, and ergodicity. Zbl 1158.60356Da Prato, G.; Röckner, Michael; Rozovskii, B. L.; Wang, Feng-Yu 46 2006 Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123Barbu, Viorel; Da Prato, Giuseppe 12 2006 Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael 11 2006 Dissipative stochastic equations in Hilbert space with time dependent coefficients. Zbl 1150.47030Da Prato, Giuseppe; Röckner, Michael 7 2006 Stochastic partial differential equations and applications – VII. Papers of the 7th meeting, Levico, Terme, Italy, January 5–10, 2004. Zbl 1079.60009 7 2006 The stochastic obstacle problem for the harmonic oscillator with damping. Zbl 1093.60026Barbu, Viorel; Da Prato, Giuseppe 7 2006 Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390Da Prato, Giuseppe; Lunardi, Alessandra 2 2006 The Neumann problem on unbounded domains of \(\mathbb R^d\) and stochastic variational inequalities. Zbl 1130.35137Barbu, Viorel; Da Prato, Giuseppe 9 2005 Coupling for some partial differential equations driven by white noise. Zbl 1079.60061Da Prato, Giuseppe; Debussche, Arnaud; Tubaro, Luciano 4 2005 Irreducibility of the transition semigroup associated with the stochastic obstacle problem. Zbl 1086.60043Barbu, Viorel; da Prato, Giuseppe 2 2005 Irreducibility of the transition semigroup associated with the two phase Stefan problem. Zbl 1104.35070Barbu, Viorel; Da Prato, Giuseppe 2 2005 Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026Da Prato, Giuseppe; Frankowska, Hélène 2 2005 ...and 227 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,763 Authors 143 Da Prato, Giuseppe 117 Röckner, Michael 77 Barbu, Viorel 61 Flandoli, Franco 48 Brzeźniak, Zdzisław 40 Lunardi, Alessandra 37 Hairer, Martin 37 Wang, Feng-Yu 36 Debussche, Arnaud 36 Duan, Jinqiao 36 Ezzinbi, Khalil 34 Jentzen, Arnulf 29 Cerrai, Sandra 28 Blömker, Dirk 27 Bogachev, Vladimir Igorevich 26 Albeverio, Sergio A. 26 Goldys, Beniamin 26 Gozzi, Fausto 26 Guo, Boling 26 Maslowski, Bohdan 26 Priola, Enrico 25 Gess, Benjamin 25 Yan, Zuomao 25 Zhang, Tusheng S. 24 Zhu, RongChan 23 Lizama, Carlos 23 Zabczyk, Jerzy 22 Huang, Jianhua 22 Liu, Wei 22 Zhang, Xicheng 21 Gao, Hongjun 21 Tubaro, Luciano 20 Lorenzi, Luca 19 Cannarsa, Piermarco 19 Caraballo Garrido, Tomás 19 Cuevas, Claudio 19 Glatt-Holtz, Nathan E. 19 Hausenblas, Erika 19 Lasiecka, Irena 19 Romito, Marco 19 Shaposhnikov, Stanislav V. 19 Zhu, Xiang-Chan 18 Bonaccorsi, Stefano 18 Razafimandimby, Paul André 18 Russo, Francesco 18 Tessitore, Gianmario 18 van Neerven, Jan M. A. M. 17 Di Blasio, Gabriella 17 Favini, Angelo 17 Hofmanová, Martina 17 Kloeden, Peter Eris 17 Oh, Tadahiro 17 Xu, Lihu 17 Zhao, Huaizhong 16 Ferrario, Benedetta 16 Fuhrman, Marco 16 Gubinelli, Massimiliano 16 Hong, Jialin 16 Kovács, Mihály 16 Larsson, Stig 16 Liu, Kai 16 Raymond, Jean-Pierre 16 Schwab, Christoph 15 Balasubramaniam, Pagavathigounder 15 Clément, Philippe J. E. 15 Kim, Jong Uhn 15 Kühn, Christian 15 Melnikova, Irina V. 15 Mohan, Manil Thankamani 15 Scarpa, Luca 15 Stuart, Andrew M. 15 Temam, Roger Meyer 15 Wang, Wei 15 Wang, Xiaojie 15 Yuan, Chenggui 14 Diop, Mamadou Abdoul 14 Frankowska, Hélène 14 Luo, Dejun 14 Masiero, Federica 14 Pallara, Diego 14 Pandey, Dwijendra Narain 14 Peszat, Szymon 14 Veraar, Mark C. 14 Wang, Ran 14 Weber, Hendrik 13 Bao, Jianhai 13 Labbas, Rabah 13 Liu, Meng 13 Marinelli, Carlo 13 Michta, Mariusz 13 Prüß, Jan Wilhelm 13 Stannat, Wilhelm 13 Tachim Medjo, Theodore 13 Triggiani, Roberto 13 Wang, Yongjin 13 Yamazaki, Kazuo 13 Zhai, Jianliang 12 Benchohra, Mouffak 12 Bessaih, Hakima 12 Dong, Zhao ...and 3,663 more Authors all top 5 Cited in 486 Serials 241 Journal of Mathematical Analysis and Applications 219 Journal of Differential Equations 170 Stochastic Processes and their Applications 165 Journal of Functional Analysis 126 Stochastic Analysis and Applications 102 Nonlinear Analysis. 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Hybrid Systems 10 Communications on Pure and Applied Mathematics 10 BIT 10 Integral Equations and Operator Theory 10 Applied Numerical Mathematics 10 Journal of Dynamical and Control Systems 10 Boundary Value Problems 9 Journal of Mathematical Biology 9 Advances in Mathematics 9 Numerical Functional Analysis and Optimization ...and 386 more Serials all top 5 Cited in 55 Fields 2,775 Probability theory and stochastic processes (60-XX) 2,209 Partial differential equations (35-XX) 771 Operator theory (47-XX) 620 Systems theory; control (93-XX) 613 Ordinary differential equations (34-XX) 405 Fluid mechanics (76-XX) 390 Dynamical systems and ergodic theory (37-XX) 376 Numerical analysis (65-XX) 374 Calculus of variations and optimal control; optimization (49-XX) 179 Integral equations (45-XX) 173 Functional analysis (46-XX) 157 Statistical mechanics, structure of matter (82-XX) 155 Biology and other natural sciences (92-XX) 121 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Quantum theory (81-XX) 77 Real functions (26-XX) 76 Statistics (62-XX) 75 Mechanics of deformable solids (74-XX) 67 Global analysis, analysis on manifolds (58-XX) 60 Measure and integration (28-XX) 44 Potential theory (31-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 40 Geophysics (86-XX) 38 Operations research, mathematical programming (90-XX) 33 Abstract harmonic analysis (43-XX) 32 Mechanics of particles and systems (70-XX) 27 Differential geometry (53-XX) 26 Difference and functional equations (39-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 Integral transforms, operational calculus (44-XX) 17 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Optics, electromagnetic theory (78-XX) 12 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 10 Information and communication theory, circuits (94-XX) 6 Astronomy and astrophysics (85-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 4 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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