Edit Profile Da Prato, Giuseppe Compute Distance To: Compute Author ID: da-prato.giuseppe Published as: Da Prato, C.; Da Prato, G.; Da Prato, Giuseppe; Da Prato, Guiseppe; DaPrato, Giuseppe; Prato, G. D.; Prato, Giuseppe da; da Prato, G.; da Prato, Giuseppe; da Prato, Guiseppe External Links: MGP · Wikidata · dblp · GND Documents Indexed: 401 Publications since 1965, including 33 Books all top 5 Co-Authors 109 single-authored 48 Barbu, Viorel 45 Röckner, Michael 40 Tubaro, Luciano 26 Lunardi, Alessandra 25 Cannarsa, Piermarco 25 Debussche, Arnaud 22 Iannelli, Mimmo 21 Zabczyk, Jerzy 17 Bogachev, Vladimir Igorevich 11 Frankowska, Hélène 10 Zolésio, Jean-Paul 9 Flandoli, Franco 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 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 Stochastic and Partial Differential Equations. Analysis and Computations 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 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 1 Communications in Mathematics and Statistics ...and 3 more Serials all top 5 Fields 211 Probability theory and stochastic processes (60-XX) 154 Partial differential equations (35-XX) 126 Operator theory (47-XX) 63 Systems theory; control (93-XX) 49 Ordinary differential equations (34-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 30 Functional analysis (46-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Fluid mechanics (76-XX) 17 Integral equations (45-XX) 14 General and overarching topics; collections (00-XX) 13 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 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-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 322 Publications have been cited 6,837 times in 4,285 Documents Cited by ▼ Year ▼ Stochastic equations in infinite dimensions. Zbl 0761.60052Da Prato, Giuseppe; Zabczyk, Jerzy 1,417 1992 Ergodicity for infinite dimensional systems. Zbl 0849.60052Da Prato, Giuseppe; Zabczyk, Jerzy 588 1996 Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077Da Prato, Giuseppe; Zabczyk, Jerzy 288 2014 Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034Da Prato, Giuseppe; Zabczyk, Jerzy 161 2008 Differential operators with non dense domain. Zbl 0652.34069da Prato, Guiseppe; Sinestrari, E. 149 1987 Sommes d’opérateurs linéaires et équations différentielles opérationnelles. Zbl 0315.47009da Prato, Giuseppe; Grisvard, P. 147 1975 Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 139 2007 Second order partial differential equations in Hilbert spaces. Zbl 1012.35001Da Prato, Giuseppe; Zabczyk, Jerzy 138 2002 Equations d’évolution abstraites non linéaires de type parabolique. Zbl 0471.35036da Prato, Giuseppe; Grisvard, Pierre 106 1979 Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 103 1992 Stochastic Burgers’ equation. Zbl 0824.35112Da Prato, Giuseppe; Debussche, Arnaud; Temam, Roger 94 1994 Kolmogorov equations for stochastic PDEs. Zbl 1066.60061Da Prato, Giuseppe 88 2004 An introduction to infinite-dimensional analysis. Zbl 1109.46001Da Prato, Giuseppe 87 2006 Ergodicity for the 3D stochastic Navier-Stokes equations. Zbl 1109.60047Da Prato, Giuseppe; Debussche, Arnaud 69 2003 Regularity of solutions of linear stochastic equations in Hilbert spaces. Zbl 0634.60053da Prato, Guiseppe; Kwapień, S.; Zabczyk, J. 69 1987 Strong solutions to the stochastic quantization equations. Zbl 1071.81070Da Prato, Giuseppe; Debussche, Arnaud 66 2003 Two-dimensional Navier-Stokes equations driven by a space-time white noise. Zbl 1013.60051Da Prato, Giuseppe; Debussche, Arnaud 65 2002 Stochastic Cahn-Hilliard equation. Zbl 0838.60056Da Prato, Giuseppe; Debussche, Arnaud 65 1996 Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta. Zbl 0145.16207Da Prato, G. 64 1965 On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004Da Prato, Giuseppe; Lunardi, Alessandra 63 1995 Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001Barbu, V.; Da Prato, G. 56 1983 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 53 2009 Linear integro-differential equations in Banach spaces. Zbl 0451.45014Da Prato, G.; Iannelli, M. 53 1980 Periodic and almost periodic solutions for semilinear stochastic equations. Zbl 0816.60062Da Prato, Giuseppe; Tudor, Constantin 47 1995 Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 46 1993 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 43 2006 The viability theorem for stochastic differential inclusions. Zbl 0931.60059Aubin, Jean-Pierre; Da Prato, Giuseppe 42 1998 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. 41 2013 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 39 2009 An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction. Zbl 0303.34046Bove, A.; Da Prato, G.; Fano, Guido 37 1974 Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029Da Prato, Giuseppe; Röckner, Michael 36 2002 Stochastic Burgers equation with correlated noise. Zbl 0853.35138Da Prato, Giuseppe; Gatarek, Dariusz 36 1995 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 35 2009 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727Barbu, Viorel; Da Prato, Giuseppe 35 2007 Semigruppi regolarizzabili. Zbl 0195.41001Da Prato, G. 35 1966 Evolution equations with white-noise boundary conditions. Zbl 0814.60055Da Prato, Giuseppe; Zabczyk, J. 34 1993 On parabolic equations for measures. Zbl 1323.35058Bogachev, V. I.; Da Prato, G.; Röckner, M. 33 2008 Existence and regularity for a class of integrodifferential equations of parabolic type. Zbl 0583.45009da Prato, Guiseppe; Iannelli, Mimmo 32 1985 A note on stochastic convolution. Zbl 0758.60049Da Prato, Giuseppe; Zabczyk, Jerzy 31 1992 Quadratic control for linear time-varying systems. Zbl 0692.49006Da Prato, Giuseppe; Ichikawa, Akira 31 1990 Existence and regularity results for an integral equation with infinite delay in a Banach space. Zbl 0668.45010Clément, Ph.; Da Prato, G. 30 1988 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 28 2010 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 28 2008 Una caratterizzazione dei generatori di funzioni coseno astratte. Zbl 0186.47702da Prato, Giuseppe; Giusta, E. 28 1967 Stochastic viability and invariance. Zbl 0741.60046Aubin, Jean-Pierre; da Prato, Giuseppe 27 1990 Applications croissantes et équations d’évolution dans les espaces de Banach. Zbl 0352.47002Da Prato, G. 27 1976 Compact families of Wiener functionals. Zbl 0782.60002Da Prato, Giuseppe; Malliavin, Paul; Nualart, David 26 1992 Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020Cannarsa, Piermarco; da Prato, Giuseppe 26 1991 Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044Da Prato, G.; Lunardi, A. 26 1988 Weak solutions to stochastic porous media equations. Zbl 1049.60092Da Prato, Giuseppe; Röckner, Michael 24 2004 Maximal regularity for evolution equations by interpolation and extrapolation. Zbl 0593.47041Da Prato, G.; Grisvard, P. 24 1984 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 Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055Da Prato, G. 22 1983 Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W. 21 2007 Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. Zbl 0762.60052Da Prato, Giuseppe; Zabczyk, Jerzy 21 1992 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 Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025Da Prato, Giuseppe; Lunardi, Alessandra 19 2004 The stochastic nonlinear damped wave equation. Zbl 1024.47025Barbu, Viorel; Da Prato, Giuseppe 19 2002 Some properties of invariant measures of non symmetric dissipative stochastic systems. Zbl 1087.60049Da Prato, Giuseppe; Debussche, Arnaud; Goldys, Beniamin 19 2002 Fully nonlinear stochastic partial differential equations. Zbl 0853.60052Da Prato, G.; Tubaro, L. 19 1996 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 Strong Feller property for stochastic semilinear equations. Zbl 0817.60081Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy 18 1995 Quadratic control for linear periodic systems. Zbl 0647.93057Da Prato, G.; Ichikawa, Akira 18 1988 On extrapolation spaces. Zbl 0527.46055Da Prato, Giuseppe; Grisvard, Pierre 18 1982 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 17 2010 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 wave equations with dissipative damping. Zbl 1122.60056Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 17 2007 Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049Da Prato, Giuseppe; Frankowska, Hélène 17 2004 Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael 17 2004 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 Weak solutions for linear abstract differential equations in Banach spaces. Zbl 0244.34048Da Prato, G. 17 1970 Semigruppi di crescenza n. Zbl 0198.16801da Prato, Giuseppe 17 1966 \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128Da Prato, Giuseppe; Debussche, Arnaud 16 2007 Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients. Zbl 1002.35035Da Prato, Giuseppe; Goldys, Beniamin 16 2002 Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025Da Prato, Giuseppe; Zabczyk, Jerzy 16 1997 Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016Cannarsa, P.; Da Prato, G. 16 1992 Direct solution of a Riccati equation arising in stochastic control theory. Zbl 0555.93070Da Prato, G. 16 1984 Hölder regularity for non-autonomous abstract parabolic equations. Zbl 0495.47031Da Prato, Giuseppe; Sinestrari, Eugenio 16 1982 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 15 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 15 2016 Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 15 2011 The two phase stochastic Stefan problem. Zbl 1101.60040Barbu, Viorel; Da Prato, Giuseppe 15 2002 Quelques résultats d’existence, unicité et régularité pour un problème de la théorie du contrôle. Zbl 0289.93027Da Prato, G. 15 1974 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 14 2015 Some results about dissipativity of Kolmogorov operators. Zbl 0996.47028Da Prato, Giuseppe; Tubaro, Luciano 14 2001 Construction of stochastic inertial manifolds using backward integration. Zbl 0876.60040Da Prato, Giuseppe; Debussche, Arnaud 14 1996 Non autonomous evolution operators of hyperbolic type. Zbl 0791.47040Da Prato, Giuseppe; Sinestrari, Eugenio 14 1992 Regularity of solutions of a class of linear integrodifferential equations in Banach spaces. Zbl 0576.45011da Prato, Guiseppe; Iannelli, Mimmo; Sinestrari, E. 14 1985 On a method for studying abstract evolution equations in the hyperbolic case. Zbl 0358.34063da Prato, Giuseppe; Iannelli, Mimmo 14 1976 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 13 2009 A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050da Prato, Giuseppe; Röckner, Michael 13 2008 Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044Da Prato, Giuseppe; Lunardi, Alessandra 13 2007 White noise perturbation of the equations of linear parabolic viscoelasticity. Zbl 0911.45010Clément, Ph.; Da Prato, G.; Prüss, J. 13 1997 Some results on linear stochastic differential equations in Hilbert spaces. Zbl 0475.60041Da Prato, G.; Iannelli, M.; Tubaro, L. 13 1982 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 12 2009 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 12 2006 Invariant measues for a stochastic porous medium equation. Zbl 1102.76074Da Prato, Giuseppe; Röckner, Michael 12 2004 A mild Itô formula for SPDEs. Zbl 1423.35472Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 8 2019 Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano 6 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. 1 2018 An integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Zbl 1364.60080Da Prato, Giuseppe; Debussche, Arnaud 5 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 15 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 15 2016 Estimate for \(P_{t}D\) for the stochastic Burgers equation. Zbl 1350.60057Da Prato, Giuseppe; Debussche, Arnaud 5 2016 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 14 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. 7 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 5 2015 Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077Da Prato, Giuseppe; Zabczyk, Jerzy 288 2014 Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291Da Prato, Giuseppe; Lunardi, Alessandra 10 2014 Surface measures in infinite dimension. Zbl 1301.28009Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano 9 2014 Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001Da Prato, Giuseppe 9 2014 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 7 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 3 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. 41 2013 Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359Da Prato, Giuseppe; Lunardi, Alessandra 7 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 3 2013 Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167Da Prato, G.; Flandoli, F.; Röckner, M. 1 2013 Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects. Zbl 1247.60099Bonaccorsi, Stefano; da Prato, Giuseppe; Tubaro, Luciano 7 2012 Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Zbl 1243.60046Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 6 2012 Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155Cerrai, Sandra; Da Prato, Giuseppe 4 2012 The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 4 2012 Bounded variation with respect to a log-concave measure. Zbl 1257.26009Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego 2 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 15 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 Introduction to measure theory and integration. Zbl 1264.28001Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea 9 2011 Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116Barbu, Viorel; da Prato, Giuseppe 8 2011 Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 2 2011 Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054Cannarsa, Piermarco; Da Prato, Giuseppe 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 2 2011 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 28 2010 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 17 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 Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051Bohachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. 3 2010 BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego 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 53 2009 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 39 2009 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 35 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 13 2009 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 12 2009 Erratum: Singular dissipative stochastic equations in Hilbert spaces. Zbl 1165.47031Da Prato, Giuseppe; Röckner, Michael 1 2009 Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034Da Prato, Giuseppe; Zabczyk, Jerzy 161 2008 On parabolic equations for measures. Zbl 1323.35058Bogachev, V. I.; Da Prato, G.; Röckner, M. 33 2008 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 28 2008 A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050da Prato, Giuseppe; Röckner, Michael 13 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 a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037da Prato, Giuseppe; Lunardi, Alessandra 6 2008 On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations. Zbl 1194.76033Da Prato, Giuseppe; Debussche, Arnaud 5 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 3 2008 Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael 2 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 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 1138.76006Da Prato, Giuseppe (ed.); Röckner, Michael (ed.) 1 2008 Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K. 139 2007 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727Barbu, Viorel; Da Prato, Giuseppe 35 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 17 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 13 2007 Stochastic viability of convex sets. Zbl 1117.60060Da Prato, Giuseppe; Frankowska, Hélène 10 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 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 Some results of backward Itô formula. Zbl 1129.60051Da Prato, Giuseppe; Menaldi, Jose-Luis; Tubaro, Luciano 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 87 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 43 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 12 2006 Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123Barbu, Viorel; Da Prato, Giuseppe 11 2006 Dissipative stochastic equations in Hilbert space with time dependent coefficients. Zbl 1150.47030Da Prato, Giuseppe; Röckner, Michael 7 2006 The stochastic obstacle problem for the harmonic oscillator with damping. Zbl 1093.60026Barbu, Viorel; Da Prato, Giuseppe 7 2006 Stochastic partial differential equations and applications – VII. Papers of the 7th meeting, Levico, Terme, Italy, January 5–10, 2004. Zbl 1079.60009Da Prato, Giuseppe (ed.); Tubaro, Luciano (ed.) 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 Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026Da Prato, Giuseppe; Frankowska, Hélène 3 2005 Invariance of closed sets under stochastic control systems. Zbl 1107.93033Da Prato, Giuseppe; Frankowska, Hélène 1 2005 Irreducibility of the transition semigroup associated with the two phase Stefan problem. Zbl 1104.35070Barbu, Viorel; Da Prato, Giuseppe 1 2005 Irreducibility of the transition semigroup associated with the stochastic obstacle problem. Zbl 1086.60043Barbu, Viorel; da Prato, Giuseppe 1 2005 Kolmogorov equations for stochastic PDEs. Zbl 1066.60061Da Prato, Giuseppe 88 2004 Weak solutions to stochastic porous media equations. Zbl 1049.60092Da Prato, Giuseppe; Röckner, Michael 24 2004 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 17 2004 ...and 222 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,591 Authors 142 Da Prato, Giuseppe 110 Röckner, Michael 78 Barbu, Viorel 56 Flandoli, Franco 45 Brzeźniak, Zdzisław 40 Wang, Feng-Yu 39 Lunardi, Alessandra 37 Hairer, Martin 36 Debussche, Arnaud 36 Duan, Jinqiao 35 Ezzinbi, Khalil 29 Blömker, Dirk 28 Cerrai, Sandra 27 Jentzen, Arnulf 26 Goldys, Beniamin 26 Zhang, Tusheng S. 25 Guo, Boling 25 Maslowski, Bohdan 25 Priola, Enrico 24 Bogachev, Vladimir Igorevich 24 Gess, Benjamin 24 Zhang, Xicheng 23 Albeverio, Sergio A. 23 Zabczyk, Jerzy 22 Lizama, Carlos 21 Tubaro, Luciano 20 Lasiecka, Irena 20 Yan, Zuomao 20 Zhu, RongChan 19 Cannarsa, Piermarco 19 Caraballo Garrido, Tomás 19 Cuevas, Claudio 19 Gozzi, Fausto 19 Huang, Jianhua 19 Lorenzi, Luca 19 Romito, Marco 19 Stuart, Andrew M. 18 Bonaccorsi, Stefano 18 Gao, Hongjun 18 van Neerven, Jan M. A. M. 17 Di Blasio, Gabriella 17 Fuhrman, Marco 17 Glatt-Holtz, Nathan E. 17 Larsson, Stig 17 Liu, Kai 17 Razafimandimby, Paul André 17 Schwab, Christoph 17 Shaposhnikov, Stanislav V. 17 Zhu, Xiang-Chan 16 Favini, Angelo 16 Ferrario, Benedetta 16 Hausenblas, Erika 16 Kloeden, Peter Eris 16 Liu, Wei 16 Russo, Francesco 16 Xu, Lihu 15 Clément, Philippe J. E. 15 Hong, Jialin 15 Kim, Jong Uhn 15 Melnikova, Irina V. 15 Raymond, Jean-Pierre 15 Temam, Roger Meyer 15 Wang, Wei 15 Zhao, Huaizhong 14 Balasubramaniam, Pagavathigounder 14 Diop, Mamadou Abdoul 14 Hofmanová, Martina 14 Kovács, Mihály 14 Marinelli, Carlo 14 Pandey, Dwijendra Narain 14 Tessitore, Gianmario 14 Veraar, Mark C. 14 Wang, Xiaojie 14 Weber, Hendrik 13 Fabbri, Giorgio 13 Frankowska, Hélène 13 Gubinelli, Massimiliano 13 Labbas, Rabah 13 Luo, Jiaowan 13 Michta, Mariusz 13 Pallara, Diego 13 Peszat, Szymon 13 Prüß, Jan Wilhelm 13 Schmalfuß, Björn 13 Wang, Ran 13 Wang, Yongjin 13 Yuan, Chenggui 12 Bao, Jianhai 12 Benchohra, Mouffak 12 Dong, Zhao 12 Kühn, Christian 12 Liu, Meng 12 Mattingly, Jonathan C. 12 Scarpa, Luca 12 Sinestrari, Eugenio 12 Triggiani, Roberto 12 Wu, Jianglun 12 Xie, Bin 12 Xie, Yingchao 12 Zhai, Jianliang ...and 3,491 more Authors all top 5 Cited in 449 Serials 252 Journal of Mathematical Analysis and Applications 211 Journal of Differential Equations 176 Stochastic Processes and their Applications 163 Journal of Functional Analysis 118 Stochastic Analysis and Applications 102 Nonlinear Analysis. 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