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Da Prato, Giuseppe

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Author ID: da-prato.giuseppe Recent zbMATH articles by "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
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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

Publications by Year

Citations contained in zbMATH

322 Publications have been cited 6,775 times in 4,240 Documents Cited by Year
Stochastic equations in infinite dimensions. Zbl 0761.60052
Da Prato, Giuseppe; Zabczyk, Jerzy
1992
Ergodicity for infinite dimensional systems. Zbl 0849.60052
Da Prato, Giuseppe; Zabczyk, Jerzy
578
1996
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
280
2014
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
157
2008
Differential operators with non dense domain. Zbl 0652.34069
da Prato, Guiseppe; Sinestrari, E.
147
1987
Sommes d’opérateurs linéaires et équations différentielles opérationnelles. Zbl 0315.47009
da Prato, Giuseppe; Grisvard, P.
146
1975
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
138
2007
Second order partial differential equations in Hilbert spaces. Zbl 1012.35001
Da Prato, Giuseppe; Zabczyk, Jerzy
138
2002
Equations d’évolution abstraites non linéaires de type parabolique. Zbl 0471.35036
da Prato, Giuseppe; Grisvard, Pierre
104
1979
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
102
1992
Stochastic Burgers’ equation. Zbl 0824.35112
Da Prato, Giuseppe; Debussche, Arnaud; Temam, Roger
92
1994
Kolmogorov equations for stochastic PDEs. Zbl 1066.60061
Da Prato, Giuseppe
87
2004
An introduction to infinite-dimensional analysis. Zbl 1109.46001
Da Prato, Giuseppe
86
2006
Ergodicity for the 3D stochastic Navier-Stokes equations. Zbl 1109.60047
Da Prato, Giuseppe; Debussche, Arnaud
69
2003
Regularity of solutions of linear stochastic equations in Hilbert spaces. Zbl 0634.60053
da Prato, Guiseppe; Kwapień, S.; Zabczyk, J.
68
1987
Strong solutions to the stochastic quantization equations. Zbl 1071.81070
Da Prato, Giuseppe; Debussche, Arnaud
64
2003
Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta. Zbl 0145.16207
Da Prato, G.
64
1965
Two-dimensional Navier-Stokes equations driven by a space-time white noise. Zbl 1013.60051
Da Prato, Giuseppe; Debussche, Arnaud
63
2002
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
63
1995
Stochastic Cahn-Hilliard equation. Zbl 0838.60056
Da Prato, Giuseppe; Debussche, Arnaud
62
1996
Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001
Barbu, V.; Da Prato, G.
56
1983
Linear integro-differential equations in Banach spaces. Zbl 0451.45014
Da Prato, G.; Iannelli, M.
53
1980
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
52
2009
Periodic and almost periodic solutions for semilinear stochastic equations. Zbl 0816.60062
Da Prato, Giuseppe; Tudor, Constantin
47
1995
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, 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 1158.60356
Da Prato, G.; Röckner, Michael; Rozovskii, B. L.; Wang, Feng-Yu
42
2006
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
42
1998
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
40
2013
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
39
2009
An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction. Zbl 0303.34046
Bove, A.; Da Prato, G.; Fano, Guido
37
1974
Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029
Da Prato, Giuseppe; Röckner, Michael
36
2002
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu
35
2009
Stochastic Burgers equation with correlated noise. Zbl 0853.35138
Da Prato, Giuseppe; Gatarek, Dariusz
35
1995
Semigruppi regolarizzabili. Zbl 0195.41001
Da Prato, G.
35
1966
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
33
2008
Evolution equations with white-noise boundary conditions. Zbl 0814.60055
Da Prato, Giuseppe; Zabczyk, J.
33
1993
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
32
2007
Existence and regularity for a class of integrodifferential equations of parabolic type. Zbl 0583.45009
da Prato, Guiseppe; Iannelli, Mimmo
32
1985
A note on stochastic convolution. Zbl 0758.60049
Da Prato, Giuseppe; Zabczyk, Jerzy
31
1992
Quadratic control for linear time-varying systems. Zbl 0692.49006
Da Prato, Giuseppe; Ichikawa, Akira
31
1990
Existence and regularity results for an integral equation with infinite delay in a Banach space. Zbl 0668.45010
Clément, Ph.; Da Prato, G.
30
1988
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
28
2010
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
28
2008
Una caratterizzazione dei generatori di funzioni coseno astratte. Zbl 0186.47702
da Prato, Giuseppe; Giusta, E.
28
1967
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
27
1990
Applications croissantes et équations d’évolution dans les espaces de Banach. Zbl 0352.47002
Da Prato, G.
27
1976
Compact families of Wiener functionals. Zbl 0782.60002
Da Prato, Giuseppe; Malliavin, Paul; Nualart, David
26
1992
Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020
Cannarsa, Piermarco; da Prato, Giuseppe
26
1991
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
26
1988
Weak solutions to stochastic porous media equations. Zbl 1049.60092
Da Prato, Giuseppe; Röckner, Michael
24
2004
Maximal regularity for evolution equations by interpolation and extrapolation. Zbl 0593.47041
Da Prato, G.; Grisvard, P.
24
1984
A stochastic Filippov theorem. Zbl 0810.60059
da Prato, Guiseppe; Frankowska, H.
23
1994
Invariant measures for semilinear stochastic equations. Zbl 0758.60057
Da Prato, Giuseppe; Gątarek, D.; Zabczyk, Jerzy
22
1992
Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055
Da Prato, G.
22
1983
Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. Zbl 0762.60052
Da Prato, Giuseppe; Zabczyk, Jerzy
21
1992
Semigruppi distribuzioni analitici. Zbl 0198.47202
Da Prato, G.; Mosco, U.
21
1965
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
20
2007
Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type. Zbl 0646.45013
Da Prato, Giuseppe; Lunardi, Alessandro
20
1988
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
19
2004
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
19
2002
Some properties of invariant measures of non symmetric dissipative stochastic systems. Zbl 1087.60049
Da Prato, Giuseppe; Debussche, Arnaud; Goldys, Beniamin
19
2002
Fully nonlinear stochastic partial differential equations. Zbl 0853.60052
Da Prato, G.; Tubaro, L.
19
1996
Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
18
2009
Strong Feller property for stochastic semilinear equations. Zbl 0817.60081
Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy
18
1995
Quadratic control for linear periodic systems. Zbl 0647.93057
Da Prato, G.; Ichikawa, Akira
18
1988
On extrapolation spaces. Zbl 0527.46055
Da Prato, Giuseppe; Grisvard, Pierre
18
1982
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, 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 1161.47027
Bogachev, V. I.; Da Prato, G.; Röckner, M.
17
2009
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
17
2007
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
17
2004
Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
17
2004
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
A direct study of the Riccati equation arising in hyperbolic boundary control problems. Zbl 0601.49003
Da Prato, G.; Lasiecka, I.; Triggiani, R.
17
1986
Weak solutions for linear abstract differential equations in Banach spaces. Zbl 0244.34048
Da Prato, G.
17
1970
Semigruppi di crescenza n. Zbl 0198.16801
da Prato, Giuseppe
17
1966
\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
16
2007
Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients. Zbl 1002.35035
Da Prato, Giuseppe; Goldys, Beniamin
16
2002
Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025
Da Prato, Giuseppe; Zabczyk, Jerzy
16
1997
Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016
Cannarsa, P.; Da Prato, G.
16
1992
Direct solution of a Riccati equation arising in stochastic control theory. Zbl 0555.93070
Da Prato, G.
16
1984
Hölder regularity for non-autonomous abstract parabolic equations. Zbl 0495.47031
Da Prato, Giuseppe; Sinestrari, Eugenio
16
1982
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
15
2016
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
15
2016
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
15
2011
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
15
2002
Quelques résultats d’existence, unicité et régularité pour un problème de la théorie du contrôle. Zbl 0289.93027
Da Prato, G.
15
1974
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
14
2015
Some results about dissipativity of Kolmogorov operators. Zbl 0996.47028
Da Prato, Giuseppe; Tubaro, Luciano
14
2001
Construction of stochastic inertial manifolds using backward integration. Zbl 0876.60040
Da Prato, Giuseppe; Debussche, Arnaud
14
1996
Non autonomous evolution operators of hyperbolic type. Zbl 0791.47040
Da Prato, Giuseppe; Sinestrari, Eugenio
14
1992
Regularity of solutions of a class of linear integrodifferential equations in Banach spaces. Zbl 0576.45011
da Prato, Guiseppe; Iannelli, Mimmo; Sinestrari, E.
14
1985
On a method for studying abstract evolution equations in the hyperbolic case. Zbl 0358.34063
da Prato, Giuseppe; Iannelli, Mimmo
14
1976
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
13
2009
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
13
2007
White noise perturbation of the equations of linear parabolic viscoelasticity. Zbl 0911.45010
Clément, Ph.; Da Prato, G.; Prüss, J.
13
1997
Some results on linear stochastic differential equations in Hilbert spaces. Zbl 0475.60041
Da Prato, G.; Iannelli, M.; Tubaro, L.
13
1982
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
12
2009
A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050
da Prato, Giuseppe; Röckner, Michael
12
2008
Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034
Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
12
2006
Invariant measues for a stochastic porous medium equation. Zbl 1102.76074
Da Prato, Giuseppe; Röckner, Michael
12
2004
A mild Itô formula for SPDEs. Zbl 1423.35472
Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael
7
2019
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
6
2018
Construction of a surface integral under local Malliavin assumptions, and related integration by parts formulas. Zbl 1394.60029
Bonaccorsi, Stefano; Da Prato, Giuseppe; Tubaro, Luciano
3
2018
Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532
Cannarsa, P.; Da Prato, G.; Frankowska, H.
1
2018
An integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Zbl 1364.60080
Da Prato, Giuseppe; Debussche, Arnaud
5
2017
Surface integrals in Hilbert spaces for general measures and applications. Zbl 1436.46044
Da Prato, Giuseppe
1
2017
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
15
2016
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
15
2016
Estimate for \(P_{t}D\) for the stochastic Burgers equation. Zbl 1350.60057
Da Prato, Giuseppe; Debussche, Arnaud
5
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
14
2015
An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V.
7
2015
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, 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 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
5
2015
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
280
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
10
2014
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
9
2014
Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001
Da Prato, Giuseppe
8
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da 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 1318.60068
Cerrai, Sandra; Da Prato, Giuseppe
3
2014
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
40
2013
Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
7
2013
Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component. Zbl 1304.60071
Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco
3
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
1
2013
Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects. Zbl 1247.60099
Bonaccorsi, Stefano; da Prato, Giuseppe; Tubaro, Luciano
7
2012
Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Zbl 1243.60046
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
6
2012
Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155
Cerrai, Sandra; Da Prato, Giuseppe
4
2012
The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
4
2012
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego
2
2012
Invariance for stochastic reaction-diffusion equations. Zbl 1262.60057
Cannarsa, Piermarco; Da Prato, Giuseppe
1
2012
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, 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 1230.60081
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
11
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
9
2011
Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116
Barbu, Viorel; da Prato, Giuseppe
8
2011
Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2
2011
Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054
Cannarsa, Piermarco; Da Prato, Giuseppe
2
2011
A reflection type problem for the stochastic 2-D Navier-Stokes equations with periodic conditions. Zbl 1404.76070
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2
2011
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
28
2010
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
17
2010
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
7
2010
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
7
2010
Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062
Barbu, Viorel; da Prato, Giuseppe
4
2010
Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051
Bohachev, 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 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
3
2010
Asymptotic behavior of stochastic PDEs with random coefficients. Zbl 1213.37122
da Prato, Giuseppe; Debussche, Arnaud
2
2010
Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098
Da Prato, Giuseppe; Lunardi, Alessandra
1
2010
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
52
2009
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
39
2009
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da 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 1205.60141
Barbu, 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 1161.47027
Bogachev, V. I.; Da Prato, G.; Röckner, M.
17
2009
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
13
2009
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
12
2009
Erratum: Singular dissipative stochastic equations in Hilbert spaces. Zbl 1165.47031
Da Prato, Giuseppe; Röckner, Michael
1
2009
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
157
2008
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
33
2008
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
28
2008
A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050
da Prato, Giuseppe; Röckner, Michael
12
2008
2D stochastic Navier-Stokes equations with a time-periodic forcing term. Zbl 1154.35099
Da Prato, Giuseppe; Debussche, Arnaud
11
2008
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
10
2008
Parabolic equations for measures on infinite-dimensional spaces. Zbl 1221.35442
Bogachev, V. I.; Da Prato, G.; Röckner, M.
8
2008
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
6
2008
On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations. Zbl 1194.76033
Da Prato, Giuseppe; Debussche, Arnaud
5
2008
Some results on stochastic porous media equations. Zbl 1205.60109
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
5
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
4
2008
Introduction to stochastic analysis and Malliavin calculus. 2nd ed. Zbl 1167.60012
Da Prato, Giuseppe
3
2008
Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231
Barbu, 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 1174.60039
Barbu, Viorel; Da Prato, Giuseppe
1
2008
Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Zbl 1221.60096
Bogachev, 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
Da Prato, Giuseppe (ed.); Röckner, Michael (ed.)
1
2008
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
138
2007
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
32
2007
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
20
2007
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
17
2007
\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
16
2007
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
13
2007
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
10
2007
A modified Kardar-Parisi-Zhang model. Zbl 1136.60043
Da 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 1220.35032
Da Prato, Giuseppe; Lunardi, Alessandra
6
2007
Introduction to stochastic analysis and Malliavin calculus. Zbl 1163.60001
Da Prato, Giuseppe
5
2007
Kolmogorov equations for stochastic PDE’s with multiplicative noise. Zbl 1138.60045
Da Prato, Giuseppe
4
2007
Some results of backward Itô formula. Zbl 1129.60051
Da 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 1132.47039
Da Prato, Giuseppe; Lunardi, Alessandra
3
2007
An introduction to infinite-dimensional analysis. Zbl 1109.46001
Da Prato, Giuseppe
86
2006
Strong solutions of stochastic generalized porous media equations: existence, uniqueness, and ergodicity. Zbl 1158.60356
Da Prato, G.; Röckner, Michael; Rozovskii, B. L.; Wang, Feng-Yu
42
2006
Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034
Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
12
2006
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
11
2006
Dissipative stochastic equations in Hilbert space with time dependent coefficients. Zbl 1150.47030
Da Prato, Giuseppe; Röckner, Michael
7
2006
The stochastic obstacle problem for the harmonic oscillator with damping. Zbl 1093.60026
Barbu, 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 1079.60009
Da Prato, Giuseppe (ed.); Tubaro, Luciano (ed.)
7
2006
Maximal dissipativity of a class of elliptic degenerate operators in weighted \(L^2\) spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2
2006
The Neumann problem on unbounded domains of \(\mathbb R^d\) and stochastic variational inequalities. Zbl 1130.35137
Barbu, Viorel; Da Prato, Giuseppe
9
2005
Coupling for some partial differential equations driven by white noise. Zbl 1079.60061
Da Prato, Giuseppe; Debussche, Arnaud; Tubaro, Luciano
4
2005
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
3
2005
Invariance of closed sets under stochastic control systems. Zbl 1107.93033
Da Prato, Giuseppe; Frankowska, Hélène
1
2005
Irreducibility of the transition semigroup associated with the two phase Stefan problem. Zbl 1104.35070
Barbu, Viorel; Da Prato, Giuseppe
1
2005
Irreducibility of the transition semigroup associated with the stochastic obstacle problem. Zbl 1086.60043
Barbu, Viorel; da Prato, Giuseppe
1
2005
Kolmogorov equations for stochastic PDEs. Zbl 1066.60061
Da Prato, Giuseppe
87
2004
Weak solutions to stochastic porous media equations. Zbl 1049.60092
Da Prato, Giuseppe; Röckner, Michael
24
2004
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
19
2004
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
17
2004
...and 222 more Documents
all top 5

Cited by 3,544 Authors

142 Da Prato, Giuseppe
110 Röckner, Michael
78 Barbu, Viorel
55 Flandoli, Franco
44 Brzeźniak, Zdzisław
42 Wang, Feng-Yu
39 Lunardi, Alessandra
37 Hairer, Martin
36 Duan, Jinqiao
35 Debussche, Arnaud
35 Ezzinbi, Khalil
29 Blömker, Dirk
28 Cerrai, Sandra
27 Jentzen, Arnulf
26 Goldys, Beniamin
25 Maslowski, Bohdan
25 Priola, Enrico
25 Zhang, Tusheng S.
24 Bogachev, Vladimir Igorevich
24 Gess, Benjamin
24 Guo, Boling
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 Caraballo Garrido, Tomás
19 Cuevas, Claudio
19 Gozzi, Fausto
19 Lorenzi, Luca
19 Romito, Marco
19 Stuart, Andrew M.
18 Bonaccorsi, Stefano
18 Cannarsa, Piermarco
18 Gao, Hongjun
18 Huang, Jianhua
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 Russo, Francesco
15 Clément, Philippe J. E.
15 Kim, Jong Uhn
15 Liu, Wei
15 Melnikova, Irina V.
15 Raymond, Jean-Pierre
15 Temam, Roger Meyer
15 Wang, Wei
15 Xu, Lihu
14 Balasubramaniam, Pagavathigounder
14 Diop, Mamadou Abdoul
14 Hofmanová, Martina
14 Hong, Jialin
14 Kovács, Mihály
14 Marinelli, Carlo
14 Veraar, Mark C.
14 Wang, Xiaojie
14 Weber, Hendrik
14 Zhao, Huaizhong
13 Fabbri, Giorgio
13 Frankowska, Hélène
13 Gubinelli, Massimiliano
13 Labbas, Rabah
13 Luo, Jiaowan
13 Michta, Mariusz
13 Pallara, Diego
13 Pandey, Dwijendra Narain
13 Peszat, Szymon
13 Prüß, Jan Wilhelm
13 Schmalfuß, Björn
13 Tessitore, Gianmario
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 Sinestrari, Eugenio
12 Triggiani, Roberto
12 Wu, Jianglun
12 Xie, Bin
12 Xie, Yingchao
12 Zhai, Jianliang
11 Bessaih, Hakima
11 Kunisch, Karl
...and 3,444 more Authors
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Cited in 447 Serials

252 Journal of Mathematical Analysis and Applications
209 Journal of Differential Equations
173 Stochastic Processes and their Applications
161 Journal of Functional Analysis
118 Stochastic Analysis and Applications
102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
76 The Annals of Probability
71 Stochastic and Partial Differential Equations. Analysis and Computations
67 Journal of Evolution Equations
65 Probability Theory and Related Fields
62 Potential Analysis
58 Applied Mathematics and Optimization
56 Nonlinear Analysis. Theory, Methods & Applications
53 Annali di Matematica Pura ed Applicata. Serie Quarta
53 Stochastics and Dynamics
48 Communications in Mathematical Physics
46 Infinite Dimensional Analysis, Quantum Probability and Related Topics
44 Systems & Control Letters
42 Discrete and Continuous Dynamical Systems
42 Abstract and Applied Analysis
41 The Annals of Applied Probability
41 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
40 Transactions of the American Mathematical Society
40 Statistics & Probability Letters
39 SIAM Journal on Control and Optimization
36 Journal of Statistical Physics
35 Applied Mathematics and Computation
34 Journal of Mathematical Physics
33 Proceedings of the American Mathematical Society
33 Journal of Theoretical Probability
32 Discrete and Continuous Dynamical Systems. Series B
31 NoDEA. Nonlinear Differential Equations and Applications
30 SIAM Journal on Mathematical Analysis
30 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
30 Journal of Mathematical Sciences (New York)
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Semigroup Forum
29 Advances in Difference Equations
28 Journal of Computational and Applied Mathematics
27 Archive for Rational Mechanics and Analysis
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 Journal of Integral Equations and Applications
25 Communications in Partial Differential Equations
24 Journal of Optimization Theory and Applications
23 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
23 Mathematische Zeitschrift
23 Differential Equations
22 Rendiconti del Seminario Matematico della Università di Padova
21 Applied Mathematics Letters
21 Journal of Dynamics and Differential Equations
20 International Journal of Control
20 Automatica
20 Acta Mathematica Sinica. English Series
19 SIAM Journal on Numerical Analysis
19 Communications on Pure and Applied Analysis
18 Mathematische Annalen
18 Acta Applicandae Mathematicae
18 Bulletin des Sciences Mathématiques
18 Nonlinear Analysis. Real World Applications
17 Computers & Mathematics with Applications
17 Czechoslovak Mathematical Journal
16 Mathematics of Computation
16 Electronic Journal of Probability
16 SIAM/ASA Journal on Uncertainty Quantification
15 Journal of Computational Physics
15 Physica D
15 SIAM Journal on Scientific Computing
15 Random Operators and Stochastic Equations
15 Stochastics
14 Journal of Mathematical Fluid Mechanics
14 Science China. Mathematics
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
13 Doklady Mathematics
12 Applicable Analysis
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Journal of Nonlinear Science
12 Finance and Stochastics
12 Nonlinear Analysis. Hybrid Systems
12 Evolution Equations and Control Theory
11 Mathematische Nachrichten
11 Numerische Mathematik
11 Stochastics and Stochastics Reports
11 European Journal of Control
11 Journal of Inequalities and Applications
11 Mathematical Control and Related Fields
10 Communications on Pure and Applied Mathematics
10 BIT
10 Applied Numerical Mathematics
10 Journal of Dynamical and Control Systems
10 Mediterranean Journal of Mathematics
9 Journal of the Franklin Institute
9 Journal of Mathematical Biology
9 Advances in Mathematics
9 Integral Equations and Operator Theory
9 Numerical Functional Analysis and Optimization
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
9 Chinese Annals of Mathematics. Series B
9 MCSS. Mathematics of Control, Signals, and Systems
9 Bernoulli
...and 347 more Serials
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Cited in 55 Fields

2,476 Probability theory and stochastic processes (60-XX)
1,965 Partial differential equations (35-XX)
704 Operator theory (47-XX)
595 Systems theory; control (93-XX)
568 Ordinary differential equations (34-XX)
349 Calculus of variations and optimal control; optimization (49-XX)
347 Fluid mechanics (76-XX)
342 Numerical analysis (65-XX)
329 Dynamical systems and ergodic theory (37-XX)
167 Integral equations (45-XX)
159 Functional analysis (46-XX)
141 Statistical mechanics, structure of matter (82-XX)
130 Biology and other natural sciences (92-XX)
106 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
74 Mechanics of deformable solids (74-XX)
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64 Global analysis, analysis on manifolds (58-XX)
63 Quantum theory (81-XX)
58 Real functions (26-XX)
55 Measure and integration (28-XX)
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6 Astronomy and astrophysics (85-XX)
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4 Relativity and gravitational theory (83-XX)
3 Combinatorics (05-XX)
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2 General and overarching topics; collections (00-XX)
2 Associative rings and algebras (16-XX)
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1 Mathematics education (97-XX)

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