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

Publications by Year

Citations contained in zbMATH Open

326 Publications have been cited 7,307 times in 4,691 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
638
1996
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
412
2014
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
189
2008
Sommes d’opérateurs linéaires et équations différentielles opérationnelles. Zbl 0315.47009
da Prato, Giuseppe; Grisvard, P.
161
1975
Differential operators with non dense domain. Zbl 0652.34069
da Prato, Guiseppe; Sinestrari, E.
161
1987
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
155
2007
Second order partial differential equations in Hilbert spaces. Zbl 1012.35001
Da Prato, Giuseppe; Zabczyk, Jerzy
144
2002
Equations d’évolution abstraites non linéaires de type parabolique. Zbl 0471.35036
da Prato, Giuseppe; Grisvard, Pierre
109
1979
Stochastic Burgers’ equation. Zbl 0824.35112
Da Prato, Giuseppe; Debussche, Arnaud; Temam, Roger
106
1994
An introduction to infinite-dimensional analysis. Zbl 1109.46001
Da Prato, Giuseppe
94
2006
Kolmogorov equations for stochastic PDEs. Zbl 1066.60061
Da Prato, Giuseppe
94
2004
Strong solutions to the stochastic quantization equations. Zbl 1071.81070
Da Prato, Giuseppe; Debussche, Arnaud
92
2003
Two-dimensional Navier-Stokes equations driven by a space-time white noise. Zbl 1013.60051
Da Prato, Giuseppe; Debussche, Arnaud
80
2002
Ergodicity for the 3D stochastic Navier-Stokes equations. Zbl 1109.60047
Da Prato, Giuseppe; Debussche, Arnaud
77
2003
Stochastic Cahn-Hilliard equation. Zbl 0838.60056
Da Prato, Giuseppe; Debussche, Arnaud
76
1996
Regularity of solutions of linear stochastic equations in Hilbert spaces. Zbl 0634.60053
da Prato, Guiseppe; Kwapień, S.; Zabczyk, J.
72
1987
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
69
1992
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
69
1995
Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta. Zbl 0145.16207
Da Prato, G.
68
1965
Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001
Barbu, V.; Da Prato, G.
61
1983
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
59
2009
Periodic and almost periodic solutions for semilinear stochastic equations. Zbl 0816.60062
Da Prato, Giuseppe; Tudor, Constantin
56
1995
Linear integro-differential equations in Banach spaces. Zbl 0451.45014
Da Prato, G.; Iannelli, M.
56
1980
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.
47
2013
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
46
2006
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
44
1998
Stochastic Burgers equation with correlated noise. Zbl 0853.35138
Da Prato, Giuseppe; Gatarek, Dariusz
43
1995
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
41
2009
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
40
2007
Evolution equations with white-noise boundary conditions. Zbl 0814.60055
Da Prato, Giuseppe; Zabczyk, J.
40
1993
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
40
1974
Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029
Da Prato, Giuseppe; Röckner, Michael
39
2002
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu
36
2009
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
35
2008
Semigruppi regolarizzabili. Zbl 0195.41001
Da Prato, G.
35
1966
Existence and regularity for a class of integrodifferential equations of parabolic type. Zbl 0583.45009
da Prato, Guiseppe; Iannelli, Mimmo
33
1985
Quadratic control for linear time-varying systems. Zbl 0692.49006
Da Prato, Giuseppe; Ichikawa, Akira
33
1990
A note on stochastic convolution. Zbl 0758.60049
Da Prato, Giuseppe; Zabczyk, Jerzy
32
1992
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
32
2010
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
31
1993
Existence and regularity results for an integral equation with infinite delay in a Banach space. Zbl 0668.45010
Clément, Ph.; Da Prato, G.
31
1988
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
29
1990
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
29
2008
Una caratterizzazione dei generatori di funzioni coseno astratte. Zbl 0186.47702
da Prato, Giuseppe; Giusta, E.
29
1967
Compact families of Wiener functionals. Zbl 0782.60002
Da Prato, Giuseppe; Malliavin, Paul; Nualart, David
28
1992
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
28
1988
Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020
Cannarsa, Piermarco; da Prato, Giuseppe
27
1991
Applications croissantes et équations d’évolution dans les espaces de Banach. Zbl 0352.47002
Da Prato, G.
27
1976
Maximal regularity for evolution equations by interpolation and extrapolation. Zbl 0593.47041
Da Prato, G.; Grisvard, P.
26
1984
Weak solutions to stochastic porous media equations. Zbl 1049.60092
Da Prato, Giuseppe; Röckner, Michael
26
2004
Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. Zbl 0762.60052
Da Prato, Giuseppe; Zabczyk, Jerzy
24
1992
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
24
2016
Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055
Da Prato, G.
23
1983
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
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
21
2007
Semigruppi distribuzioni analitici. Zbl 0198.47202
Da Prato, G.; Mosco, U.
21
1965
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
20
2010
Some properties of invariant measures of non symmetric dissipative stochastic systems. Zbl 1087.60049
Da Prato, Giuseppe; Debussche, Arnaud; Goldys, Beniamin
20
2002
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
Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025
Da Prato, Giuseppe; Zabczyk, Jerzy
19
1997
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
19
2002
Fully nonlinear stochastic partial differential equations. Zbl 0853.60052
Da Prato, G.; Tubaro, L.
19
1996
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
19
2004
Quadratic control for linear periodic systems. Zbl 0647.93057
Da Prato, G.; Ichikawa, Akira
19
1988
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
19
2004
On extrapolation spaces. Zbl 0527.46055
Da Prato, Giuseppe; Grisvard, Pierre
18
1982
Direct solution of a Riccati equation arising in stochastic control theory. Zbl 0555.93070
Da Prato, G.
18
1984
Strong Feller property for stochastic semilinear equations. Zbl 0817.60081
Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy
18
1995
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
18
2007
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 uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
18
2016
Semigruppi di crescenza n. Zbl 0198.16801
da Prato, Giuseppe
18
1966
\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
17
2007
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
Construction of stochastic inertial manifolds using backward integration. Zbl 0876.60040
Da Prato, Giuseppe; Debussche, Arnaud
17
1996
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
Weak solutions for linear abstract differential equations in Banach spaces. Zbl 0244.34048
Da Prato, G.
17
1970
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
17
2015
Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
17
2004
Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients. Zbl 1002.35035
Da Prato, Giuseppe; Goldys, Beniamin
17
2002
Hölder regularity for non-autonomous abstract parabolic equations. Zbl 0495.47031
Da Prato, Giuseppe; Sinestrari, Eugenio
16
1982
Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016
Cannarsa, P.; Da Prato, G.
16
1992
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
16
2011
Some results about dissipativity of Kolmogorov operators. Zbl 0996.47028
Da Prato, Giuseppe; Tubaro, Luciano
15
2001
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
15
2002
On a method for studying abstract evolution equations in the hyperbolic case. Zbl 0358.34063
da Prato, Giuseppe; Iannelli, Mimmo
15
1976
Quelques résultats d’existence, unicité et régularité pour un problème de la théorie du contrôle. Zbl 0289.93027
Da Prato, G.
15
1974
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
14
2009
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
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
14
2007
White noise perturbation of the equations of linear parabolic viscoelasticity. Zbl 0911.45010
Clément, Ph.; Da Prato, G.; Prüss, J.
14
1997
Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization. Zbl 0971.47019
Da Prato, Giuseppe; Tubaro, Luciano
14
2000
Some results on linear stochastic differential equations in Hilbert spaces. Zbl 0475.60041
Da Prato, G.; Iannelli, M.; Tubaro, L.
14
1982
Invariant measues for a stochastic porous medium equation. Zbl 1102.76074
Da Prato, Giuseppe; Röckner, Michael
14
2004
The damped wave equation in a moving domain. Zbl 0786.35089
Cannarsa, Piermarco; Da Prato, Giuseppe; Zolesio, Jean-Paul
13
1990
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
13
2011
Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010
Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène
2
2020
A mild Itô formula for SPDEs. Zbl 1423.35472
Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael
13
2019
On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
1
2019
Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
1
2019
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
9
2018
Construction of a surface integral under local Malliavin assumptions, and related integration by parts formulas. Zbl 1394.60029
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.
3
2018
Gradient estimates for SDEs without monotonicity type conditions. Zbl 1430.60048
Da Prato, Giuseppe; Priola, Enrico
1
2018
An integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Zbl 1364.60080
Da Prato, Giuseppe; Debussche, Arnaud
6
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
24
2016
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
18
2016
Estimate for \(P_{t}D\) for the stochastic Burgers equation. Zbl 1350.60057
Da Prato, Giuseppe; Debussche, Arnaud
6
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
17
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.
9
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
6
2015
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
412
2014
Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001
Da Prato, Giuseppe
13
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
12
2014
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
10
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da 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 1318.60068
Cerrai, Sandra; Da Prato, Giuseppe
4
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.
47
2013
Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
8
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
4
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
2
2013
Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects. Zbl 1247.60099
Bonaccorsi, Stefano; da Prato, Giuseppe; Tubaro, Luciano
8
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
8
2012
The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
5
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
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, 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 1257.35183
Da Prato, Giuseppe; Röckner, Michael
1
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
16
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, 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 1230.60081
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
11
2011
Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116
Barbu, Viorel; da Prato, Giuseppe
8
2011
Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054
Cannarsa, Piermarco; Da Prato, Giuseppe
4
2011
Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2
2011
A reflection type problem for the stochastic 2-D Navier-Stokes equations with periodic conditions. Zbl 1404.76070
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
1
2011
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
32
2010
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
20
2010
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
7
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 and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062
Barbu, Viorel; da Prato, Giuseppe
4
2010
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
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
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
59
2009
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
41
2009
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da 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 1205.60141
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
14
2009
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
13
2009
Erratum: Singular dissipative stochastic equations in Hilbert spaces. Zbl 1165.47031
Da Prato, Giuseppe; Röckner, Michael
2
2009
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
189
2008
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
35
2008
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
29
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
6
2008
Some results on stochastic porous media equations. Zbl 1205.60109
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
5
2008
Introduction to stochastic analysis and Malliavin calculus. 2nd ed. Zbl 1167.60012
Da Prato, Giuseppe
4
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
4
2008
Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231
Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael
2
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 1174.60039
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
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
155
2007
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
40
2007
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
21
2007
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
18
2007
\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
17
2007
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
14
2007
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
11
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
Kolmogorov equations for stochastic PDE’s with multiplicative noise. Zbl 1138.60045
Da Prato, Giuseppe
5
2007
Introduction to stochastic analysis and Malliavin calculus. Zbl 1163.60001
Da Prato, Giuseppe
5
2007
Some results of backward Itô formula. Zbl 1129.60051
Da Prato, Giuseppe; Menaldi, Jose-Luis; Tubaro, Luciano
5
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
94
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
46
2006
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
12
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
11
2006
Dissipative stochastic equations in Hilbert space with time dependent coefficients. Zbl 1150.47030
Da 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 1093.60026
Barbu, Viorel; Da Prato, Giuseppe
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
Irreducibility of the transition semigroup associated with the two phase Stefan problem. Zbl 1104.35070
Barbu, Viorel; Da Prato, Giuseppe
2
2005
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
2
2005
Irreducibility of the transition semigroup associated with the stochastic obstacle problem. Zbl 1086.60043
Barbu, Viorel; da Prato, Giuseppe
2
2005
...and 226 more Documents
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Cited by 3,797 Authors

143 Da Prato, Giuseppe
117 Röckner, Michael
77 Barbu, Viorel
62 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 Blömker, Dirk
29 Cerrai, Sandra
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 Cannarsa, Piermarco
20 Caraballo Garrido, Tomás
20 Lorenzi, Luca
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.
18 Zhao, Huaizhong
17 Di Blasio, Gabriella
17 Favini, Angelo
17 Hofmanová, Martina
17 Kloeden, Peter Eris
17 Oh, Tadahiro
17 Xu, Lihu
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 Veraar, Mark C.
15 Wang, Wei
15 Wang, Xiaojie
15 Weber, Hendrik
15 Yuan, Chenggui
14 Diop, Mamadou Abdoul
14 Frankowska, Hélène
14 Liu, Meng
14 Luo, Dejun
14 Masiero, Federica
14 Pallara, Diego
14 Pandey, Dwijendra Narain
14 Peszat, Szymon
14 Wang, Ran
13 Bao, Jianhai
13 Benchohra, Mouffak
13 Bessaih, Hakima
13 Labbas, Rabah
13 Marinelli, Carlo
13 Michta, Mariusz
13 Prüß, Jan Wilhelm
13 Stannat, Wilhelm
13 Tachim Medjo, Theodore
13 Triggiani, Roberto
13 Wang, Bixiang
13 Wang, Yongjin
13 Yamazaki, Kazuo
13 Zhai, Jianliang
...and 3,697 more Authors
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Cited in 491 Serials

243 Journal of Mathematical Analysis and Applications
221 Journal of Differential Equations
171 Stochastic Processes and their Applications
165 Journal of Functional Analysis
126 Stochastic Analysis and Applications
102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
95 Journal of Evolution Equations
87 The Annals of Probability
84 Stochastic and Partial Differential Equations. Analysis and Computations
77 Applied Mathematics and Optimization
67 Probability Theory and Related Fields
66 Potential Analysis
61 Stochastics and Dynamics
55 Communications in Mathematical Physics
54 SIAM Journal on Control and Optimization
54 Nonlinear Analysis. Theory, Methods & Applications
53 Annali di Matematica Pura ed Applicata. Serie Quarta
51 Infinite Dimensional Analysis, Quantum Probability and Related Topics
48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
46 The Annals of Applied Probability
46 Discrete and Continuous Dynamical Systems
42 Transactions of the American Mathematical Society
42 Statistics & Probability Letters
42 Abstract and Applied Analysis
40 Journal of Mathematical Physics
40 Discrete and Continuous Dynamical Systems. Series B
40 Advances in Difference Equations
39 SIAM Journal on Mathematical Analysis
39 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
38 Journal of Statistical Physics
38 NoDEA. Nonlinear Differential Equations and Applications
37 Systems & Control Letters
37 Journal of Theoretical Probability
35 Applied Mathematics and Computation
34 Proceedings of the American Mathematical Society
33 Archive for Rational Mechanics and Analysis
31 Journal of Mathematical Sciences (New York)
29 Semigroup Forum
26 Journal of Optimization Theory and Applications
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Electronic Journal of Probability
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Journal of Integral Equations and Applications
25 Communications in Partial Differential Equations
25 Journal of Dynamics and Differential Equations
25 Acta Mathematica Sinica. English Series
24 Journal of Computational and Applied Mathematics
23 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
23 Mathematische Zeitschrift
23 SIAM Journal on Numerical Analysis
23 Differential Equations
23 Communications on Pure and Applied Analysis
22 International Journal of Control
22 Rendiconti del Seminario Matematico della Università di Padova
21 SIAM/ASA Journal on Uncertainty Quantification
20 Acta Applicandae Mathematicae
20 Bulletin des Sciences Mathématiques
19 Mathematische Annalen
19 Journal of Mathematical Fluid Mechanics
19 Nonlinear Analysis. Real World Applications
18 Czechoslovak Mathematical Journal
18 Journal of Nonlinear Science
17 Computers & Mathematics with Applications
17 Physica D
17 Applied Mathematics Letters
17 Science China. Mathematics
16 Applicable Analysis
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16 Journal of Inequalities and Applications
15 Automatica
15 SIAM Journal on Scientific Computing
15 Stochastics
14 Journal of Computational Physics
14 Nonlinearity
14 Mathematical Control and Related Fields
14 Evolution Equations and Control Theory
13 Numerische Mathematik
13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
13 Random Operators and Stochastic Equations
13 Finance and Stochastics
13 Doklady Mathematics
13 Mediterranean Journal of Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Bernoulli
12 Frontiers of Mathematics in China
11 Mathematische Nachrichten
11 Applied Numerical Mathematics
11 Journal of Scientific Computing
11 Stochastics and Stochastics Reports
11 Theory of Probability and Mathematical Statistics
11 Nonlinear Analysis. Hybrid Systems
10 Communications on Pure and Applied Mathematics
10 BIT
10 Integral Equations and Operator Theory
10 Calculus of Variations and Partial Differential Equations
10 Journal of Dynamical and Control Systems
10 Boundary Value Problems
9 Journal of Mathematical Biology
9 Advances in Mathematics
...and 391 more Serials
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Cited in 56 Fields

2,799 Probability theory and stochastic processes (60-XX)
2,233 Partial differential equations (35-XX)
772 Operator theory (47-XX)
625 Systems theory; control (93-XX)
621 Ordinary differential equations (34-XX)
411 Fluid mechanics (76-XX)
396 Dynamical systems and ergodic theory (37-XX)
381 Numerical analysis (65-XX)
374 Calculus of variations and optimal control; optimization (49-XX)
180 Integral equations (45-XX)
174 Functional analysis (46-XX)
162 Statistical mechanics, structure of matter (82-XX)
159 Biology and other natural sciences (92-XX)
123 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
82 Quantum theory (81-XX)
77 Real functions (26-XX)
75 Statistics (62-XX)
75 Mechanics of deformable solids (74-XX)
70 Global analysis, analysis on manifolds (58-XX)
60 Measure and integration (28-XX)
44 Potential theory (31-XX)
43 Geophysics (86-XX)
41 Harmonic analysis on Euclidean spaces (42-XX)
38 Operations research, mathematical programming (90-XX)
33 Abstract harmonic analysis (43-XX)
33 Mechanics of particles and systems (70-XX)
27 Differential geometry (53-XX)
25 Difference and functional equations (39-XX)
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10 Functions of a complex variable (30-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Special functions (33-XX)
6 Astronomy and astrophysics (85-XX)
5 Topological groups, Lie groups (22-XX)
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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)
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