Da Prato, Giuseppe

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 Author ID: da-prato.giuseppe Published as: Da Prato, Giuseppe; Da Prato, G.; da Prato, Giuseppe; da Prato, Guiseppe; Da Prato, Guiseppe; da Prato, G.; Prato, G. D.; Prato, Giuseppe da; DaPrato, Giuseppe; Da Prato, C. more...less External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 389 Publications since 1965, including 19 Books 14 Contributions as Editor Co-Authors: 59 Co-Authors with 294 Joint Publications 2,248 Co-Co-Authors
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Co-Authors

 109 single-authored 48 Barbu, Viorel 46 Röckner, Michael 40 Tubaro, Luciano 27 Lunardi, Alessandra 25 Cannarsa, Piermarco 25 Debussche, Arnaud 22 Iannelli, Mimmo 21 Zabczyk, Jerzy 17 Bogachev, Vladimir Igorevich 11 Frankowska, Hélène 10 Flandoli, Franco 10 Zolésio, Jean-Paul 7 Aubin, Jean-Pierre 7 Grisvard, Pierre 7 Ichikawa, Akira 6 Clément, Philippe J. E. 6 Sinestrari, Eugenio 5 Delfour, Michel Claude 5 Goldys, Beniamin 3 Ambrosio, Luigi 3 Bensoussan, Alain 3 Cerrai, Sandra 3 Fuhrman, Marco 3 Malliavin, Paul 3 Mitter, Sanjoy K. 3 Pallara, Diego 3 Priola, Enrico 3 Shaposhnikov, Stanislav V. 2 Bonaccorsi, Stefano 2 Gątarek, Dariusz 2 Geymonat, Giuseppe 2 Giusti, Enrico 2 Mosco, Umberto 2 Sobol, Zeev 2 Tudor, Constantin 2 Wang, Feng-Yu 1 Blanchard, Philippe 1 Bohachev, V. I. 1 Bove, Antonio 1 Elworthy, K. David 1 Fano, Guido 1 Giusta, E. 1 Jentzen, Arnulf 1 Krylov, Nicolaĭ Vladimirovich 1 Kwapień, Stanisław 1 Lasiecka, Irena 1 Menaldi, Jose-Luis 1 Mennucci, Andrea Carlo Giuseppe 1 Metafune, Giorgio 1 Nualart, David 1 Pardoux, Etienne 1 Popa, Constantin Gh. 1 Pritchard, Anthony J. 1 Prüß, Jan Wilhelm 1 Rozovskii, Boris L. 1 Stannat, Wilhelm 1 Temam, Roger Meyer 1 Triggiani, Roberto 1 Veretennikov, Alexander Yu. 1 Vespri, Vincenzo Riccardo
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all top 5

Fields

 212 Probability theory and stochastic processes (60-XX) 155 Partial differential equations (35-XX) 126 Operator theory (47-XX) 63 Systems theory; control (93-XX) 49 Ordinary differential equations (34-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 31 Functional analysis (46-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 17 Integral equations (45-XX) 14 General and overarching topics; collections (00-XX) 14 Measure and integration (28-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Potential theory (31-XX) 6 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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
1996
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
2014
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
2008
Sommes d’opérateurs linéaires et équations différentielles opérationnelles. Zbl 0315.47009
da Prato, Giuseppe; Grisvard, P.
1975
Differential operators with non dense domain. Zbl 0652.34069
da Prato, Guiseppe; Sinestrari, E.
1987
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Second order partial differential equations in Hilbert spaces. Zbl 1012.35001
Da Prato, Giuseppe; Zabczyk, Jerzy
2002
Equations d’évolution abstraites non linéaires de type parabolique. Zbl 0471.35036
da Prato, Giuseppe; Grisvard, Pierre
1979
Stochastic Burgers’ equation. Zbl 0824.35112
Da Prato, Giuseppe; Debussche, Arnaud; Temam, Roger
1994
An introduction to infinite-dimensional analysis. Zbl 1109.46001
Da Prato, Giuseppe
2006
Kolmogorov equations for stochastic PDEs. Zbl 1066.60061
Da Prato, Giuseppe
2004
Strong solutions to the stochastic quantization equations. Zbl 1071.81070
Da Prato, Giuseppe; Debussche, Arnaud
2003
Two-dimensional Navier-Stokes equations driven by a space-time white noise. Zbl 1013.60051
Da Prato, Giuseppe; Debussche, Arnaud
2002
Ergodicity for the 3D stochastic Navier-Stokes equations. Zbl 1109.60047
Da Prato, Giuseppe; Debussche, Arnaud
2003
Stochastic Cahn-Hilliard equation. Zbl 0838.60056
Da Prato, Giuseppe; Debussche, Arnaud
1996
Regularity of solutions of linear stochastic equations in Hilbert spaces. Zbl 0634.60053
da Prato, Guiseppe; Kwapień, S.; Zabczyk, J.
1987
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1992
On the Ornstein-Uhlenbeck operator in spaces of continuous functions. Zbl 0846.47004
Da Prato, Giuseppe; Lunardi, Alessandra
1995
Spazi $${\mathcal L}^{(p,\vartheta)} (\Omega,\delta)$$ e loro proprieta. Zbl 0145.16207
Da Prato, G.
1965
Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001
Barbu, V.; Da Prato, G.
1983
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Periodic and almost periodic solutions for semilinear stochastic equations. Zbl 0816.60062
Da Prato, Giuseppe; Tudor, Constantin
1995
Linear integro-differential equations in Banach spaces. Zbl 0451.45014
Da Prato, G.; Iannelli, M.
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.
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
2006
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
1998
Stochastic Burgers equation with correlated noise. Zbl 0853.35138
Da Prato, Giuseppe; Gatarek, Dariusz
1995
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
Evolution equations with white-noise boundary conditions. Zbl 0814.60055
Da Prato, Giuseppe; Zabczyk, J.
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
1974
Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029
Da Prato, Giuseppe; Röckner, Michael
2002
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu
2009
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
2008
Semigruppi regolarizzabili. Zbl 0195.41001
Da Prato, G.
1966
Existence and regularity for a class of integrodifferential equations of parabolic type. Zbl 0583.45009
da Prato, Guiseppe; Iannelli, Mimmo
1985
Quadratic control for linear time-varying systems. Zbl 0692.49006
Da Prato, Giuseppe; Ichikawa, Akira
1990
A note on stochastic convolution. Zbl 0758.60049
Da Prato, Giuseppe; Zabczyk, Jerzy
1992
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
2010
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1993
Existence and regularity results for an integral equation with infinite delay in a Banach space. Zbl 0668.45010
Clément, Ph.; Da Prato, G.
1988
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
1990
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
Una caratterizzazione dei generatori di funzioni coseno astratte. Zbl 0186.47702
da Prato, Giuseppe; Giusta, E.
1967
Compact families of Wiener functionals. Zbl 0782.60002
Da Prato, Giuseppe; Malliavin, Paul; Nualart, David
1992
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Zbl 0661.35044
Da Prato, G.; Lunardi, A.
1988
Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020
Cannarsa, Piermarco; da Prato, Giuseppe
1991
Applications croissantes et équations d’évolution dans les espaces de Banach. Zbl 0352.47002
Da Prato, G.
1976
Maximal regularity for evolution equations by interpolation and extrapolation. Zbl 0593.47041
Da Prato, G.; Grisvard, P.
1984
Weak solutions to stochastic porous media equations. Zbl 1049.60092
Da Prato, Giuseppe; Röckner, Michael
2004
Non-explosion, boundedness, and ergodicity for stochastic semilinear equations. Zbl 0762.60052
Da Prato, Giuseppe; Zabczyk, Jerzy
1992
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2016
Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055
Da Prato, G.
1983
A stochastic Filippov theorem. Zbl 0810.60059
da Prato, Guiseppe; Frankowska, H.
1994
Invariant measures for semilinear stochastic equations. Zbl 0758.60057
Da Prato, Giuseppe; Gątarek, D.; Zabczyk, Jerzy
1992
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
2007
Semigruppi distribuzioni analitici. Zbl 0198.47202
Da Prato, G.; Mosco, U.
1965
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2010
Some properties of invariant measures of non symmetric dissipative stochastic systems. Zbl 1087.60049
Da Prato, Giuseppe; Debussche, Arnaud; Goldys, Beniamin
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
1988
Differentiability of the Feynman-Kac semigroup and a control application. Zbl 0910.93025
Da Prato, Giuseppe; Zabczyk, Jerzy
1997
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
2002
Fully nonlinear stochastic partial differential equations. Zbl 0853.60052
Da Prato, G.; Tubaro, L.
1996
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
2004
Quadratic control for linear periodic systems. Zbl 0647.93057
Da Prato, G.; Ichikawa, Akira
1988
Elliptic operators with unbounded drift coefficients and Neumann boundary condition. Zbl 1046.35025
Da Prato, Giuseppe; Lunardi, Alessandra
2004
On extrapolation spaces. Zbl 0527.46055
Da Prato, Giuseppe; Grisvard, Pierre
1982
Direct solution of a Riccati equation arising in stochastic control theory. Zbl 0555.93070
Da Prato, G.
1984
Strong Feller property for stochastic semilinear equations. Zbl 0817.60081
Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy
1995
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
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
2009
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
2016
Semigruppi di crescenza n. Zbl 0198.16801
da Prato, Giuseppe
1966
$$m$$-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
2007
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
1995
A direct study of the Riccati equation arising in hyperbolic boundary control problems. Zbl 0601.49003
Da Prato, G.; Lasiecka, I.; Triggiani, R.
1986
Construction of stochastic inertial manifolds using backward integration. Zbl 0876.60040
Da Prato, Giuseppe; Debussche, Arnaud
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.
2009
Weak solutions for linear abstract differential equations in Banach spaces. Zbl 0244.34048
Da Prato, G.
1970
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
2015
Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
2004
Elliptic operators on $$\mathbb{R}^d$$ with unbounded coefficients. Zbl 1002.35035
Da Prato, Giuseppe; Goldys, Beniamin
2002
Hölder regularity for non-autonomous abstract parabolic equations. Zbl 0495.47031
Da Prato, Giuseppe; Sinestrari, Eugenio
1982
Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016
Cannarsa, P.; Da Prato, G.
1992
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2011
Some results about dissipativity of Kolmogorov operators. Zbl 0996.47028
Da Prato, Giuseppe; Tubaro, Luciano
2001
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
2002
On a method for studying abstract evolution equations in the hyperbolic case. Zbl 0358.34063
da Prato, Giuseppe; Iannelli, Mimmo
1976
Quelques résultats d’existence, unicité et régularité pour un problème de la théorie du contrôle. Zbl 0289.93027
Da Prato, G.
1974
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Non autonomous evolution operators of hyperbolic type. Zbl 0791.47040
Da Prato, Giuseppe; Sinestrari, Eugenio
1992
Regularity of solutions of a class of linear integrodifferential equations in Banach spaces. Zbl 0576.45011
da Prato, Guiseppe; Iannelli, Mimmo; Sinestrari, E.
1985
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
2007
White noise perturbation of the equations of linear parabolic viscoelasticity. Zbl 0911.45010
Clément, Ph.; Da Prato, G.; Prüss, J.
1997
Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization. Zbl 0971.47019
Da Prato, Giuseppe; Tubaro, Luciano
2000
Some results on linear stochastic differential equations in Hilbert spaces. Zbl 0475.60041
Da Prato, G.; Iannelli, M.; Tubaro, L.
1982
Invariant measues for a stochastic porous medium equation. Zbl 1102.76074
Da Prato, Giuseppe; Röckner, Michael
2004
The damped wave equation in a moving domain. Zbl 0786.35089
Cannarsa, Piermarco; Da Prato, Giuseppe; Zolesio, Jean-Paul
1990
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
2011
Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010
Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène
2020
A mild Itô formula for SPDEs. Zbl 1423.35472
Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael
2019
On the law of the minimum in a class of unidimensional SDEs. Zbl 1418.60055
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
2019
Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
2019
Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces. Zbl 1392.28012
Da Prato, Giuseppe; Lunardi, Alessandra; Tubaro, Luciano
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
2018
Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532
Cannarsa, P.; Da Prato, G.; Frankowska, H.
2018
Gradient estimates for SDEs without monotonicity type conditions. Zbl 1430.60048
Da Prato, Giuseppe; Priola, Enrico
2018
An integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Zbl 1364.60080
Da Prato, Giuseppe; Debussche, Arnaud
2017
Surface integrals in Hilbert spaces for general measures and applications. Zbl 1436.46044
Da Prato, Giuseppe
2017
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2016
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
2016
Estimate for $$P_{t}D$$ for the stochastic Burgers equation. Zbl 1350.60057
Da Prato, Giuseppe; Debussche, Arnaud
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
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.
2015
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
2015
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains. Zbl 1330.35514
Da Prato, Giuseppe; Lunardi, Alessandra
2015
Stochastic equations in infinite dimensions. 2nd ed. Zbl 1317.60077
Da Prato, Giuseppe; Zabczyk, Jerzy
2014
Introduction to stochastic analysis and Malliavin calculus. 3rd ed. Zbl 1416.60001
Da Prato, Giuseppe
2014
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension. Zbl 1328.35291
Da Prato, Giuseppe; Lunardi, Alessandra
2014
Surface measures in infinite dimension. Zbl 1301.28009
Da Prato, Guiseppe; Lunardi, Alessandra; Tubaro, Luciano
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
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
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.
2013
Maximal $$L^2$$ regularity for Dirichlet problems in Hilbert spaces. Zbl 1293.35359
Da Prato, Giuseppe; Lunardi, Alessandra
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
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
2013
Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects. Zbl 1247.60099
Bonaccorsi, Stefano; da Prato, Giuseppe; Tubaro, Luciano
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
2012
The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2012
Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155
Cerrai, Sandra; Da Prato, Giuseppe
2012
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego
2012
Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities. Zbl 1257.35183
Da Prato, Giuseppe; Röckner, Michael
2012
Invariance for stochastic reaction-diffusion equations. Zbl 1262.60057
Cannarsa, Piermarco; Da Prato, Giuseppe
2012
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
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
2011
Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116
Barbu, Viorel; da Prato, Giuseppe
2011
Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054
Cannarsa, Piermarco; Da Prato, Giuseppe
2011
Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
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
2011
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
2010
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2010
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
2010
On the Dirichlet semigroup for Ornstein-Uhlenbeck operators in subsets of Hilbert spaces. Zbl 1204.35172
Da Prato, Giuseppe; Lunardi, Alessandra
2010
Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062
Barbu, Viorel; da Prato, Giuseppe
2010
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
2010
Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051
Bohachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
2010
Asymptotic behavior of stochastic PDEs with random coefficients. Zbl 1213.37122
da Prato, Giuseppe; Debussche, Arnaud
2010
Ultraboundedness for parabolic equations in convex domains without boundary conditions. Zbl 1193.37098
Da Prato, Giuseppe; Lunardi, Alessandra
2010
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu
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
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.
2009
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Erratum: Singular dissipative stochastic equations in Hilbert spaces. Zbl 1165.47031
Da Prato, Giuseppe; Röckner, Michael
2009
Stochastic equations in infinite dimensions. Reprint of the 1992 hardback ed. Zbl 1140.60034
Da Prato, Giuseppe; Zabczyk, Jerzy
2008
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
2008
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
A note on evolution systems of measures for time-dependent stochastic differential equations. Zbl 1154.60050
da Prato, Giuseppe; Röckner, Michael
2008
2D stochastic Navier-Stokes equations with a time-periodic forcing term. Zbl 1154.35099
Da Prato, Giuseppe; Debussche, Arnaud
2008
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
2008
Parabolic equations for measures on infinite-dimensional spaces. Zbl 1221.35442
Bogachev, V. I.; Da Prato, G.; Röckner, M.
2008
On a class of elliptic and parabolic equations in convex domains without boundary conditions. Zbl 1163.47037
da Prato, Giuseppe; Lunardi, Alessandra
2008
On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations. Zbl 1194.76033
Da Prato, Giuseppe; Debussche, Arnaud
2008
Some results on stochastic porous media equations. Zbl 1205.60109
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
Introduction to stochastic analysis and Malliavin calculus. 2nd ed. Zbl 1167.60012
Da Prato, Giuseppe
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
2008
Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231
Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael
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
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
2008
Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Zbl 1221.60096
Bogachev, V. I.; Da Prato, G.; Röckner, M.
2008
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
2007
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2007
$$m$$-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. Zbl 1119.35128
Da Prato, Giuseppe; Debussche, Arnaud
2007
Ornstein–Uhlenbeck operators with time periodic coefficients. Zbl 1155.47044
Da Prato, Giuseppe; Lunardi, Alessandra
2007
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
2007
A modified Kardar-Parisi-Zhang model. Zbl 1136.60043
Da Prato, Giuseppe; Debussche, Arnaud; Tubaro, Luciano
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
2007
Kolmogorov equations for stochastic PDE’s with multiplicative noise. Zbl 1138.60045
Da Prato, Giuseppe
2007
Introduction to stochastic analysis and Malliavin calculus. Zbl 1163.60001
Da Prato, Giuseppe
2007
Some results of backward Itô formula. Zbl 1129.60051
Da Prato, Giuseppe; Menaldi, Jose-Luis; Tubaro, Luciano
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
2007
An introduction to infinite-dimensional analysis. Zbl 1109.46001
Da Prato, Giuseppe
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
2006
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
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
2006
Dissipative stochastic equations in Hilbert space with time dependent coefficients. Zbl 1150.47030
Da Prato, Giuseppe; Röckner, Michael
2006
Stochastic partial differential equations and applications – VII. Papers of the 7th meeting, Levico, Terme, Italy, January 5–10, 2004. Zbl 1079.60009
2006
The stochastic obstacle problem for the harmonic oscillator with damping. Zbl 1093.60026
Barbu, Viorel; Da Prato, Giuseppe
2006
Maximal dissipativity of a class of elliptic degenerate operators in weighted $$L^2$$ spaces. Zbl 1136.35390
Da Prato, Giuseppe; Lunardi, Alessandra
2006
The Neumann problem on unbounded domains of $$\mathbb R^d$$ and stochastic variational inequalities. Zbl 1130.35137
Barbu, Viorel; Da Prato, Giuseppe
2005
Coupling for some partial differential equations driven by white noise. Zbl 1079.60061
Da Prato, Giuseppe; Debussche, Arnaud; Tubaro, Luciano
2005
Irreducibility of the transition semigroup associated with the two phase Stefan problem. Zbl 1104.35070
Barbu, Viorel; Da Prato, Giuseppe
2005
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
2005
Irreducibility of the transition semigroup associated with the stochastic obstacle problem. Zbl 1086.60043
Barbu, Viorel; da Prato, Giuseppe
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 16 Mathematics of Computation 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) 21 Classical thermodynamics, heat transfer (80-XX) 19 Integral transforms, operational calculus (44-XX) 18 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Optics, electromagnetic theory (78-XX) 11 Approximations and expansions (41-XX) 11 Information and communication theory, circuits (94-XX) 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) 5 Relativity and gravitational theory (83-XX) 4 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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