# zbMATH — the first resource for mathematics

## Röckner, Michael

Compute Distance To:
 Author ID: rockner.michael Published as: Rockner, M.; Roeckner, Michael; Röcker, Michael; Röckner, M.; Röckner, Michael; Röckner, Michaël Homepage: https://www.math.uni-bielefeld.de/~roeckner/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 360 Publications since 1983, including 17 Books Biographic References: 1 Publication
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#### Co-Authors

 18 single-authored 74 Albeverio, Sergio A. 66 Bogachev, Vladimir Igorevich 49 Kondrat’yev, Yuriĭ Grygorovych 45 Da Prato, Giuseppe 33 Barbu, Viorel 24 Ma, Zhi-Ming 23 Shaposhnikov, Stanislav V. 23 Wang, Feng-Yu 20 Zhang, Tusheng S. 14 Zhu, Xiang-Chan 13 Pasurek, Tatiana 13 Zhu, RongChan 12 Beznea, Lucian 10 Krylov, Nicolaĭ Vladimirovich 8 Zhang, Xicheng 7 Liu, Wei 7 Sobol, Zeev 7 Zhang, Deng 6 Flandoli, Franco 6 Kozitsky, Yuri V. 5 Marinelli, Carlo 5 Russo, Francesco 5 Schmuland, Byron 4 Boboc, Nicu 4 Gess, Benjamin 4 Konstantinov, Alexander Yu. 4 Lescot, Paul 4 Lytvynov, Eugene W. 4 Ren, Jiagang 4 Stannat, Wilhelm 3 Cerrai, Sandra 3 Fukushima, Masatoshi 3 Grothaus, Martin 3 Jentzen, Arnulf 3 Jost, Jürgen 3 Liskevich, Vitaliĭ A. 3 Ouyang, Shunxiang 3 Overbeck, Ludger 3 Potthoff, Jürgen 3 Streit, Ludwig 3 Trutnau, Gerald 3 Yoshida, Minoru W. 2 Bakry, Dominique 2 Bernabei, Maria Simonetta 2 Blanchard, Philippe 2 Chen, Zhen-Qing 2 Cîmpean, Iulian 2 Cornea, Aurel 2 da Silva, José Luís 2 Daletskii, Alexei 2 Finkelshteĭn, Dmitriĭ Leonidovich 2 Gesztesy, Fritz 2 Gordina, Maria 2 Hansen, Wolfhard 2 Hida, Takeyuki 2 Holden, Helge 2 Kawabi, Hiroshi 2 Lyons, Terence John 2 Munteanu, Ionut 2 Paycha, Sylvie 2 Prévôt, Claudia Ingrid 2 Priola, Enrico 2 Pugachev, O. V. 2 Scarlatti, Sergio 2 Shchepan’uk, Gennadi V. 2 Teplyaev, Alexander 2 Wu, Bo 2 Wu, Liming 1 Accardi, Luigi 1 Beyn, Wolf-Jürgen 1 Bohachev, V. I. 1 Brasche, Johannes Friedemann 1 Bucur, Gheorghe 1 Driver, Bruce K. 1 Engelbert, Hans Jürgen 1 Fagnola, Franco 1 Fan, Ruzong 1 Fuhrman, Marco 1 Goldys, Beniamin 1 Gong, Fuzhou 1 Grigor’yan, Alexander Asaturovich 1 Grunau, Hans-Christoph 1 Ha, Seung-Yeal 1 Hagedorn, Dennis 1 Hao, Zimo 1 Herr, Sebastian 1 Hinz, Michael 1 Hu, Yaozhong 1 Huang, Xing 1 Jung, Jinwook 1 Karatzas, Ioannis 1 Karwowski, Witold 1 Kendall, Wilfrid S. 1 Kolesnikov, Alexander V. 1 Kondratiev, Yuri 1 Kusuoka, Shigeo 1 Léandre, Rémi 1 Minlos, Robert Adol’fovich 1 Mosco, Umberto 1 Rebenko, Alexei L. ...and 16 more Co-Authors
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#### Serials

 40 Journal of Functional Analysis 16 Doklady Mathematics 16 Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 The Annals of Probability 15 Journal of Differential Equations 15 Probability Theory and Related Fields 11 Potential Analysis 10 Comptes Rendus de l’Académie des Sciences. Série I 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Communications in Mathematical Physics 9 Stochastic Processes and their Applications 6 Reviews in Mathematical Physics 6 Journal of Evolution Equations 5 Forum Mathematicum 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Mathematical Sciences (New York) 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Theory of Probability and its Applications 4 Osaka Journal of Mathematics 4 Lecture Notes in Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Bulletin of the London Mathematical Society 3 Acta Applicandae Mathematicae 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematical Analysis and Applications 2 Canadian Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Random Operators and Stochastic Equations 2 Electronic Journal of Probability 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Theta Series in Advanced Mathematics 2 Universitext 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Control and Optimization 1 Transactions of the Moscow Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Theoretical Probability 1 Expositiones Mathematicae 1 Stochastics and Stochastics Reports 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Methods of Functional Analysis and Topology 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Moscow Mathematical Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Mathematical Surveys and Monographs 1 AMS/IP Studies in Advanced Mathematics 1 Complex Analysis and Operator Theory 1 RIMS Kôkyûroku Bessatsu 1 EMS Tracts in Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Communications in Mathematics and Statistics
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#### Fields

 319 Probability theory and stochastic processes (60-XX) 139 Partial differential equations (35-XX) 84 Operator theory (47-XX) 79 Potential theory (31-XX) 50 Global analysis, analysis on manifolds (58-XX) 48 Statistical mechanics, structure of matter (82-XX) 22 Fluid mechanics (76-XX) 20 Quantum theory (81-XX) 18 Functional analysis (46-XX) 15 Measure and integration (28-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

301 Publications have been cited 4,683 times in 2,056 Documents Cited by Year
A concise course on stochastic partial differential equations. Zbl 1123.60001
Prévôt, Claudia; Röckner, Michael
2007
Introduction to the theory of (non-symmetric) Dirichlet forms. Zbl 0826.31001
Ma, Zhi-Ming; Röckner, Michael
1992
Strong solutions of stochastic equations with singular time dependent drift. Zbl 1072.60050
Krylov, N. V.; Röckner, M.
2005
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
2001
Analysis and geometry on configuration spaces. Zbl 0914.58028
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1998
Weak Poincaré inequalities and $$L^2$$-convergence rates of Markov semigroups. Zbl 1009.47028
Röckner, Michael; Wang, Feng-Yu
2001
Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055
Albeverio, S.; Röckner, M.
1991
Stochastic generalized porous media and fast diffusion equations. Zbl 1129.60059
Ren, Jiagang; Röckner, Michael; Wang, Feng-Yu
2007
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
2007
Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1998
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065
Cerrai, Sandra; Röckner, Michael
2004
Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036
Albeverio, Sergio; Röckner, Michael
1990
SPDE in Hilbert space with locally monotone coefficients. Zbl 1236.60064
Liu, Wei; Röckner, Michael
2010
Stochastic partial differential equations: an introduction. Zbl 1361.60002
Liu, Wei; Röckner, Michael
2015
Random attractors for a class of stochastic partial differential equations driven by general additive noise. Zbl 1228.35062
Gess, Benjamin; Liu, Wei; Röckner, Michael
2011
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Elliptic and parabolic equations for measures. Zbl 1194.35481
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
2009
Harnack and functional inequalities for generalized Mehler semigroups. Zbl 1059.47051
Röckner, Michael; Wang, Feng-Yu
2003
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
2015
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
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
Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094
Albeverio, Sergio; Röckner, Michael
1989
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Zbl 1062.47044
Röckner, M.; Wang, Feng-Yu
2003
Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029
Da Prato, Giuseppe; Röckner, Michael
2002
Regularity of invariant measures on finite and infinite dimensional spaces and applications. Zbl 0840.60069
1995
Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Zbl 1186.60060
Marinelli, Carlo; Prévôt, Claudia; Röckner, Michael
2010
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047
Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu
2009
Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002
Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael
1994
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
2010
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
2008
Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028
Röckner, Michael; Zhang, Tu-Sheng
1992
Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Zbl 1241.60030
Jentzen, Arnulf; Röckner, Michael
2012
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
Fuhrman, Marco; Röckner, Michael
2000
Generalized Mehler semigroups and applications. Zbl 0849.60066
Bogachev, Vladimir I.; Röckner, Michael; Schmuland, Byron
1996
Dirichlet operators via stochastic analysis. Zbl 0820.60042
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1995
Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053
Röckner, Michael; Zhang, Tu-Sheng
1994
The global random attractor for a class of stochastic porous media equations. Zbl 1284.60124
Beyn, Wolf-Jürgen; Gess, Benjamin; Lescot, Paul; Röckner, Michael
2011
Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046
Liu, Wei; Röckner, Michael
2013
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Zbl 1055.58009
Bogachev, V. I.; Röckner, M.; Stannat, W.
2002
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
2015
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064
Albeverio, S.; Bogachev, V.; Röckner, M.
1999
Non-monotone stochastic generalized porous media equations. Zbl 1151.76032
Röckner, Michael; Wang, Feng-Yu
2008
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118
Röckner, Michael; Zhang, Xicheng
2009
Weak solutions to stochastic porous media equations. Zbl 1049.60092
Da Prato, Giuseppe; Röckner, Michael
2004
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
2013
A generalization of Khasminskij’s theorem on the existence of invariant measures for locally integrable drifts. Zbl 1004.60061
Bogachev, V.; Röckner, M.
2000
Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060
Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng
2009
Markov processes associated with $$L^{p}$$-resolvents and applications to stochastic differential equations on Hilbert space. Zbl 1114.60060
Beznea, Lucian; Boboc, Nicu; Röckner, Michael
2006
Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Zbl 0996.58023
Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu
2001
Tightness of general $$C_{1,p}$$ capacities on Banach space. Zbl 0757.60058
Röckner, Michael; Schmuland, Byron
1992
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355
Hinz, Michael; Röckner, Michael; Teplyaev, Alexander
2013
Elliptic regularity and essential self-adjointness of Dirichlet operators on $$\mathbb{R}^n$$. Zbl 0901.35017
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael
1997
Markov processes associated with semi-Dirichlet forms. Zbl 0834.60086
Ma, Zhi-Ming; Overbeck, Ludger; Röckner, Michael
1995
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2011
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
2007
Stochastic analysis on configuration spaces: Basic ideas and recent results. Zbl 1037.58026
Röckner, Michael
1998
Markov processes associated with positivity preserving coercive forms. Zbl 0828.31005
Ma, Zhi-Ming; Röckner, Michael
1995
A Milstein scheme for SPDEs. Zbl 1318.60072
Jentzen, Arnulf; Röckner, Michael
2015
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
2004
Construction of diffusions on configuration spaces. Zbl 0968.58028
Ma, Zhi-Ming; Röckner, Michael
2000
Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032
Röckner, Michael; Zhang, Tusheng
2012
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
2011
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
2007
Quasi-regular Dirichlet forms and $$L^p$$-resolvents on measurable spaces. Zbl 1107.31006
Beznea, Lucian; Boboc, Nicu; Röckner, Michael
2006
Differential geometry of Poisson spaces. Zbl 0866.58011
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael
1996
Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047
Driver, Bruce K.; Röckner, Michaël
1992
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2010
Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Zbl 1225.60108
Marinelli, Carlo; Roeckner, Michael
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.
2009
Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
2004
Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. Zbl 0959.58009
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1999
Ergodicity of $$L^ 2$$-semigroups and extremality of Gibbs states. Zbl 0880.60098
Albeverio, Sergio; Kondratiev, Yuri G.; Röcker, Michael
1997
Quasi-regular Dirichlet forms: Examples and counterexamples. Zbl 0827.31006
Röckner, Michael; Schmuland, Byron
1995
On partial integration in infinite-dimensional space and applications to Dirichlet forms. Zbl 0667.31010
Albeverio, Sergio; Kusuoka, Shigeo; Röckner, Michael
1990
Traces of harmonic functions and a new path space for the free quantum field. Zbl 0642.60055
Röckner, Michael
1988
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2016
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
2009
Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations. Zbl 1106.35127
Röckner, Michael; Sobol, Zeev
2006
Uniqueness of Gibbs states for quantum lattice systems. Zbl 0883.60094
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.; Tsikalenko, T. V.
1997
Regularity of invariant measures: The case of non-constant diffusion part. Zbl 0929.60039
Bogachev, V. I.; Krylov, N.; Röckner, M.
1996
Specifications and Martin boundaries for $${\mathcal P}(\Phi)_ 2$$-random fields. Zbl 0614.60068
Röckner, Michael
1986
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
On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164
Marinelli, Carlo; Röckner, Michael
2014
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2012
On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures. Zbl 1291.35425
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2011
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2011
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112
Röckner, Michael; Zhang, Xicheng
2010
Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. Zbl 0892.60008
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael
1997
Girsanov transform for symmetric diffusions with infinite dimensional state space. Zbl 0776.60093
Albeverio, S.; Röckner, M.; Zhang, T. S.
1993
Dirichlet forms - closability and change of speed measure. Zbl 0573.31005
Röckner, M.; Wielens, N.
1985
On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064
Marinelli, Carlo; Röckner, Michael
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
Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2014
Large deviations for stochastic generalized porous media equations. Zbl 1155.60313
Röckner, Michael; Wang, Feng-Yu; Wu, Liming
2006
Euclidean Gibbs states of quantum lattice systems. Zbl 1029.82006
Albeverio, S.; Kondratiev, Yu.; Kozitsky, Yu.; Röckner, M.
2002
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 07224963
Barbu, Viorel; Röckner, Michael
2020
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. Zbl 1448.60124
Liu, Wei; Röckner, Michael; Sun, Xiaobin; Xie, Yingchao
2020
Stochastic heat equations with values in a manifold via Dirichlet forms. Zbl 1445.60048
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan
2020
A mild Itô formula for SPDEs. Zbl 1423.35472
Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael
2019
Nonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdes. Zbl 1417.60056
Huang, Xing; Röckner, Michael; Wang, Feng-Yu
2019
Scattering for stochastic nonlinear Schrödinger equations. Zbl 1416.35239
Herr, Sebastian; Röckner, Michael; Zhang, Deng
2019
Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Zbl 1411.60010
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
2019
On convergence to stationary distributions for solutions of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1431.35208
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2019
A new approach to the existence of invariant measures for Markovian semigroups. Zbl 1421.37010
Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael
2019
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
2018
Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086
Liu, Wei; Röckner, Michael; da Silva, José Luís
2018
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2018
Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281
Munteanu, Ionuţ; Röckner, Michael
2018
Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Zbl 1391.60189
Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael
2018
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051
Barbu, Viorel; Röckner, Michael
2018
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115
Barbu, Viorel; Röckner, Michael
2018
The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2018
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. Zbl 1401.35145
Grigor’yan, Alexander; Ouyang, Shunxiang; Röckner, Michael
2018
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2017
Restricted Markov uniqueness for the stochastic quantization of $$P(\Phi)_{2}$$ and its applications. Zbl 1405.60096
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2017
Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations. Zbl 1360.60123
Gess, Benjamin; Röckner, Michael
2017
Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2017
Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094
Barbu, Viorel; Röckner, Michael
2017
Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Zbl 1377.35297
Röckner, Michael; Russo, Francesco
2017
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095
Barbu, Viorel; Röckner, Michael
2017
Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2017
The stochastic logarithmic Schrödinger equation. Zbl 1360.60119
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2017
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2016
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
On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064
Marinelli, Carlo; Röckner, Michael
2016
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2016
Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results. Zbl 1364.31012
Röckner, Michael; Shin, Jiyong; Trutnau, Gerald
2016
Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Zbl 1348.60117
Ouyang, Shun-Xiang; Röckner, Michael
2016
Stochastic partial differential equations: an introduction. Zbl 1361.60002
Liu, Wei; Röckner, Michael
2015
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
2015
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
2015
A Milstein scheme for SPDEs. Zbl 1318.60072
Jentzen, Arnulf; Röckner, Michael
2015
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
2015
Singular-degenerate multivalued stochastic fast diffusion equations. Zbl 1330.60080
Gess, Benjamin; Röckner, Michael
2015
Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
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
Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2015
BV functions in a Gelfand triple for differentiable measure and its applications. Zbl 1348.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2015
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Zbl 1322.60122
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2015
Stochastic porous media equations in $$\mathbb R^d$$. Zbl 1405.76047
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2015
On the existence of the dual right Markov process and applications. Zbl 1317.60094
Beznea, Lucian; Röckner, Michael
2015
Quasi regular Dirichlet forms and the stochastic quantization problem. Zbl 1336.31022
Albeverio, Sergio; Ma, Zhi-Ming; Röckner, Michael
2015
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164
Marinelli, Carlo; Röckner, Michael
2014
Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
2014
On continuity equations in infinite dimensions with non-Gaussian reference measure. Zbl 1317.60083
Kolesnikov, Alexander V.; Röckner, Michael
2014
A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2014
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Zbl 1339.60083
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2014
A homeomorphism relating path spaces of stochastic processes with values in $$\mathbb R^{\mathbb Z}$$ respectively $$(S^{1})^{\mathbb Z}$$. Zbl 1432.60042
Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W.
2014
On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
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
Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046
Liu, Wei; Röckner, Michael
2013
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
2013
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355
Hinz, Michael; Röckner, Michael; Teplyaev, Alexander
2013
Large deviation principles for the stochastic quasi-geostrophic equations. Zbl 1291.60133
Liu, Wei; Röckner, Michael; Zhu, Xiang-Chan
2013
Gibbs states over the cone of discrete measures. Zbl 1285.82035
Hagedorn, Dennis; Kondratiev, Yuri; Pasurek, Tanja; Röckner, Michael
2013
On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1273.35271
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
2013
General extinction results for stochastic partial differential equations and applications. Zbl 1288.60078
Röckner, Michael; Wang, Feng-Yu
2013
Stochastic generalized porous media equations with reflection. Zbl 1328.60152
Röckner, Michael; Wang, Feng-Yu; Zhang, Tusheng
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
2013
Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Zbl 1241.60030
Jentzen, Arnulf; Röckner, Michael
2012
Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032
Röckner, Michael; Zhang, Tusheng
2012
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2012
Gibbs measures of continuous systems: an analytic approach. Zbl 1267.82029
Kondratiev, Yuri; Pasurek, Tanja; Röckner, Michael
2012
Harnack inequalities and applications for Ornstein-Uhlenbeck semigroups with jump. Zbl 1247.60123
Ouyang, Shun-Xiang; Röckner, Michael; Wang, Feng-Yu
2012
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. Zbl 1267.60074
Röckner, Michael; Zhu, Rong-Chan; Zhu, Xiang-Chan
2012
Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. Zbl 1238.60071
Barbu, Viorel; Röckner, Michael
2012
Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions. Zbl 1256.47027
Albeverio, Sergio; Kawabi, Hiroshi; Röckner, Michael
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
Stochastic quasi-geostrophic equation. Zbl 1248.60074
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan
2012
Localization of solutions to stochastic porous media equations: finite speed of propagation. Zbl 1246.60085
Barbu, Viorel; Roeckner, Michael
2012
Phase transitions and quantum effects in anharmonic crystals. Zbl 1247.82024
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael
2012
Random attractors for a class of stochastic partial differential equations driven by general additive noise. Zbl 1228.35062
Gess, Benjamin; Liu, Wei; Röckner, Michael
2011
The global random attractor for a class of stochastic porous media equations. Zbl 1284.60124
Beyn, Wolf-Jürgen; Gess, Benjamin; Lescot, Paul; Röckner, Michael
2011
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2011
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
2011
On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures. Zbl 1291.35425
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2011
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2011
From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces. Zbl 1239.60078
Beznea, Lucian; Röckner, Michael
2011
Dimension-independent Harnack inequalities for subordinated semigroups. Zbl 1219.43006
Gordina, Maria; Röckner, Michael; Wang, Feng-Yu
2011
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2011
Applications of compact superharmonic functions: path regularity and tightness of capacities. Zbl 1275.31002
Beznea, Lucian; Röckner, Michael
2011
Potential theory of infinite dimensional Lévy processes. Zbl 1252.60062
Beznea, Lucian; Cornea, Aurel; Röckner, Michael
2011
Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2011
SPDE in Hilbert space with locally monotone coefficients. Zbl 1236.60064
Liu, Wei; Röckner, Michael
2010
Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Zbl 1186.60060
Marinelli, Carlo; Prévôt, Claudia; Röckner, Michael
2010
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
2010
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
2010
Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Zbl 1225.60108
Marinelli, Carlo; Roeckner, Michael
2010
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112
Röckner, Michael; Zhang, Xicheng
2010
Probabilistic representation for solutions of an irregular porous media type equation. Zbl 1202.60111
Blanchard, Philippe; Röckner, Michael; Russo, Francesco
2010
...and 201 more Documents
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#### Cited by 1,614 Authors

 189 Röckner, Michael 78 Wang, Feng-Yu 72 Albeverio, Sergio A. 69 Kondrat’yev, Yuriĭ Grygorovych 61 Bogachev, Vladimir Igorevich 50 Barbu, Viorel 50 Shaposhnikov, Stanislav V. 49 Da Prato, Giuseppe 43 Zhang, Tusheng S. 34 Flandoli, Franco 31 Zhang, Xicheng 26 Chen, Zhen-Qing 25 Gess, Benjamin 24 Beznea, Lucian 24 Liu, Wei 23 Zhu, RongChan 22 Zhai, Jianliang 21 Daletskii, Alexei 21 Kutoviy, Oleksandr V. 20 Grothaus, Martin 20 Kozitsky, Yuri V. 19 Brzeźniak, Zdzisław 19 Wang, Bixiang 19 Zhu, Xiang-Chan 18 Jentzen, Arnulf 17 Ma, Zhi-Ming 16 Luo, Dejun 16 Lytvynov, Eugene W. 16 Marinelli, Carlo 16 Russo, Francesco 15 Finkelshteĭn, Dmitriĭ Leonidovich 15 Lorenzi, Luca 15 Pasurek, Tatiana 15 Stannat, Wilhelm 15 Sun, Wei 15 Yuan, Chenggui 14 Hinz, Michael 13 Fukushima, Masatoshi 13 Kuwae, Kazuhiro 13 Priola, Enrico 13 Teplyaev, Alexander 13 Wu, Liming 12 Duan, Jinqiao 12 Guillin, Arnaud 12 Lunardi, Alessandra 12 Scarpa, Luca 12 Wang, Jian 12 Xu, Lihu 12 Yi, Yingfei 11 Bao, Jianhai 11 Cattiaux, Patrick 11 Dong, Zhao 10 Debussche, Arnaud 10 Hairer, Martin 10 Huang, Xing 10 Schilling, René Leander 10 Tappe, Stefan 10 Trutnau, Gerald 10 Xie, Longjie 10 Xie, Yingchao 10 Zambotti, Lorenzo 10 Zegarlinski, Boguslaw 9 Ambrosio, Luigi 9 Ciotir, Ioana 9 Fitzsimmons, Patrick J. 9 Gao, Hongjun 9 Larsson, Stig 9 Proske, Frank Norbert 9 Tachim Medjo, Theodore 9 Tambue, Antoine 9 Temam, Roger Meyer 9 Wang, Ran 9 Wu, Jianglun 8 Arapostathis, Aristotle 8 Biswas, Anup 8 Bonaccorsi, Stefano 8 Cerrai, Sandra 8 Deng, Changsong 8 Goldys, Beniamin 8 Gu, Anhui 8 Ji, Min 8 Kim, Jong Uhn 8 Kirillov, A. I. 8 Manita, Oxana A. 8 Song, Shiqi 8 Tölle, Jonas M. 8 Tubaro, Luciano 8 Wu, Bo 8 Ying, Jiangang 8 Zabczyk, Jerzy 8 Zhang, Deng 7 Angiuli, Luciana 7 Di Persio, Luca 7 Gubinelli, Massimiliano 7 Klimsiak, Tomasz 7 Lv, Guangying 7 Minlos, Robert Adol’fovich 7 Osada, Hirofumi 7 Pallara, Diego 7 Robinson, Derek W. ...and 1,514 more Authors
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#### Cited in 267 Serials

 164 Journal of Functional Analysis 113 Stochastic Processes and their Applications 90 Potential Analysis 88 Journal of Differential Equations 74 Journal of Mathematical Analysis and Applications 70 The Annals of Probability 67 Infinite Dimensional Analysis, Quantum Probability and Related Topics 55 Probability Theory and Related Fields 40 Stochastic and Partial Differential Equations. Analysis and Computations 38 Stochastics and Dynamics 36 Doklady Mathematics 34 Journal of Mathematical Physics 34 Stochastic Analysis and Applications 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Evolution Equations 30 Journal of Theoretical Probability 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 25 Transactions of the American Mathematical Society 25 Discrete and Continuous Dynamical Systems 23 Communications in Mathematical Physics 21 Statistics & Probability Letters 21 SIAM Journal on Mathematical Analysis 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Applied Mathematics and Optimization 19 Acta Mathematica Sinica. English Series 18 Science China. Mathematics 17 The Annals of Applied Probability 16 Proceedings of the American Mathematical Society 16 Journal of Dynamics and Differential Equations 16 Journal of Mathematical Sciences (New York) 16 NoDEA. Nonlinear Differential Equations and Applications 16 Bulletin des Sciences Mathématiques 15 Journal of Statistical Physics 15 Discrete and Continuous Dynamical Systems. Series B 13 Reviews in Mathematical Physics 13 Communications on Pure and Applied Analysis 12 Electronic Journal of Probability 12 Stochastics 12 Frontiers of Mathematics in China 11 Acta Applicandae Mathematicae 11 Physica D 11 Communications in Partial Differential Equations 10 Reports on Mathematical Physics 9 Applied Mathematics and Computation 8 Archive for Rational Mechanics and Analysis 8 Communications on Pure and Applied Mathematics 8 Mathematics of Computation 8 Acta Mathematicae Applicatae Sinica. English Series 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Theoretical and Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Semigroup Forum 7 Forum Mathematicum 7 Bernoulli 6 Mathematical Notes 6 Ukrainian Mathematical Journal 6 Journal of Geometry and Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of Optimization Theory and Applications 6 Mathematische Annalen 6 Mathematische Nachrichten 6 Mathematische Zeitschrift 6 SIAM Journal on Numerical Analysis 6 Tohoku Mathematical Journal. Second Series 6 Applied Mathematics Letters 6 Journal of Scientific Computing 6 Calculus of Variations and Partial Differential Equations 6 Abstract and Applied Analysis 6 Journal of Mathematical Fluid Mechanics 5 Computers & Mathematics with Applications 5 Osaka Journal of Mathematics 5 Science in China. Series A 5 Differentsial’nye Uravneniya i Protsessy Upravleniya 5 International Journal of Stochastic Analysis 4 Advances in Applied Probability 4 International Journal of Control 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Advances in Mathematics 4 Automatica 4 Functional Analysis and its Applications 4 Inventiones Mathematicae 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 SIAM Journal on Control and Optimization 4 Applied Numerical Mathematics 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 The Journal of Geometric Analysis 4 Numerical Algorithms 4 Journal of Nonlinear Science 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Theory of Probability and Mathematical Statistics 4 Random Operators and Stochastic Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Nonlinear Analysis. Real World Applications 4 Proceedings of the Steklov Institute of Mathematics 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 Communications in Mathematics and Statistics 3 Israel Journal of Mathematics 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 167 more Serials
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#### Cited in 52 Fields

 1,615 Probability theory and stochastic processes (60-XX) 854 Partial differential equations (35-XX) 317 Operator theory (47-XX) 211 Potential theory (31-XX) 184 Statistical mechanics, structure of matter (82-XX) 174 Dynamical systems and ergodic theory (37-XX) 136 Numerical analysis (65-XX) 128 Fluid mechanics (76-XX) 118 Global analysis, analysis on manifolds (58-XX) 117 Functional analysis (46-XX) 88 Ordinary differential equations (34-XX) 79 Measure and integration (28-XX) 76 Quantum theory (81-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 69 Systems theory; control (93-XX) 44 Biology and other natural sciences (92-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Real functions (26-XX) 21 Differential geometry (53-XX) 18 Statistics (62-XX) 12 Integral equations (45-XX) 12 Mechanics of deformable solids (74-XX) 11 Approximations and expansions (41-XX) 10 Difference and functional equations (39-XX) 10 Mechanics of particles and systems (70-XX) 10 Geophysics (86-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Integral transforms, operational calculus (44-XX) 5 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Optics, electromagnetic theory (78-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

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