Edit Profile (opens in new tab) Röckner, Michael Co-Author Distance Author ID: rockner.michael Published as: Röckner, Michael; Röckner, M.; Roeckner, Michael; Röckner, Michaël; Röcker, Michael; Rockner, M. more...less Further Spellings: Рёкнер, Михаэль Homepage: https://www.math.uni-bielefeld.de/~roeckner/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 423 Publications since 1983, including 9 Books and 34 Additional arXiv Preprints 9 Contributions as Editor Biographic References: 1 Publication Co-Authors: 141 Co-Authors with 412 Joint Publications 3,834 Co-Co-Authors all top 5 Co-Authors 18 single-authored 79 Albeverio, Sergio A. 71 Bogachev, Vladimir Igorevich 49 Kondrat’yev, Yuriĭ Grygorovych 46 Barbu, Viorel 46 Da Prato, Giuseppe 27 Shaposhnikov, Stanislav V. 24 Ma, Zhi-Ming 24 Wang, Feng-Yu 21 Zhang, Tusheng S. 17 Beznea, Lucian 15 Zhu, Xiang-Chan 14 Pasurek, Tatiana 14 Zhu, RongChan 12 Zhang, Deng 11 Zhang, Xicheng 10 Krylov, Nicolaĭ Vladimirovich 9 Liu, Wei 8 Kozitsky, Yuri Vasil’evich 7 Flandoli, Franco 7 Sobol, Zeev 6 Lytvynov, Eugene W. 6 Russo, Francesco 6 Xie, Longjie 5 Boboc, Nicu 5 Cîmpean, Iulian 5 da Silva, José Luís 5 Gess, Benjamin 5 Marinelli, Carlo 5 Schmuland, Byron 5 Xie, Yingchao 5 Yoshida, Minoru W. 4 Hao, Zimo 4 Konstantinov, Aleksandr Yu. 4 Lescot, Paul 4 Ouyang, Shunxiang 4 Ren, Jiagang 4 Stannat, Wilhelm 4 Sun, Xiaobin 3 Baňas, Ľubomír 3 Cerrai, Sandra 3 Cheng, Mengyu 3 Fukushima, Masatoshi 3 Grothaus, Martin 3 Jentzen, Arnulf 3 Jost, Jürgen 3 Kawabi, Hiroshi 3 Liskevich, Vitaliĭ A. 3 Overbeck, Ludger 3 Potthoff, Jürgen 3 Streit, Ludwig 3 Trutnau, Gerald 3 Wilke, André 3 Wu, Weina 2 Bakry, Dominique 2 Bernabei, Maria Simonetta 2 Blanchard, Philippe 2 Chen, Zhen-Qing 2 Cornea, Aurel 2 Daletskii, Alexei 2 Finkelshteĭn, Dmitriĭ Leonidovich 2 Gesztesy, Fritz 2 Goldys, Beniamin 2 Gordina, Maria 2 Hansen, Wolfhard 2 Herr, Sebastian 2 Hida, Takeyuki 2 Holden, Helge 2 Liu, Zhenxin 2 Lyons, Terence John 2 Munteanu, Ionut 2 Nendel, Max 2 Paycha, Sylvie 2 Prévôt, Claudia Ingrid 2 Priola, Enrico 2 Pugachev, O. V. 2 Rehmeier, Marco 2 Scarlatti, Sergio 2 Shchepan’uk, Gennadi V. 2 Su, Yiming 2 Teplyaev, Alexander 2 Wu, Bo 2 Wu, Liming 2 Yang, Li 2 Zhao, GuoHuan 1 Accardi, Luigi 1 Beyn, Wolf-Jürgen 1 Beznea, Camelia 1 Bohachev, V. I. 1 Brasche, Johannes Friedemann 1 Bucur, Gheorghe 1 Driver, Bruce K. 1 Engelbert, Hans-Jürgen 1 Erraoui, Mohamed 1 Fagnola, Franco 1 Fan, Ruzong 1 Fan, Xiliang 1 Federico, Salvatore 1 Ferrari, Giorgio 1 Fuhrman, Marco 1 Gong, Fuzhou ...and 41 more Co-Authors all top 5 Serials 43 Journal of Functional Analysis 18 Journal of Differential Equations 17 Doklady Mathematics 17 Infinite Dimensional Analysis, Quantum Probability and Related Topics 16 The Annals of Probability 16 Probability Theory and Related Fields 11 Potential Analysis 10 Communications in Mathematical Physics 10 Comptes Rendus de l’Académie des Sciences. Série I 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Stochastic Processes and their Applications 9 Stochastic and Partial Differential Equations. Analysis and Computations 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Reviews in Mathematical Physics 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 6 Journal of Evolution Equations 5 Theory of Probability and its Applications 5 Forum Mathematicum 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Mathematical Sciences (New York) 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Applied Mathematics and Optimization 4 Osaka Journal of Mathematics 4 Electronic Journal of Probability 4 Lecture Notes in Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 SIAM Journal on Control and Optimization 3 Transactions of the American 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 2 Journal of Mathematical Analysis and Applications 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 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 Random Operators and Stochastic Equations 2 Bernoulli 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 CMS Conference Proceedings 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 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 Transactions of the Moscow Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Expositiones Mathematicae 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 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 Oberwolfach Reports 1 Mathematical Surveys and Monographs 1 Stochastics 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 1 Pure and Applied Functional Analysis all top 5 Fields 370 Probability theory and stochastic processes (60-XX) 170 Partial differential equations (35-XX) 97 Operator theory (47-XX) 84 Potential theory (31-XX) 54 Statistical mechanics, structure of matter (82-XX) 51 Global analysis, analysis on manifolds (58-XX) 26 Fluid mechanics (76-XX) 22 Quantum theory (81-XX) 21 Functional analysis (46-XX) 16 Measure and integration (28-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 General and overarching topics; collections (00-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 352 Publications have been cited 7,022 times in 3,141 Documents Cited by ▼ Year ▼ A concise course on stochastic partial differential equations. Zbl 1123.60001 Prévôt, Claudia; Röckner, Michael 481 2007 Introduction to the theory of (non-symmetric) Dirichlet forms. Zbl 0826.31001 Ma, Zhi-Ming; Röckner, Michael 288 1992 Stochastic partial differential equations: an introduction. Zbl 1361.60002 Liu, Wei; Röckner, Michael 217 2015 Strong solutions of stochastic equations with singular time dependent drift. Zbl 1072.60050 Krylov, N. V.; Röckner, M. 208 2005 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002 Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 148 2015 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. 132 2001 Analysis and geometry on configuration spaces. Zbl 0914.58028 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 120 1998 Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups. Zbl 1009.47028 Röckner, Michael; Wang, Feng-Yu 104 2001 SPDE in Hilbert space with locally monotone coefficients. Zbl 1236.60064 Liu, Wei; Röckner, Michael 104 2010 Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055 Albeverio, S.; Röckner, M. 97 1991 Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065 Cerrai, Sandra; Röckner, Michael 91 2004 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057 Röckner, Michael; Zhang, Tusheng 86 2007 Random attractors for a class of stochastic partial differential equations driven by general additive noise. Zbl 1228.35062 Gess, Benjamin; Liu, Wei; Röckner, Michael 86 2011 Stochastic generalized porous media and fast diffusion equations. Zbl 1129.60059 Ren, Jiagang; Röckner, Michael; Wang, Feng-Yu 84 2007 Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 81 1998 Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036 Albeverio, Sergio; Röckner, Michael 73 1990 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. 66 2013 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 63 2009 Elliptic and parabolic equations for measures. Zbl 1194.35481 Bogachev, V. I.; Krylov, N. V.; Röckner, M. 60 2009 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 60 2020 Harnack and functional inequalities for generalized Mehler semigroups. Zbl 1059.47051 Röckner, Michael; Wang, Feng-Yu 58 2003 Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046 Liu, Wei; Röckner, Michael 54 2013 Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093 Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng 53 2010 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 52 2006 Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094 Albeverio, Sergio; Röckner, Michael 48 1989 Well-posedness of distribution dependent SDEs with singular drifts. Zbl 1480.60171 Röckner, Michael; Zhang, Xicheng 48 2021 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 46 2009 Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053 Röckner, Michael; Wang, Feng-Yu 46 2010 Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Zbl 1062.47044 Röckner, M.; Wang, Feng-Yu 46 2003 Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118 Röckner, Michael; Zhang, Xicheng 44 2009 Regularity of invariant measures on finite and infinite dimensional spaces and applications. Zbl 0840.60069 Bogachev, Vladimir I.; Röckner, Michael 43 1995 The global random attractor for a class of stochastic porous media equations. Zbl 1284.60124 Beyn, Wolf-Jürgen; Gess, Benjamin; Lescot, Paul; Röckner, Michael 43 2011 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047 Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 42 2009 Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029 Da Prato, Giuseppe; Röckner, Michael 41 2002 Generalized Mehler semigroups and applications. Zbl 0849.60066 Bogachev, Vladimir I.; Röckner, Michael; Schmuland, Byron 41 1996 Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Zbl 1241.60030 Jentzen, Arnulf; Röckner, Michael 41 2012 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 40 2020 Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028 Fuhrman, Marco; Röckner, Michael 39 2000 Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Zbl 1186.60060 Marinelli, Carlo; Prévôt, Claudia; Röckner, Michael 39 2010 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122 Barbu, Viorel; Röckner, Michael 38 2015 Stochastic porous media equations. Zbl 1355.60004 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 38 2016 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 38 2014 On parabolic equations for measures. Zbl 1323.35058 Bogachev, V. I.; Da Prato, G.; Röckner, M. 38 2008 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091 Barbu, Viorel; Röckner, Michael 37 2018 Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002 Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael 37 1994 Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060 Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng 37 2009 Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Zbl 1055.58009 Bogachev, V. I.; Röckner, M.; Stannat, W. 37 2002 Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032 Röckner, Michael; Zhang, Tusheng 36 2012 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118 Barbu, Viorel; Röckner, Michael; Zhang, Deng 36 2016 A Milstein scheme for SPDEs. Zbl 1318.60072 Jentzen, Arnulf; Röckner, Michael 35 2015 Dirichlet operators via stochastic analysis. Zbl 0820.60042 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 35 1995 Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028 Röckner, Michael; Zhang, Tu-Sheng 35 1992 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202 Barbu, Viorel; Röckner, Michael 34 2013 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064 Marinelli, Carlo; Röckner, Michael 34 2016 A generalization of Khasminskij’s theorem on the existence of invariant measures for locally integrable drifts. Zbl 1004.60061 Bogachev, V.; Röckner, M. 33 2000 A mild Itô formula for SPDEs. Zbl 1423.35472 Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 32 2019 Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053 Röckner, Michael; Zhang, Tu-Sheng 32 1994 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2008 On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064 Albeverio, S.; Bogachev, V.; Röckner, M. 31 1999 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086 Liu, Wei; Röckner, Michael; da Silva, José Luís 31 2018 Non-monotone stochastic generalized porous media equations. Zbl 1151.76032 Röckner, Michael; Wang, Feng-Yu 31 2008 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164 Marinelli, Carlo; Röckner, Michael 30 2014 Differential geometry of Poisson spaces. Zbl 0866.58011 Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael 30 1996 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. 29 2016 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 29 2019 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 29 2014 Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Zbl 0996.58023 Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu 28 2001 Large deviations for stochastic generalized porous media equations. Zbl 1155.60313 Röckner, Michael; Wang, Feng-Yu; Wu, Liming 28 2006 Weak solutions to stochastic porous media equations. Zbl 1049.60092 Da Prato, Giuseppe; Röckner, Michael 28 2004 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 27 2006 Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417 Röckner, Michael; Zhang, Xicheng 27 2009 Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039 Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W. 26 2007 Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033 Lescot, Paul; Röckner, Michael 26 2004 Construction of diffusions on configuration spaces. Zbl 0968.58028 Ma, Zhi-Ming; Röckner, Michael 25 2000 On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 25 2011 Elliptic regularity and essential self-adjointness of Dirichlet operators on \(\mathbb{R}^n\). Zbl 0901.35017 Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael 25 1997 Stochastic analysis on configuration spaces: Basic ideas and recent results. Zbl 1037.58026 Röckner, Michael 24 1998 Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355 Hinz, Michael; Röckner, Michael; Teplyaev, Alexander 24 2013 Markov processes associated with semi-Dirichlet forms. Zbl 0834.60086 Ma, Zhi-Ming; Overbeck, Ludger; Röckner, Michael 24 1995 Markov processes associated with positivity preserving coercive forms. Zbl 0828.31005 Ma, Zhi-Ming; Röckner, Michael 24 1995 Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states. Zbl 0880.60098 Albeverio, Sergio; Kondratiev, Yuri G.; Röcker, Michael 24 1997 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091 Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 23 2015 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077 Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 23 2016 Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 23 2017 Tightness of general \(C_{1,p}\) capacities on Banach space. Zbl 0757.60058 Röckner, Michael; Schmuland, Byron 23 1992 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063 Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 22 2010 Averaging principle and normal deviations for multiscale stochastic systems. Zbl 1468.34089 Röckner, Michael; Xie, Longjie 22 2021 On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 22 2012 Rademacher’s theorem on configuration spaces and applications. Zbl 0960.58023 Röckner, Michael; Schied, Alexander 21 1999 On a random scaled porous media equation. Zbl 1238.60070 Barbu, Viorel; Röckner, Michael 21 2011 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. 21 2009 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053 Barbu, Viorel; Röckner, Michael; Zhang, Deng 20 2018 Large deviation principles for the stochastic quasi-geostrophic equations. Zbl 1291.60133 Liu, Wei; Röckner, Michael; Zhu, Xiang-Chan 20 2013 Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 20 2015 Quasi-regular Dirichlet forms: Examples and counterexamples. Zbl 0827.31006 Röckner, Michael; Schmuland, Byron 20 1995 Regularity of invariant measures: The case of non-constant diffusion part. Zbl 0929.60039 Bogachev, V. I.; Krylov, N.; Röckner, M. 20 1996 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 20 2006 Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces. Zbl 1107.31006 Beznea, Lucian; Boboc, Nicu; Röckner, Michael 20 2006 Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Zbl 1225.60108 Marinelli, Carlo; Roeckner, Michael 20 2010 Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047 Driver, Bruce K.; Röckner, Michaël 20 1992 SDEs with critical time dependent drifts: weak solutions. Zbl 07634411 Röckner, Michael; Zhao, Guohuan 7 2023 Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients. Zbl 1516.60039 Liu, Wei; Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 4 2023 Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients. Zbl 1521.60031 Röckner, Michael; Xie, Longjie; Yang, Li 4 2023 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation. Zbl 1514.35436 Barbu, Viorel; Roeckner, Michael 2 2023 Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. Zbl 1514.60071 Barbu, Viorel; Röckner, Michael 2 2023 Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus. Zbl 1515.81097 Albeverio, Sergio; Kawabi, Hiroshi; Mihalache, Stefan-Radu; Röckner, Michael 2 2023 Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations. Zbl 1510.35088 Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 2 2023 Nonlinear Fokker-Planck equations with time-dependent coefficients. Zbl 1511.60094 Barbu, Viorel; Röckner, Michael 1 2023 Correction to: “Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs”. Zbl 1515.60245 Barbu, Viorel; Röckner, Michael 1 2023 Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations. Zbl 1528.60068 Röckner, Michael; Xie, Longjie; Yang, Li 1 2023 Linearization of nonlinear Fokker-Planck equations and applications. Zbl 1486.60104 Ren, Panpan; Röckner, Michael; Wang, Feng-Yu 3 2022 The invariance principle for nonlinear Fokker-Planck equations. Zbl 1490.60199 Barbu, Viorel; Röckner, Michael 1 2022 Applications of Zvonkin’s transform to stationary Kolmogorov equations. Zbl 1506.35056 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 1 2022 Well-posedness of distribution dependent SDEs with singular drifts. Zbl 1480.60171 Röckner, Michael; Zhang, Xicheng 48 2021 Averaging principle and normal deviations for multiscale stochastic systems. Zbl 1468.34089 Röckner, Michael; Xie, Longjie 22 2021 Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Zbl 1491.60088 Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 19 2021 Diffusion approximation for fully coupled stochastic differential equations. Zbl 1487.60117 Röckner, Michael; Xie, Longjie 18 2021 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415 Barbu, Viorel; Röckner, Michael 17 2021 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107 Barbu, Viorel; Röckner, Michael 11 2021 On the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations. Zbl 1474.60185 Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 10 2021 Upper envelopes of families of Feller semigroups and viscosity solutions to a class of nonlinear Cauchy problems. Zbl 1507.47109 Nendel, Max; Röckner, Michael 7 2021 Convergent numerical approximation of the stochastic total variation flow. Zbl 1468.60075 Baňas, Ľubomír; Röckner, Michael; Wilke, André 7 2021 Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Zbl 1478.35065 Lunardi, Alessandra; Röckner, Michael 5 2021 Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Zbl 1460.35345 Ha, Seung-Yeal; Jung, Jinwook; Röckner, Michael 5 2021 Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Zbl 1469.35227 Liu, Wei; Röckner, Michael; Luís da Silva, José 5 2021 Euler scheme for density dependent stochastic differential equations. Zbl 1455.65016 Hao, Zimo; Röckner, Michael; Zhang, Xicheng 5 2021 Conservative stochastic two-dimensional Cahn-Hilliard equation. Zbl 1476.60104 Röckner, Michael; Yang, Huanyu; Zhu, Rongchan 3 2021 A Markov process for an infinite interacting particle system in the continuum. Zbl 1479.60154 Kozitsky, Yuri; Röckner, Michael 2 2021 Continuity equation in llogl for the 2D Euler equations under the enstrophy measure. Zbl 1476.35186 Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 1 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 60 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 40 2020 Stochastic heat equations with values in a manifold via Dirichlet forms. Zbl 1445.60048 Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan 8 2020 Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Zbl 1469.60196 Röckner, Michael; Xie, Longjie; Zhang, Xicheng 8 2020 Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022 Barbu, Viorel; Röckner, Michael; Zhang, Deng 6 2020 Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Zbl 1470.60181 Gordina, Maria; Röckner, Michael; Teplyaev, Alexander 2 2020 A natural extension of Markov processes and applications to singular SDEs. Zbl 1465.60056 Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 1 2020 Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions. Zbl 1447.60118 Munteanu, Ionuţ; Röckner, Michael 1 2020 A mild Itô formula for SPDEs. Zbl 1423.35472 Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 32 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 29 2019 Scattering for stochastic nonlinear Schrödinger equations. Zbl 1416.35239 Herr, Sebastian; Röckner, Michael; Zhang, Deng 14 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. 10 2019 A new approach to the existence of invariant measures for Markovian semigroups. Zbl 1421.37010 Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 4 2019 A remark on global solutions to random 3D vorticity equations for small initial data. Zbl 1420.60087 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 3 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. 3 2019 Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074 Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 2 2019 On the superposition principle for Fokker-Planck-Kolmogorov equations. Zbl 1433.35407 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 2 2019 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091 Barbu, Viorel; Röckner, Michael 37 2018 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086 Liu, Wei; Röckner, Michael; da Silva, José Luís 31 2018 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053 Barbu, Viorel; Röckner, Michael; Zhang, Deng 20 2018 The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 8 2018 Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Zbl 1391.60189 Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 7 2018 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051 Barbu, Viorel; Röckner, Michael 5 2018 Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281 Munteanu, Ionuţ; Röckner, Michael 4 2018 Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. Zbl 1401.35145 Grigor’yan, Alexander; Ouyang, Shunxiang; Röckner, Michael 2 2018 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115 Barbu, Viorel; Röckner, Michael 2 2018 Stochastic heat equations with values in a Riemannian manifold. Zbl 1391.60160 Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan 2 2018 Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 23 2017 Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations. Zbl 1360.60123 Gess, Benjamin; Röckner, Michael 14 2017 The stochastic logarithmic Schrödinger equation. Zbl 1360.60119 Barbu, Viorel; Röckner, Michael; Zhang, Deng 13 2017 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088 Barbu, Viorel; Röckner, Michael; Zhang, Deng 12 2017 Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 12 2017 Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094 Barbu, Viorel; Röckner, Michael 9 2017 Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Zbl 1377.35297 Röckner, Michael; Russo, Francesco 5 2017 A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095 Barbu, Viorel; Röckner, Michael 5 2017 Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635 Barbu, Viorel; Röckner, Michael; Russo, Francesco 4 2017 Quantum fields. Zbl 1524.81050 Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W. 1 2017 Stochastic porous media equations. Zbl 1355.60004 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 38 2016 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118 Barbu, Viorel; Röckner, Michael; Zhang, Deng 36 2016 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064 Marinelli, Carlo; Röckner, Michael 34 2016 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. 29 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077 Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 23 2016 Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results. Zbl 1364.31012 Röckner, Michael; Shin, Jiyong; Trutnau, Gerald 7 2016 Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Zbl 1348.60117 Ouyang, Shun-Xiang; Röckner, Michael 6 2016 Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Zbl 1336.60117 Barbu, Viorel; Röckner, Michael 3 2016 Stochastic partial differential equations: an introduction. Zbl 1361.60002 Liu, Wei; Röckner, Michael 217 2015 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002 Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 148 2015 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122 Barbu, Viorel; Röckner, Michael 38 2015 A Milstein scheme for SPDEs. Zbl 1318.60072 Jentzen, Arnulf; Röckner, Michael 35 2015 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091 Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 23 2015 Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 20 2015 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047 Barbu, Viorel; Röckner, Michael; Russo, Francesco 14 2015 Singular-degenerate multivalued stochastic fast diffusion equations. Zbl 1330.60080 Gess, Benjamin; Röckner, Michael 13 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. 11 2015 Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 10 2015 Quasi regular Dirichlet forms and the stochastic quantization problem. Zbl 1336.31022 Albeverio, Sergio; Ma, Zhi-Ming; Röckner, Michael 10 2015 Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Zbl 1322.60122 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 9 2015 On the uniqueness of solutions to continuity equations. Zbl 1333.35312 Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. 8 2015 BV functions in a Gelfand triple for differentiable measure and its applications. Zbl 1348.60079 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 6 2015 On the existence of the dual right Markov process and applications. Zbl 1317.60094 Beznea, Lucian; Röckner, Michael 4 2015 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 38 2014 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164 Marinelli, Carlo; Röckner, Michael 30 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 29 2014 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015 Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 2014 On continuity equations in infinite dimensions with non-Gaussian reference measure. Zbl 1317.60083 Kolesnikov, Alexander V.; Röckner, Michael 7 2014 On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073 Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 3 2014 A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 3 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. 1 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. 1 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. 66 2013 Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046 Liu, Wei; Röckner, Michael 54 2013 ...and 252 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,460 Authors 224 Röckner, Michael 96 Wang, Feng-Yu 79 Albeverio, Sergio A. 77 Bogachev, Vladimir Igorevich 72 Kondrat’yev, Yuriĭ Grygorovych 62 Shaposhnikov, Stanislav V. 60 Barbu, Viorel 53 Da Prato, Giuseppe 53 Zhang, Tusheng S. 44 Flandoli, Franco 43 Liu, Wei 38 Zhang, Xicheng 38 Zhu, RongChan 33 Zhai, Jianliang 32 Zhu, Xiang-Chan 30 Chen, Zhen-Qing 28 Gess, Benjamin 28 Kozitsky, Yuri Vasil’evich 28 Wang, Bixiang 27 Beznea, Lucian 27 Huang, Xing 27 Jentzen, Arnulf 25 Brzeźniak, Zdzisław 25 Grothaus, Martin 25 Luo, Dejun 24 Daletskii, Alexei 24 Sun, Wei 23 Xie, Longjie 23 Yuan, Chenggui 22 Scarpa, Luca 21 Kutoviy, Oleksandr V. 20 Mohan, Manil Thankamani 19 Lytvynov, Eugene W. 19 Marinelli, Carlo 19 Stannat, Wilhelm 18 Kuwae, Kazuhiro 18 Russo, Francesco 18 Wu, Jianglun 18 Xie, Yingchao 17 Duan, Jinqiao 17 Hinz, Michael 17 Ma, Zhi-Ming 17 Priola, Enrico 16 Finkelshteĭn, Dmitriĭ Leonidovich 16 Hofmanová, Martina 16 Li, Shihu 16 Pasurek, Tatiana 16 Sun, Xiaobin 16 Xu, Lihu 15 Dong, Zhao 15 Gao, Hongjun 15 Lorenzi, Luca 15 Lunardi, Alessandra 15 Wu, Liming 15 Zhang, Deng 14 Bao, Jianhai 14 Fukushima, Masatoshi 14 Guillin, Arnaud 14 Wang, Jian 14 Wang, Ran 14 Wei, Jinlong 13 Cattiaux, Patrick 13 Deugoue, Gabriel 13 Lv, Guangying 13 Osada, Hirofumi 13 Ren, Panpan 13 Schilling, René Leander 13 Trutnau, Gerald 13 Yi, Yingfei 12 Caraballo Garrido, Tomás 12 Ciotir, Ioana 12 Hong, Wei 12 Tachim Medjo, Theodore 12 Tambue, Antoine 12 Teplyaev, Alexander 12 Yan, Litan 12 Zhang, Shaoqin 11 Debussche, Arnaud 11 Gubinelli, Massimiliano 11 Hairer, Martin 11 Larsson, Stig 11 Liu, Zhenxin 11 Rebenko, Alexei L. 11 Salins, Michael 11 Tappe, Stefan 11 Tölle, Jonas M. 11 Wang, Renhai 11 Zimmermann, Aleksandra 10 Angiuli, Luciana 10 Deng, Changsong 10 Gu, Anhui 10 Hong, Jialin 10 Kühn, Christian 10 Proske, Frank Norbert 10 Temam, Roger Meyer 10 Vallet, Guy 10 Zambotti, Lorenzo 10 Zegarlinski, Boguslaw 9 Addona, Davide 9 Ambrosio, Luigi ...and 2,360 more Authors all top 5 Cited in 329 Serials 175 Journal of Functional Analysis 155 Stochastic Processes and their Applications 136 Journal of Differential Equations 119 Potential Analysis 92 The Annals of Probability 89 Journal of Mathematical Analysis and Applications 79 Stochastic and Partial Differential Equations. Analysis and Computations 73 Infinite Dimensional Analysis, Quantum Probability and Related Topics 69 Probability Theory and Related Fields 66 Stochastics and Dynamics 64 Journal of Evolution Equations 49 Stochastic Analysis and Applications 47 Journal of Mathematical Physics 47 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 46 Journal of Theoretical Probability 46 Electronic Journal of Probability 44 Discrete and Continuous Dynamical Systems. Series B 41 Applied Mathematics and Optimization 41 SIAM Journal on Mathematical Analysis 41 Doklady Mathematics 40 The Annals of Applied Probability 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Communications in Mathematical Physics 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 Transactions of the American Mathematical Society 33 Statistics & Probability Letters 33 Discrete and Continuous Dynamical Systems 29 Stochastics 26 Science China. Mathematics 24 Journal of Dynamics and Differential Equations 24 NoDEA. Nonlinear Differential Equations and Applications 24 Communications on Pure and Applied Analysis 23 Acta Mathematica Sinica. English Series 20 Journal of Statistical Physics 20 Bernoulli 19 Proceedings of the American Mathematical Society 19 SIAM Journal on Control and Optimization 19 Journal of Mathematical Sciences (New York) 19 Bulletin des Sciences Mathématiques 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Discrete and Continuous Dynamical Systems. Series S 16 Physica D 14 Archive for Rational Mechanics and Analysis 14 Ukrainian Mathematical Journal 14 Applied Mathematics and Computation 14 Communications in Partial Differential Equations 14 Frontiers of Mathematics in China 13 Nonlinearity 13 Reviews in Mathematical Physics 13 Journal of Computational and Applied Mathematics 13 Journal of Scientific Computing 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Acta Applicandae Mathematicae 12 Acta Mathematicae Applicatae Sinica. English Series 11 Mathematische Nachrichten 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 ALEA. Latin American Journal of Probability and Mathematical Statistics 10 Mathematics of Computation 10 Mathematische Annalen 10 SIAM Journal on Numerical Analysis 10 Electronic Communications in Probability 9 Applicable Analysis 9 Communications on Pure and Applied Mathematics 9 Reports on Mathematical Physics 9 Theoretical and Mathematical Physics 9 Applied Numerical Mathematics 9 Applied Mathematics Letters 9 Numerical Algorithms 9 Journal of Nonlinear Science 9 Theory of Probability and Mathematical Statistics 9 Evolution Equations and Control Theory 8 Journal of Optimization Theory and Applications 8 Calculus of Variations and Partial Differential Equations 8 Journal of Mathematical Fluid Mechanics 8 Journal of the European Mathematical Society (JEMS) 8 Differentsial’nye Uravneniya i Protsessy Upravleniya 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 BIT 7 Osaka Journal of Mathematics 7 Semigroup Forum 7 Tôhoku Mathematical Journal. Second Series 7 Forum Mathematicum 7 Science in China. Series A 7 Random Operators and Stochastic Equations 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Advances in Difference Equations 7 Probability Surveys 6 Computers & Mathematics with Applications 6 Mathematical Notes 6 Journal of Geometry and Physics 6 Theory of Probability and its Applications 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Inventiones Mathematicae 6 Journal of the Mathematical Society of Japan 6 Mathematische Zeitschrift 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Abstract and Applied Analysis 6 Fractional Calculus & Applied Analysis ...and 229 more Serials all top 5 Cited in 53 Fields 2,462 Probability theory and stochastic processes (60-XX) 1,439 Partial differential equations (35-XX) 407 Operator theory (47-XX) 278 Dynamical systems and ergodic theory (37-XX) 259 Numerical analysis (65-XX) 256 Statistical mechanics, structure of matter (82-XX) 240 Potential theory (31-XX) 236 Fluid mechanics (76-XX) 161 Functional analysis (46-XX) 151 Global analysis, analysis on manifolds (58-XX) 145 Ordinary differential equations (34-XX) 112 Calculus of variations and optimal control; optimization (49-XX) 111 Quantum theory (81-XX) 111 Systems theory; control (93-XX) 97 Measure and integration (28-XX) 83 Biology and other natural sciences (92-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Real functions (26-XX) 35 Statistics (62-XX) 35 Geophysics (86-XX) 30 Differential geometry (53-XX) 24 Integral equations (45-XX) 24 Mechanics of particles and systems (70-XX) 17 Functions of a complex variable (30-XX) 17 Difference and functional equations (39-XX) 16 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Mechanics of deformable solids (74-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Information and communication theory, circuits (94-XX) 13 Operations research, mathematical programming (90-XX) 11 Computer science (68-XX) 9 Combinatorics (05-XX) 9 Integral transforms, operational calculus (44-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Optics, electromagnetic theory (78-XX) 6 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.