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: 427 Publications since 1983, including 10 Books and 31 Additional arXiv Preprints 9 Contributions as Editor Biographic References: 1 Publication Co-Authors: 144 Co-Authors with 417 Joint Publications 4,169 Co-Co-Authors all top 5 Co-Authors 18 single-authored 79 Albeverio, Sergio A. 71 Bogachev, Vladimir Igorevich 50 Kondrat’yev, Yuriĭ Grygorovych 47 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 13 Zhang, Xicheng 12 Zhang, Deng 10 Krylov, Nicolaĭ Vladimirovich 9 Liu, Wei 8 Kozitsky, Yuri Vasil’evich 7 Flandoli, Franco 7 Sobol, Zeev 6 Hao, Zimo 6 Lytvynov, Yevgen Vil’yamovych 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 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 Federico, Salvatore 2 Ferrari, Giorgio 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 Riedel, Frank 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 Fuhrman, Marco ...and 44 more Co-Authors all top 5 Serials 43 Journal of Functional Analysis 18 Journal of Differential Equations 17 Probability Theory and Related Fields 17 Doklady Mathematics 17 Infinite Dimensional Analysis, Quantum Probability and Related Topics 16 The Annals of Probability 11 Potential Analysis 11 Stochastic and Partial Differential Equations. Analysis and Computations 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 7 SIAM Journal on Mathematical Analysis 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Reviews in Mathematical Physics 6 Communications in Partial Differential Equations 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 5 Lecture Notes in Mathematics 4 Applied Mathematics and Optimization 4 Osaka Journal of Mathematics 4 Electronic Journal of Probability 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 3 Bernoulli 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 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 Vietnam Journal of Mathematics 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 374 Probability theory and stochastic processes (60-XX) 174 Partial differential equations (35-XX) 99 Operator theory (47-XX) 85 Potential theory (31-XX) 54 Statistical mechanics, structure of matter (82-XX) 51 Global analysis, analysis on manifolds (58-XX) 27 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) 8 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 358 Publications have been cited 7,741 times in 3,471 Documents Cited by ▼ Year ▼ A concise course on stochastic partial differential equations. Zbl 1123.60001 Prévôt, Claudia; Röckner, Michael 536 2007 Introduction to the theory of (non-symmetric) Dirichlet forms. Zbl 0826.31001 Ma, Zhi-Ming; Röckner, Michael 448 1992 Stochastic partial differential equations: an introduction. Zbl 1361.60002 Liu, Wei; Röckner, Michael 259 2015 Strong solutions of stochastic equations with singular time dependent drift. Zbl 1072.60050 Krylov, N. V.; Röckner, M. 223 2005 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002 Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 174 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. 133 2001 Analysis and geometry on configuration spaces. Zbl 0914.58028 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 128 1998 SPDE in Hilbert space with locally monotone coefficients. Zbl 1236.60064 Liu, Wei; Röckner, Michael 116 2010 Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups. Zbl 1009.47028 Röckner, Michael; Wang, Feng-Yu 105 2001 Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055 Albeverio, S.; Röckner, M. 99 1991 Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065 Cerrai, Sandra; Röckner, Michael 93 2004 Random attractors for a class of stochastic partial differential equations driven by general additive noise. Zbl 1228.35062 Gess, Benjamin; Liu, Wei; Röckner, Michael 92 2011 Stochastic generalized porous media and fast diffusion equations. Zbl 1129.60059 Ren, Jiagang; Röckner, Michael; Wang, Feng-Yu 90 2007 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057 Röckner, Michael; Zhang, Tusheng 90 2007 Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 84 1998 Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036 Albeverio, Sergio; Röckner, Michael 73 1990 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 70 2020 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. 69 2013 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 65 2009 Elliptic and parabolic equations for measures. Zbl 1194.35481 Bogachev, V. I.; Krylov, N. V.; Röckner, M. 64 2009 Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046 Liu, Wei; Röckner, Michael 61 2013 Harnack and functional inequalities for generalized Mehler semigroups. Zbl 1059.47051 Röckner, Michael; Wang, Feng-Yu 60 2003 Well-posedness of distribution dependent SDEs with singular drifts. Zbl 1480.60171 Röckner, Michael; Zhang, Xicheng 60 2021 Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093 Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng 55 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 54 2006 Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118 Röckner, Michael; Zhang, Xicheng 51 2009 Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053 Röckner, Michael; Wang, Feng-Yu 49 2010 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 48 2020 Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094 Albeverio, Sergio; Röckner, Michael 48 1989 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 48 2009 Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Zbl 1062.47044 Röckner, M.; Wang, Feng-Yu 47 2003 Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Zbl 1186.60060 Marinelli, Carlo; Prévôt, Claudia; Röckner, Michael 46 2010 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 46 2014 Regularity of invariant measures on finite and infinite dimensional spaces and applications. Zbl 0840.60069 Bogachev, Vladimir I.; Röckner, Michael 44 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 44 2011 Generalized Mehler semigroups and applications. Zbl 0849.60066 Bogachev, Vladimir I.; Röckner, Michael; Schmuland, Byron 43 1996 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047 Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 43 2009 A generalization of Khasminskij’s theorem on the existence of invariant measures for locally integrable drifts. Zbl 1004.60061 Bogachev, V.; Röckner, M. 42 2000 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118 Barbu, Viorel; Röckner, Michael; Zhang, Deng 42 2016 Stochastic porous media equations. Zbl 1355.60004 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 42 2016 Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Zbl 1055.58009 Bogachev, V. I.; Röckner, M.; Stannat, W. 42 2002 Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Zbl 1241.60030 Jentzen, Arnulf; Röckner, Michael 42 2012 Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028 Fuhrman, Marco; Röckner, Michael 42 2000 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091 Barbu, Viorel; Röckner, Michael 41 2018 Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029 Da Prato, Giuseppe; Röckner, Michael 41 2002 Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028 Röckner, Michael; Zhang, Tu-Sheng 39 1992 Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002 Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael 39 1994 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122 Barbu, Viorel; Röckner, Michael 39 2015 Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060 Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng 39 2009 Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032 Röckner, Michael; Zhang, Tusheng 39 2012 On parabolic equations for measures. Zbl 1323.35058 Bogachev, V. I.; Da Prato, G.; Röckner, M. 38 2008 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086 Liu, Wei; Röckner, Michael; da Silva, José Luís 37 2018 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 37 2008 A Milstein scheme for SPDEs. Zbl 1318.60072 Jentzen, Arnulf; Röckner, Michael 37 2015 Non-monotone stochastic generalized porous media equations. Zbl 1151.76032 Röckner, Michael; Wang, Feng-Yu 35 2008 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064 Marinelli, Carlo; Röckner, Michael 35 2016 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202 Barbu, Viorel; Röckner, Michael 35 2013 Dirichlet operators via stochastic analysis. Zbl 0820.60042 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 35 1995 A mild Itô formula for SPDEs. Zbl 1423.35472 Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 35 2019 Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053 Röckner, Michael; Zhang, Tu-Sheng 34 1994 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 34 2014 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164 Marinelli, Carlo; Röckner, Michael 33 2014 Differential geometry of Poisson spaces. Zbl 0866.58011 Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael 32 1996 On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064 Albeverio, S.; Bogachev, V.; Röckner, M. 32 1999 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. 31 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 31 2019 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 30 2006 Weak solutions to stochastic porous media equations. Zbl 1049.60092 Da Prato, Giuseppe; Röckner, Michael 29 2004 Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417 Röckner, Michael; Zhang, Xicheng 29 2009 Large deviations for stochastic generalized porous media equations. Zbl 1155.60313 Röckner, Michael; Wang, Feng-Yu; Wu, Liming 28 2006 Construction of diffusions on configuration spaces. Zbl 0968.58028 Ma, Zhi-Ming; Röckner, Michael 28 2000 Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Zbl 0996.58023 Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu 28 2001 Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Zbl 1491.60088 Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 27 2021 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 Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355 Hinz, Michael; Röckner, Michael; Teplyaev, Alexander 26 2013 On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 26 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 26 1997 Stochastic analysis on configuration spaces: Basic ideas and recent results. Zbl 1037.58026 Röckner, Michael 25 1998 Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 24 2017 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091 Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 24 2015 Markov processes associated with positivity preserving coercive forms. Zbl 0828.31005 Ma, Zhi-Ming; Röckner, Michael 24 1995 Markov processes associated with semi-Dirichlet forms. Zbl 0834.60086 Ma, Zhi-Ming; Overbeck, Ludger; 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 On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 24 2012 Tightness of general \(C_{1,p}\) capacities on Banach space. Zbl 0757.60058 Röckner, Michael; Schmuland, Byron 23 1992 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 Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Zbl 1225.60108 Marinelli, Carlo; Roeckner, Michael 23 2010 Averaging principle and normal deviations for multiscale stochastic systems. Zbl 1468.34089 Röckner, Michael; Xie, Longjie 23 2021 On a random scaled porous media equation. Zbl 1238.60070 Barbu, Viorel; Röckner, Michael 23 2011 Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces. Zbl 1107.31006 Beznea, Lucian; Boboc, Nicu; Röckner, Michael 22 2006 Rademacher’s theorem on configuration spaces and applications. Zbl 0960.58023 Röckner, Michael; Schied, Alexander 22 1999 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063 Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 22 2010 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415 Barbu, Viorel; Röckner, Michael 22 2021 Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047 Driver, Bruce K.; Röckner, Michaël 21 1992 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 Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112 Röckner, Michael; Zhang, Xicheng 21 2010 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053 Barbu, Viorel; Röckner, Michael; Zhang, Deng 21 2018 Large deviation principles for the stochastic quasi-geostrophic equations. Zbl 1291.60133 Liu, Wei; Röckner, Michael; Zhu, Xiang-Chan 21 2013 Quasi-regular Dirichlet forms: Examples and counterexamples. Zbl 0827.31006 Röckner, Michael; Schmuland, Byron 21 1995 SDEs with critical time dependent drifts: weak solutions. Zbl 1540.60125 Röckner, Michael; Zhao, Guohuan 9 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 5 2023 Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. Zbl 1514.60071 Barbu, Viorel; Röckner, Michael 5 2023 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation. Zbl 1514.35436 Barbu, Viorel; Roeckner, Michael 5 2023 Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients. Zbl 1521.60031 Röckner, Michael; Xie, Longjie; Yang, Li 5 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. 3 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 Nonlinear Fokker-Planck equations with time-dependent coefficients. Zbl 1511.60094 Barbu, Viorel; Röckner, Michael 2 2023 Multi solitary waves to stochastic nonlinear Schrödinger equations. Zbl 1517.35090 Röckner, Michael; Su, Yiming; Zhang, Deng 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 Kolmogorov problems on equations for Stationary and transition probabilities of diffusion processes. Zbl 1534.35396 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 1 2023 Linearization of nonlinear Fokker-Planck equations and applications. Zbl 1486.60104 Ren, Panpan; Röckner, Michael; Wang, Feng-Yu 6 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 60 2021 Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Zbl 1491.60088 Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 27 2021 Averaging principle and normal deviations for multiscale stochastic systems. Zbl 1468.34089 Röckner, Michael; Xie, Longjie 23 2021 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415 Barbu, Viorel; Röckner, Michael 22 2021 Diffusion approximation for fully coupled stochastic differential equations. Zbl 1487.60117 Röckner, Michael; Xie, Longjie 21 2021 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107 Barbu, Viorel; Röckner, Michael 15 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. 14 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 11 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 9 2021 Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Zbl 1478.35065 Lunardi, Alessandra; Röckner, Michael 8 2021 Euler scheme for density dependent stochastic differential equations. Zbl 1455.65016 Hao, Zimo; Röckner, Michael; Zhang, Xicheng 7 2021 Convergent numerical approximation of the stochastic total variation flow. Zbl 1468.60075 Baňas, Ľubomír; Röckner, Michael; Wilke, André 7 2021 Conservative stochastic two-dimensional Cahn-Hilliard equation. Zbl 1476.60104 Röckner, Michael; Yang, Huanyu; Zhu, Rongchan 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 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 The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Lévy noise in Hilbert spaces. Zbl 1475.60143 Majid, Narges Rezvani; Röckner, Michael 1 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 70 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 48 2020 Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Zbl 1469.60196 Röckner, Michael; Xie, Longjie; Zhang, Xicheng 12 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 Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022 Barbu, Viorel; Röckner, Michael; Zhang, Deng 7 2020 A natural extension of Markov processes and applications to singular SDEs. Zbl 1465.60056 Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 3 2020 Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions. Zbl 1447.60118 Munteanu, Ionuţ; Röckner, Michael 2 2020 Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Zbl 1470.60181 Gordina, Maria; Röckner, Michael; Teplyaev, Alexander 2 2020 A mild Itô formula for SPDEs. Zbl 1423.35472 Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 35 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 31 2019 Scattering for stochastic nonlinear Schrödinger equations. Zbl 1416.35239 Herr, Sebastian; Röckner, Michael; Zhang, Deng 16 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. 13 2019 A new approach to the existence of invariant measures for Markovian semigroups. Zbl 1421.37010 Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 5 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 41 2018 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086 Liu, Wei; Röckner, Michael; da Silva, José Luís 37 2018 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053 Barbu, Viorel; Röckner, Michael; Zhang, Deng 21 2018 The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 10 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 6 2018 Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281 Munteanu, Ionuţ; Röckner, Michael 5 2018 Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. Zbl 1401.35145 Grigor’yan, Alexander; Ouyang, Shunxiang; Röckner, Michael 3 2018 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115 Barbu, Viorel; Röckner, Michael 3 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 24 2017 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088 Barbu, Viorel; Röckner, Michael; Zhang, Deng 14 2017 The stochastic logarithmic Schrödinger equation. Zbl 1360.60119 Barbu, Viorel; Röckner, Michael; Zhang, Deng 14 2017 Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations. Zbl 1360.60123 Gess, Benjamin; Röckner, Michael 14 2017 Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 14 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 nonlinear Schrödinger equations. Zbl 1336.60118 Barbu, Viorel; Röckner, Michael; Zhang, Deng 42 2016 Stochastic porous media equations. Zbl 1355.60004 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 42 2016 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064 Marinelli, Carlo; Röckner, Michael 35 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. 31 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 4 2016 Stochastic partial differential equations: an introduction. Zbl 1361.60002 Liu, Wei; Röckner, Michael 259 2015 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002 Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 174 2015 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122 Barbu, Viorel; Röckner, Michael 39 2015 A Milstein scheme for SPDEs. Zbl 1318.60072 Jentzen, Arnulf; Röckner, Michael 37 2015 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091 Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 24 2015 Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 21 2015 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047 Barbu, Viorel; Röckner, Michael; Russo, Francesco 16 2015 Singular-degenerate multivalued stochastic fast diffusion equations. Zbl 1330.60080 Gess, Benjamin; Röckner, Michael 14 2015 An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099 Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V. 12 2015 Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242 Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 12 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 10 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 46 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 34 2014 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164 Marinelli, Carlo; Röckner, Michael 33 2014 On continuity equations in infinite dimensions with non-Gaussian reference measure. Zbl 1317.60083 Kolesnikov, Alexander V.; Röckner, Michael 9 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 parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073 Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 4 2014 A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079 Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 3 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 ...and 258 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,688 Authors 232 Röckner, Michael 100 Wang, Feng-Yu 83 Albeverio, Sergio A. 78 Bogachev, Vladimir Igorevich 72 Kondrat’yev, Yuriĭ Grygorovych 64 Shaposhnikov, Stanislav V. 63 Barbu, Viorel 54 Zhang, Tusheng S. 53 Da Prato, Giuseppe 45 Liu, Wei 44 Flandoli, Franco 41 Zhang, Xicheng 41 Zhu, RongChan 35 Zhu, Xiang-Chan 33 Zhai, Jianliang 32 Chen, Zhen-Qing 30 Beznea, Lucian 30 Jentzen, Arnulf 29 Gess, Benjamin 29 Huang, Xing 28 Kozitsky, Yuri Vasil’evich 28 Wang, Bixiang 27 Grothaus, Martin 26 Luo, Dejun 26 Mohan, Manil Thankamani 25 Brzeźniak, Zdzisław 25 Daletskii, Alexei 24 Scarpa, Luca 24 Sun, Wei 23 Xie, Longjie 23 Yuan, Chenggui 21 Kutoviy, Oleksandr V. 21 Stannat, Wilhelm 21 Xie, Yingchao 20 Duan, Jinqiao 20 Marinelli, Carlo 19 Hinz, Michael 19 Lytvynov, Yevgen Vil’yamovych 19 Priola, Enrico 19 Russo, Francesco 19 Sun, Xiaobin 18 Dong, Zhao 18 Kuwae, Kazuhiro 18 Ma, Zhi-Ming 18 Wu, Jianglun 17 Hofmanová, Martina 17 Li, Shihu 16 Finkelshteĭn, Dmitriĭ Leonidovich 16 Osada, Hirofumi 16 Pasurek, Tatiana 16 Ren, Panpan 16 Wang, Jian 16 Wu, Liming 16 Xu, Lihu 16 Zhang, Deng 15 Bao, Jianhai 15 Gao, Hongjun 15 Guillin, Arnaud 15 Lorenzi, Luca 15 Lunardi, Alessandra 14 Ciotir, Ioana 14 Deugoue, Gabriel 14 Fukushima, Masatoshi 14 Schilling, René Leander 14 Tambue, Antoine 14 Teplyaev, Alexander 14 Wang, Ran 14 Wei, Jinlong 13 Caraballo Garrido, Tomás 13 Cattiaux, Patrick 13 Hong, Jialin 13 Hong, Wei 13 Lv, Guangying 13 Tachim Medjo, Theodore 13 Tölle, Jonas M. 13 Trutnau, Gerald 13 Wang, Renhai 13 Yan, Litan 13 Yi, Yingfei 13 Zhang, Shaoqin 12 Debussche, Arnaud 12 Hairer, Martin 12 Larsson, Stig 12 Zambotti, Lorenzo 11 Deng, Changsong 11 Ferrari, Simone 11 Gu, Anhui 11 Gubinelli, Massimiliano 11 Hausenblas, Erika 11 Hutzenthaler, Martin 11 Klimsiak, Tomasz 11 Li, Dingshi 11 Liu, Zhenxin 11 Proske, Frank Norbert 11 Rebenko, Alexei L. 11 Salins, Michael 11 Tang, Hao 11 Tappe, Stefan 11 Temam, Roger Meyer 11 Vallet, Guy ...and 2,588 more Authors all top 5 Cited in 361 Serials 190 Journal of Functional Analysis 174 Stochastic Processes and their Applications 143 Journal of Differential Equations 124 Potential Analysis 99 Journal of Mathematical Analysis and Applications 97 Stochastic and Partial Differential Equations. Analysis and Computations 92 The Annals of Probability 76 Infinite Dimensional Analysis, Quantum Probability and Related Topics 75 Probability Theory and Related Fields 68 Journal of Evolution Equations 68 Stochastics and Dynamics 55 Electronic Journal of Probability 52 Stochastic Analysis and Applications 52 Journal of Theoretical Probability 51 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 50 Journal of Mathematical Physics 48 Applied Mathematics and Optimization 48 The Annals of Applied Probability 48 SIAM Journal on Mathematical Analysis 46 Discrete and Continuous Dynamical Systems. Series B 42 Doklady Mathematics 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Statistics & Probability Letters 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Communications in Mathematical Physics 35 Discrete and Continuous Dynamical Systems 34 Transactions of the American Mathematical Society 31 Stochastics 26 NoDEA. Nonlinear Differential Equations and Applications 26 Science China. Mathematics 25 Journal of Dynamics and Differential Equations 25 Communications on Pure and Applied Analysis 24 Bernoulli 23 Acta Mathematica Sinica. English Series 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Journal of Statistical Physics 20 Proceedings of the American Mathematical Society 20 SIAM Journal on Control and Optimization 20 Bulletin des Sciences Mathématiques 20 Discrete and Continuous Dynamical Systems. Series S 19 Mathematical Methods in the Applied Sciences 19 Journal of Mathematical Sciences (New York) 17 Archive for Rational Mechanics and Analysis 17 Journal of Computational and Applied Mathematics 17 Physica D 15 Nonlinearity 15 Applied Mathematics and Computation 15 Mathematische Nachrichten 14 Ukrainian Mathematical Journal 14 Acta Applicandae Mathematicae 14 Communications in Partial Differential Equations 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Chaos 14 Frontiers of Mathematics in China 13 Reviews in Mathematical Physics 13 Mathematische Annalen 13 Journal of Scientific Computing 12 Communications on Pure and Applied Mathematics 12 Reports on Mathematical Physics 12 Acta Mathematicae Applicatae Sinica. English Series 12 Electronic Communications in Probability 11 Mathematics of Computation 11 SIAM Journal on Numerical Analysis 11 Applied Mathematics Letters 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 Journal of Mathematical Fluid Mechanics 9 Applicable Analysis 9 Theoretical and Mathematical Physics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Optimization Theory and Applications 9 Applied Numerical Mathematics 9 Numerical Algorithms 9 Journal of Nonlinear Science 9 Calculus of Variations and Partial Differential Equations 9 Theory of Probability and Mathematical Statistics 9 Journal of the European Mathematical Society (JEMS) 9 Evolution Equations and Control Theory 9 SIAM/ASA Journal on Uncertainty Quantification 8 BIT 8 Mathematische Zeitschrift 8 Differentsial’nye Uravneniya i Protsessy Upravleniya 8 Probability Surveys 7 Mathematical Notes 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Geometry and Physics 7 Theory of Probability and its Applications 7 Journal of the Mathematical Society of Japan 7 Osaka Journal of Mathematics 7 Semigroup Forum 7 Tôhoku Mathematical Journal. Second Series 7 Forum Mathematicum 7 Science in China. Series A 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Random Operators and Stochastic Equations 7 Fractional Calculus & Applied Analysis 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Advances in Difference Equations 7 Complex Analysis and Operator Theory 7 Communications in Mathematics and Statistics ...and 261 more Serials all top 5 Cited in 54 Fields 2,683 Probability theory and stochastic processes (60-XX) 1,593 Partial differential equations (35-XX) 452 Operator theory (47-XX) 312 Dynamical systems and ergodic theory (37-XX) 284 Numerical analysis (65-XX) 273 Statistical mechanics, structure of matter (82-XX) 260 Potential theory (31-XX) 258 Fluid mechanics (76-XX) 179 Functional analysis (46-XX) 167 Ordinary differential equations (34-XX) 164 Global analysis, analysis on manifolds (58-XX) 142 Calculus of variations and optimal control; optimization (49-XX) 131 Systems theory; control (93-XX) 126 Quantum theory (81-XX) 104 Measure and integration (28-XX) 93 Biology and other natural sciences (92-XX) 81 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Real functions (26-XX) 43 Statistics (62-XX) 37 Geophysics (86-XX) 36 Differential geometry (53-XX) 32 Integral equations (45-XX) 27 Mechanics of particles and systems (70-XX) 22 Functions of a complex variable (30-XX) 19 Mechanics of deformable solids (74-XX) 18 Difference and functional equations (39-XX) 17 Approximations and expansions (41-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Information and communication theory, circuits (94-XX) 10 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Integral transforms, operational calculus (44-XX) 7 Special functions (33-XX) 7 Optics, electromagnetic theory (78-XX) 6 Number theory (11-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-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) 1 General topology (54-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.