Edit Profile (opens in new tab) Barbu, Viorel Co-Author Distance Author ID: barbu.viorel Published as: Barbu, Viorel; Barbu, V. Further Spellings: Барбу Виорел Homepage: http://www.math.uaic.ro/~barbu/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 366 Publications since 1964, including 20 Books and 7 Additional arXiv Preprints 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 5 Reviews Co-Authors: 84 Co-Authors with 215 Joint Publications 2,695 Co-Co-Authors all top 5 Co-Authors 158 single-authored 48 Da Prato, Giuseppe 46 Röckner, Michael 14 Favini, Angelo 13 Tubaro, Luciano 12 Lasiecka, Irena 11 Pavel, Nicolae H. 8 Iannelli, Mimmo 8 Sritharan, Sivaguru S. 8 Zhang, Deng 7 Marinoschi, Gabriela 5 Bonaccorsi, Stefano 5 Rammaha, Mohammad A. 5 Triggiani, Roberto 4 Coca, Daniel 4 Colli, Pierluigi 4 Gilardi, Gianni 4 Russo, Francesco 4 Wang, Gengsheng 3 Aizicovici, Sergiu 3 Di Persio, Luca 3 Kunisch, Karl 3 Lefter, Cătălin-George 3 Precupanu, Th. 3 Tessitore, Gianmario 3 Tiba, Dan 3 Yan, Yue 2 Albeverio, Sergio A. 2 Aniţa, Sebastian 2 Bantaş, Gheorghe 2 Barbu, Tudor 2 Barron, Emmanuel Nicholas 2 Benazzoli, Chiara 2 Brzeźniak, Zdzisław 2 Corduneanu, Constantin 2 Debussche, Arnaud 2 Ferrario, Benedetta 2 Grujić, Zoran 2 Havârneanu, Teodor 2 Marinelli, Carlo 2 Neittaanmäki, Pekka J. 2 Niemistö, Antti 2 Rascanu, Aurel 2 Stojanović, Srđan Đ. 2 Tuffaha, Amjad M. 2 Vrabie, Ioan I. 1 Arnăutu, Viorel 1 Beznea, Lucian 1 Biga, Veronica 1 Blanchard, Philippe 1 Bogachev, Vladimir Igorevich 1 Bonnans, Joseph Frédéric 1 Capasso, Vincenzo 1 Cârjă, Ovidiu 1 Cătălin, Lefter 1 Cellina, Arrigo 1 Ciotir, Ioana 1 Cordoni, Francesco Giuseppe 1 da Silva, José Luís 1 Danaila, Ionut 1 Ene, H. 1 Friedman, Avner 1 Georghiu, N. 1 Gheorghiu, Nicolae 1 Grasselli, Maurizio 1 Grossman, Stanley I. 1 Guo, Yanqiu 1 Haimovici, Mendel 1 Hausenblas, Erika 1 Iesan, Dorin 1 Jensen, Reed 1 Korman, Philip L. 1 Martcheva, Maia 1 Miron, Radu 1 Moroșanu, Gheorghe 1 Munteanu, Ionut 1 Pascali, Dan D. 1 Popa, Constantin 1 Precupanu, Teodor 1 Ring, Wolfgang 1 Rocca, Elisabetta 1 Rodrigues, Sérgio S. 1 Romanelli, Silvia 1 Seidman, Thomas I. 1 Shirikyan, Armen R. 1 Sîrbu, Mihai 1 Toundykov, Daniel 1 Vârsan, Constantin 1 Zolésio, Jean-Paul all top 5 Serials 25 SIAM Journal on Control and Optimization 15 Journal of Mathematical Analysis and Applications 15 Applied Mathematics and Optimization 15 Journal of Differential Equations 12 Differential and Integral Equations 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Revue Roumaine de Mathématiques Pures et Appliquées 9 Numerical Functional Analysis and Optimization 9 Systems & Control Letters 8 Nonlinear Analysis. Theory, Methods & Applications 7 SIAM Journal on Mathematical Analysis 6 Indiana University Mathematics Journal 6 Stochastic Processes and their Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 5 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 5 Journal of Optimization Theory and Applications 4 The Annals of Probability 4 Control and Cybernetics 4 Journal of Functional Analysis 4 Ricerche di Matematica 4 Transactions of the American Mathematical Society 4 Advances in Differential Equations 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Automatica 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Communications in Partial Differential Equations 3 Nonlinear Analysis. Real World Applications 2 Communications in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Libertas Mathematica 2 Probability Theory and Related Fields 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bollettino della Unione Matematica Italiana. Series IV 2 SIAM Journal on Control 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Mathematics and its Applications (Dordrecht) 2 Libertas Mathematica. New Series 2 Research Notes in Mathematics (San Francisco) 2 Pure and Applied Functional Analysis 2 Springer Monographs in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Scientiarum Mathematicarum 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Funkcialaj Ekvacioj. Serio Internacia 1 IEEE Transactions on Automatic Control 1 Journal of the Faculty of Science. Section I A 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Semigroup Forum 1 Studii și Cercetări Matematice 1 Journal of Integral Equations 1 Memoriile Secțiilor Științifice. Seria IV 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 MCSS. Mathematics of Control, Signals, and Systems 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Journal of Nonlinear Science 1 Journal of Convex Analysis 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Scientiae Mathematicae Japonicae 1 Seminar on Fixed Point Theory Cluj-Napoca 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Carpathian Journal of Mathematics 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Mathematics and its Applications. East European Series 1 Mathematics in Science and Engineering 1 Pitman Research Notes in Mathematics Series 1 AIP Conference Proceedings 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Annals of the University of Bucharest. Mathematical Series 1 Mathematical Control and Related Fields 1 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 1 Mathematica 1 Evolution Equations and Control Theory 1 Progress in Nonlinear Differential Equations and Their Applications 1 Springer Undergraduate Mathematics Series ...and 2 more Serials all top 5 Fields 205 Partial differential equations (35-XX) 105 Probability theory and stochastic processes (60-XX) 104 Calculus of variations and optimal control; optimization (49-XX) 102 Operator theory (47-XX) 102 Systems theory; control (93-XX) 46 Fluid mechanics (76-XX) 38 Ordinary differential equations (34-XX) 16 Integral equations (45-XX) 12 Functional analysis (46-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Operations research, mathematical programming (90-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Classical thermodynamics, heat transfer (80-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 298 Publications have been cited 5,633 times in 3,800 Documents Cited by ▼ Year ▼ Nonlinear semigroups and differential equations in Banach spaces. Revised and enlarged translation of the Romanian ed. Zbl 0328.47035 Barbu, Viorel 625 1976 Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002 Barbu, Viorel 480 2010 Optimal control of variational inequalities. Zbl 0574.49005 Barbu, V. 289 1984 Analysis and control of nonlinear infinite dimensional systems. Zbl 0776.49005 Barbu, Viorel 222 1993 Almost periodic functions. With the collaboration of N. Gheorghiu and V. Barbu. Transl. from the Romanian by Gitta Berstein and Eugene Tomer. 2nd Engl. ed. Zbl 0672.42008 Corduneanu, C. 214 1989 Almost periodic functions. Zbl 0175.09101 Corduneanu, C.; Georghiu, N.; Barbu, V. 184 1968 Convexity and optimization in Banach spaces. 2nd rev. and extended ed. Transl. from the Romanian. Zbl 0594.49001 Barbu, V.; Precupanu, Th. 166 1986 Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001 Barbu, Viorel; Precupanu, Teodor 136 2012 Convexity and optimization on Banach spaces. Rev. and enl. translation. Zbl 0379.49010 Barbu, V.; Precupanu, Th. 129 1978 Optimal control of population dynamics. Zbl 0984.92022 Barbu, V.; Iannelli, M. 85 1999 Mathematical methods in optimization of differential systems. Zbl 0819.49002 Barbu, Viorel 81 1994 Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017 Barbu, Viorel; Triggiani, Roberto 77 2004 Exact controllability of the superlinear heat equation. Zbl 0964.93046 Barbu, V. 70 2000 Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001 Barbu, V.; Da Prato, G. 65 1983 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 Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 62 2006 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 60 2020 Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers. Zbl 1098.35025 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 58 2006 On nonlinear wave equations with degenerate damping and source terms. Zbl 1065.35193 Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A. 58 2005 Controllability of parabolic and Navier-Stokes equations. Zbl 1010.93054 Barbu, Viorel 56 2002 Stabilization of Navier-Stokes flows. Zbl 1213.76001 Barbu, Viorel 55 2011 Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011 Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario 49 2003 On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024 Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia 48 2001 Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016 Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad 47 2008 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727 Barbu, Viorel; Da Prato, Giuseppe 46 2007 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 46 2009 Existence of the energy-level weak solutions for a nonlinear fluid-structure interaction model. Zbl 1297.35234 Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad 45 2007 Periodic solutions to the nonlinear one-dimensional wave equation with \(x\)-dependent coefficients. Zbl 0880.35073 Barbu, V.; Pavel, N. H. 44 1997 Controllability of the heat equation with memory. Zbl 0990.93008 Barbu, V.; Iannelli, M. 43 2000 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 38 2014 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 A class of boundary problems for second order abstract differential equations. Zbl 0256.47052 Barbu, Viorel 37 1972 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091 Barbu, Viorel; Röckner, Michael 37 2018 The time optimal control of Navier-Stokes equations. Zbl 0898.49011 Barbu, Viorel 36 1997 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118 Barbu, Viorel; Röckner, Michael; Zhang, Deng 36 2016 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202 Barbu, Viorel; Röckner, Michael 34 2013 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2008 Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141 Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen 32 2011 Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475 Barbu, Viorel 31 2013 Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037 Barbu, Viorel 31 2003 Necessary conditions for distributed control problems governed by parabolic variational inequalities. Zbl 0474.49024 Barbu, Viorel 28 1981 Boundary control problems with convex cost criterion. Zbl 0428.49015 Barbu, Viorel 27 1980 Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1121.35082 Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A. 26 2007 A PDE variational approach to image denoising and restoration. Zbl 1169.35341 Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel 26 2009 The stochastic nonlinear damped wave equation. Zbl 1024.47025 Barbu, Viorel; Da Prato, Giuseppe 25 2002 Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100 Barbu, Viorel 25 2012 Optimal control of Navier-Stokes equations with periodic inputs. Zbl 0914.49009 Barbu, Viorel 24 1998 Existence for nonlinear Volterra equations in Hilbert spaces. Zbl 0462.45021 Barbu, Viorel 24 1979 Continuous perturbations of nonlinear \(m\)-accretive operators in Banach spaces. Zbl 0256.47053 Barbu, V. 23 1972 Nonlinear Volterra equations in a Hilbert space. Zbl 0322.45012 Barbu, Viorel 23 1975 Flow invariance preserving feedback controllers for the Navier-Stokes equation. Zbl 1073.93030 Barbu, V.; Sritharan, S. S. 22 2001 Internal stabilization of semilinear parabolic systems. Zbl 1030.35100 Barbu, V.; Wang, G. 22 2003 Null controllability of nonlinear convective heat equations. Zbl 0938.93008 Aniţa, Sebastian; Barbu, Viorel 21 2000 On a random scaled porous media equation. Zbl 1238.60070 Barbu, Viorel; Röckner, Michael 21 2011 Controllability and stabilization of parabolic equations. Zbl 1417.93005 Barbu, Viorel 21 2018 Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients. Zbl 0896.35075 Barbu, V.; Pavel, N. H. 21 1996 Navier-Stokes equation with hereditary viscosity. Zbl 1040.35056 Barbu, V.; Sritharan, S. S. 21 2003 Stochastic wave equations with dissipative damping. Zbl 1122.60056 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 20 2007 Local controllability of the phase field system. Zbl 1006.35013 Barbu, Viorel 20 2002 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053 Barbu, Viorel; Röckner, Michael; Zhang, Deng 20 2018 Determining the acoustic impedance in the 1-D wave equation via an optimal control problem. Zbl 0906.49009 Barbu, V.; Pavel, N. H. 19 1997 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 19 2009 Partial differential equations and boundary value problems. Transl. from the Romanian by the author. Zbl 0898.35002 Barbu, Viorel 18 1998 Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088 Barbu, Viorel; Röckner, Michael; Russo, Francesco 18 2011 Sur un problème aux limites pour une classe d’équations différentielles non linéaires abstraits du deuxième ordre en t. Zbl 0237.34095 Barbu, Viorel 17 1972 Nonlinear boundary-value problems for a class of hyperbolic systems. Zbl 0364.35038 Barbu, Viorel 17 1977 Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 17 2014 Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398 Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca 17 2016 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415 Barbu, Viorel; Röckner, Michael 17 2021 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 16 2009 Existence theorems for a class of two point boundary problems. Zbl 0295.35074 Barbu, Viorel 16 1975 Convexity and optimisation in Banach spaces. (Convexitate si optimizare in spatii Banach.). Zbl 0317.49011 Barbu, V.; Precupanu, Th. 16 1975 The two phase stochastic Stefan problem. Zbl 1101.60040 Barbu, Viorel; Da Prato, Giuseppe 16 2002 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 15 2000 Asymptotic behavior of linear integrodifferential systems. Zbl 0253.45007 Barbu, Viorel; Grossman, Stanley I. 15 1972 Periodic solutions to an unbounded Hamiltonian system. Zbl 0882.34065 Barbu, V. 15 1995 Exact controllability for the magnetohydrodynamic equations. Zbl 1121.93306 Barbu, Viorel; Havârneanu, Teodor; Popa, Cătălin; Sritharan, S. S. 14 2003 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047 Barbu, Viorel; Röckner, Michael; Russo, Francesco 14 2015 Boundary control problems with nonlinear state equation. Zbl 0493.49024 Barbu, Viorel 13 1982 \(H^\infty\)-control theory of fluid dynamics. Zbl 0919.93026 Barbu, V.; Sritharan, S. S. 13 1998 Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123 Barbu, Viorel; Da Prato, Giuseppe 13 2006 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 13 2009 Feedback stabilization of semilinear heat equations. Zbl 1065.93027 Barbu, V.; Wang, G. 13 2003 Integro-differential equations in Hilbert spaces. Zbl 0366.45013 Barbu, Viorel 13 1973 Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1167.35414 Lasiecka, I.; Barbu, V.; Rammaha, M. 13 2005 The stochastic logarithmic Schrödinger equation. Zbl 1360.60119 Barbu, Viorel; Röckner, Michael; Zhang, Deng 13 2017 Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076 Barbu, Viorel; Brzeźniak, Zdzisław; Hausenblas, Erika; Tubaro, Luciano 13 2013 Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051 Barbu, Viorel 12 2007 Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003 Barbu, V.; Lasiecka, I.; Triggiani, R. 12 2000 Existence and asymptotic results for a system of integro-partial differential equations. Zbl 0844.35040 Aizicovici, Sergiu; Barbu, Viorel 12 1996 Periodic optimal control in Hilbert space. Zbl 0849.49003 Barbu, V.; Pavel, N. H. 12 1996 Local exponential stabilization strategies of the Navier-Stokes equations, \(d=2,3\), via feedback stabilization of its linearization. Zbl 1239.93094 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 12 2007 Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177 Barbu, Viorel 12 2012 Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034 Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael 12 2006 The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients. Zbl 1246.35054 Barbu, V.; Lasiecka, I. 12 2012 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088 Barbu, Viorel; Röckner, Michael; Zhang, Deng 12 2017 The necessary conditions for optimal control in Hilbert spaces. Zbl 0667.49017 Barbu, V.; Barron, E. N.; Jensen, R. 11 1988 A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074 Barbu, Viorel 11 2011 Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. Zbl 0477.49013 Barbu, Viorel 11 1981 Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. Zbl 1514.60071 Barbu, Viorel; Röckner, Michael 2 2023 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation. Zbl 1514.35436 Barbu, Viorel; Roeckner, Michael 2 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 Nonlinear Fokker-Planck equations with time-dependent coefficients. Zbl 1511.60094 Barbu, Viorel; Röckner, Michael 1 2023 Existence of optimal control for nonlinear Fokker-Planck equations in \(L^1(\mathbb{R}^d)\). Zbl 1516.49024 Barbu, Viorel 1 2023 Semigroup approach to nonlinear diffusion equations. Zbl 1528.35001 Barbu, Viorel 2 2022 The invariance principle for nonlinear Fokker-Planck equations. Zbl 1490.60199 Barbu, Viorel; Röckner, Michael 1 2022 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 Boundary controllability of phase-transition region of a two-phase Stefan problem. Zbl 1478.93048 Barbu, Viorel 3 2021 Existence and uniqueness of solution to the two-phase Stefan problem with convection. Zbl 1477.35155 Barbu, Viorel; Ciotir, Ioana; Danaila, Ionut 2 2021 The controllability of Fokker-Planck equations with reflecting boundary conditions and controllers in diffusion term. Zbl 1460.93013 Barbu, Viorel 2 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216 Barbu, Viorel; Röckner, Michael 60 2020 Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022 Barbu, Viorel; Röckner, Michael; Zhang, Deng 6 2020 Optimal feedback controllers for a stochastic differential equation with reflection. Zbl 1441.49032 Barbu, Viorel 5 2020 An identification problem for a linear evolution equation in a Banach space. Zbl 1445.35321 Barbu, Viorel; Marinoschi, Gabriela 2 2020 Feedback optimal controllers for the Heston model. Zbl 1440.49042 Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca 2 2020 A variational approach to nonlinear stochastic differential equations with linear multiplicative noise. Zbl 1437.60035 Barbu, Viorel 2 2019 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091 Barbu, Viorel; Röckner, Michael 37 2018 Controllability and stabilization of parabolic equations. Zbl 1417.93005 Barbu, Viorel 21 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 Mild solutions to the dynamic programming equation for stochastic optimal control problems. Zbl 1400.93328 Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca 6 2018 Exact controllability of stochastic differential equations with multiplicative noise. Zbl 1408.93022 Barbu, V.; Tubaro, L. 5 2018 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051 Barbu, Viorel; Röckner, Michael 5 2018 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115 Barbu, Viorel; Röckner, Michael 2 2018 The approximation of the square root of the total variation flow. Zbl 1469.35125 Barbu, Viorel 1 2018 Stochastic nonlinear parabolic equations with Stratonovich gradient noise. Zbl 1404.93032 Barbu, Viorel; Brzeźniak, Zdzisław; Tubaro, Luciano 1 2018 Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048 Barbu, Viorel 1 2018 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 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 2017 Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094 Barbu, Viorel; Röckner, Michael 9 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 Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 2 2017 The steepest descent algorithm in Wasserstein metric for the sandpile model of self-organized criticality. Zbl 1372.35125 Barbu, Viorel 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 Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398 Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca 17 2016 An optimal control approach to the optical flow problem. Zbl 1327.93404 Barbu, Viorel; Marinoschi, Gabriela 11 2016 Generalized solutions to nonlinear Fokker-Planck equations. Zbl 1342.35395 Barbu, Viorel 10 2016 Differential equations. Translated from the Romanian. Originally published by Junimea, Iaşi 1985. Zbl 1370.34001 Barbu, Viorel 10 2016 Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic. Zbl 1356.60088 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 6 2016 Measure-valued branching processes associated with Neumann nonlinear semiflows. Zbl 1381.35099 Barbu, Viorel; Beznea, Lucian 5 2016 Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Zbl 1336.60117 Barbu, Viorel; Röckner, Michael 3 2016 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 in \(\mathbb R^d\). Zbl 1405.76047 Barbu, Viorel; Röckner, Michael; Russo, Francesco 14 2015 Stochastic parabolic equations with nonlinear dynamical boundary conditions. Zbl 1332.35404 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 5 2015 Stochastic porous media equations. Zbl 1333.60133 Barbu, Viorel 3 2015 Nonlinear parabolic flows with dynamic flux on the boundary. Zbl 1317.35113 Barbu, Viorel; Favini, Angelo; Marinoschi, Gabriela 3 2015 A stochastic heat equation with nonlinear dissipation on the boundary. Zbl 1316.60102 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 1 2015 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 38 2014 Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 17 2014 Exact null internal controllability for the heat equation on unbounded convex domains. Zbl 1282.93046 Barbu, Viorel 9 2014 A stochastic parabolic equation with nonlinear flux on the boundary driven by a Gaussian noise. Zbl 1292.60061 Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 3 2014 Asymptotic behaviour of the two phase stochastic Stefan flows driven by multiplicative Gaussian processes. Zbl 1389.80006 Barbu, Viorel 1 2014 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202 Barbu, Viorel; Röckner, Michael 34 2013 Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475 Barbu, Viorel 31 2013 Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076 Barbu, Viorel; Brzeźniak, Zdzisław; Hausenblas, Erika; Tubaro, Luciano 13 2013 Self-organized criticality of cellular automata model; absorbtion in finite-time of supercritical region into the critical one. Zbl 1273.35158 Barbu, Viorel 7 2013 Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise. Zbl 1283.35062 Barbu, Viorel 5 2013 The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Zbl 1286.60057 Barbu, Viorel; Röckner, Michael 2 2013 The internal stabilization of the Stokes-Oseen equation by feedback point controllers. Zbl 1276.93064 Barbu, Viorel 1 2013 Nonlinear diffusion equations in image processing. Zbl 1299.35152 Barbu, Viorel 1 2013 Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001 Barbu, Viorel; Precupanu, Teodor 136 2012 Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100 Barbu, Viorel 25 2012 Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177 Barbu, Viorel 12 2012 The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients. Zbl 1246.35054 Barbu, V.; Lasiecka, I. 12 2012 Convex integrals on Sobolev spaces. Zbl 1254.49006 Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel 11 2012 Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Zbl 1243.60046 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 10 2012 Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. Zbl 1238.60071 Barbu, Viorel; Röckner, Michael 10 2012 The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 6 2012 Localization of solutions to stochastic porous media equations: finite speed of propagation. Zbl 1246.60085 Barbu, Viorel; Roeckner, Michael 5 2012 A PDE approach to image restoration problem with observation on a meager domain. Zbl 1239.94005 Barbu, Tudor; Barbu, Viorel 4 2012 The fast logarithmic equation with multiplicative Gaussian noise. Zbl 1289.60108 Barbu, Viorel 3 2012 Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension. Zbl 1259.93093 Barbu, Viorel; Munteanu, Ionuţ 2 2012 The stochastic reflection problem with multiplicative noise. Zbl 1239.35191 Barbu, Viorel 1 2012 Stabilization of Navier-Stokes flows. Zbl 1213.76001 Barbu, Viorel 55 2011 Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141 Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen 32 2011 On a random scaled porous media equation. Zbl 1238.60070 Barbu, Viorel; Röckner, Michael 21 2011 Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088 Barbu, Viorel; Röckner, Michael; Russo, Francesco 18 2011 A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074 Barbu, Viorel 11 2011 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II. Zbl 1230.60081 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 11 2011 Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116 Barbu, Viorel; da Prato, Giuseppe 8 2011 A reflection type problem for the stochastic 2-D Navier-Stokes equations with periodic conditions. Zbl 1404.76070 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 2 2011 The internal stabilization by noise of the linearized Navier-Stokes equation. Zbl 1210.35302 Barbu, Viorel 2 2011 Internal stabilization of the Oseen-Stokes equations by Stratonovich noise. Zbl 1251.93105 Barbu, Viorel 1 2011 Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002 Barbu, Viorel 480 2010 Existence for semilinear parabolic stochastic equations. Zbl 1213.35260 Barbu, Viorel 9 2010 Stabilization of a plane periodic channel flow by noise wall normal controllers. Zbl 1206.35040 Barbu, Viorel 8 2010 Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062 Barbu, Viorel; da Prato, Giuseppe 5 2010 Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers. Zbl 1205.93070 Barbu, Viorel 2 2010 Optimal stabilizable feedback controller for Navier-Stokes equations. Zbl 1425.35134 Barbu, Viorel 2 2010 Erratum to “Uniqueness of the generators of 2D Euler and Navier-Stokes flows” [Stochastic Process. Appl. 118 (11) (2008) 2071-2084]. (Erratum to “Uniqueness of the generators of 2D Euler and Stokes flows” [Stochastic Process. Appl. 118 (11) (2008) 2071-2084].) Zbl 1202.35151 Albeverio, S.; Barbu, V.; Ferrario, B. 1 2010 Stochastic porous medium equations with flux boundary conditions. Zbl 1283.60091 Barbu, Viorel 1 2010 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 63 2009 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 46 2009 A PDE variational approach to image denoising and restoration. Zbl 1169.35341 Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel 26 2009 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141 Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 19 2009 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079 Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 16 2009 ...and 198 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,622 Authors 141 Barbu, Viorel 71 Röckner, Michael 61 Colli, Pierluigi 41 Marinoschi, Gabriela 41 Wang, Gengsheng 39 Da Prato, Giuseppe 37 Gilardi, Gianni 36 Lasiecka, Irena 34 Mohan, Manil Thankamani 32 Papageorgiou, Nikolaos S. 31 Scarpa, Luca 29 Kunisch, Karl 28 Migórski, Stanisław 26 Sprekels, Jürgen 26 Wang, Lijuan 24 Gess, Benjamin 23 Munteanu, Ionut 23 Triggiani, Roberto 22 Rocca, Elisabetta 20 Aniţa, Sebastian 20 Freitas, Mirelson M. 19 Rammaha, Mohammad A. 18 Akagi, Goro 18 Luo, Zhixue 17 Balachandran, Krishnan 17 Cavalcanti, Marcelo Moreira 17 He, Zerong 17 Ji, Shuguan 17 Liu, Wei 17 Raymond, Jean-Pierre 16 Apreutesei, Narcisa C. 16 Gao, Hang 16 Ramos, Anderson J. A. 16 Rascanu, Aurel 16 Schimperna, Giulio 16 Yao, Jen-Chih 15 Hintermüller, Michael 15 Rodrigues, Sérgio S. 15 Toundykov, Daniel 15 Zhang, Deng 14 Agarwal, Ravi P. 14 Khatibzadeh, Hadi 14 Liu, Hanbing 14 Santos, Mauro Lima 14 Sofonea, Mircea 14 Wang, Feng-Yu 14 Wei, Li 13 Bonetti, Elena 13 Cârjă, Ovidiu 13 Domingos Cavalcanti, Valéria Neves 13 Ezzinbi, Khalil 13 Fukao, Takeshi 13 Hritonenko, Natali 13 Yuan, Rong 12 Ceng, Lu-Chuan 12 Crandall, Michael G. 12 Di Persio, Luca 12 Maksimov, Vyacheslav Ivanovich 12 Marinelli, Carlo 12 Moroșanu, Gheorghe 12 Russo, Francesco 12 Sritharan, Sivaguru S. 12 Stefanelli, Ulisse 12 Takahashi, Wataru 12 Visintin, Augusto 12 Vrabie, Ioan I. 11 Aizicovici, Sergiu 11 Chueshov, Igor’ Dmitrievich 11 Ciotir, Ioana 11 Hu, Weiwei 11 Lovíšek, Ján 11 Park, Jong Yeoul 11 Yatsenko, Yuri 11 Zălinescu, Constantin 10 Aouadi, Moncef 10 Asfaw, Teffera M. 10 Bonaccorsi, Stefano 10 Brzeźniak, Zdzisław 10 Čanić, Sunčica 10 Cannarsa, Piermarco 10 Castaing, Charles 10 Goreac, Dan 10 Gozzi, Fausto 10 Grasselli, Maurizio 10 Hirano, Norimichi 10 Iannelli, Mimmo 10 Jeong, Jin-Mun 10 Pandolfi, Luciano 10 Tarzia, Domingo Alberto 10 Tiba, Dan 10 Tölle, Jonas M. 10 Tolstonogov, Aleksandr Aleksandrovich 10 Tubaro, Luciano 10 Valero, José 10 Yamazaki, Kazuo 10 Zhou, Xiuxiang 9 Ahmed, Nasir Uddin 9 Ainseba, Bedr’Eddine 9 Alduncin, Gonzalo 9 Arnăutu, Viorel ...and 3,522 more Authors all top 5 Cited in 468 Serials 235 Journal of Mathematical Analysis and Applications 146 Journal of Differential Equations 136 Nonlinear Analysis. 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Serie Quarta 20 Applications of Mathematics 20 Calculus of Variations and Partial Differential Equations 19 Infinite Dimensional Analysis, Quantum Probability and Related Topics 18 The Annals of Probability 18 Optimization 18 Applied Mathematics Letters 16 Archive for Rational Mechanics and Analysis 16 Journal of Mathematical Physics 16 Journal of Dynamics and Differential Equations 16 Differential Equations 16 Mediterranean Journal of Mathematics 15 Journal of Computational and Applied Mathematics 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Communications in Partial Differential Equations 15 Advances in Difference Equations 14 Mathematische Nachrichten 14 Journal of Mathematical Sciences (New York) 13 Rendiconti del Seminario Matematico della Università di Padova 13 Applied Mathematics and Mechanics. (English Edition) 13 MCSS. Mathematics of Control, Signals, and Systems 13 Boundary Value Problems 12 Nonlinearity 12 Topological Methods in Nonlinear Analysis 12 Journal of Applied Mathematics and Computing 11 Communications in Mathematical Physics 11 Mathematical Programming. Series A. Series B 11 Potential Analysis 11 Acta Mathematica Sinica. English Series 11 Science China. Mathematics 10 Inverse Problems 10 Journal of the Franklin Institute 10 Czechoslovak Mathematical Journal 10 Zeitschrift für Analysis und ihre Anwendungen 10 Physica D 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 SIAM Journal on Optimization 10 Russian Mathematics 10 Journal of Convex Analysis 10 Communications in Nonlinear Science and Numerical Simulation 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Kodai Mathematical Journal 9 Probability Theory and Related Fields 9 Journal of Integral Equations and Applications 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Computational Optimization and Applications 9 Electronic Journal of Differential Equations (EJDE) 9 Journal of Difference Equations and Applications 9 Nonautonomous Dynamical Systems 8 Bulletin of the Australian Mathematical Society 8 Ukrainian Mathematical Journal 8 Semigroup Forum 8 Journal of Theoretical Probability 8 Mathematical and Computer Modelling 8 Journal of Global Optimization 8 Journal of Inverse and Ill-Posed Problems 8 Electronic Journal of Probability 8 Stochastics and Dynamics 8 Stochastics ...and 368 more Serials all top 5 Cited in 57 Fields 2,027 Partial differential equations (35-XX) 1,089 Calculus of variations and optimal control; optimization (49-XX) 796 Operator theory (47-XX) 783 Systems theory; control (93-XX) 606 Probability theory and stochastic processes (60-XX) 402 Ordinary differential equations (34-XX) 381 Fluid mechanics (76-XX) 319 Numerical analysis (65-XX) 307 Mechanics of deformable solids (74-XX) 235 Biology and other natural sciences (92-XX) 181 Dynamical systems and ergodic theory (37-XX) 164 Operations research, mathematical programming (90-XX) 150 Integral equations (45-XX) 130 Functional analysis (46-XX) 105 Classical thermodynamics, heat transfer (80-XX) 100 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Global analysis, analysis on manifolds (58-XX) 65 Real functions (26-XX) 51 Difference and functional equations (39-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 46 Statistical mechanics, structure of matter (82-XX) 39 Information and communication theory, circuits (94-XX) 37 Computer science (68-XX) 29 Abstract harmonic analysis (43-XX) 26 Mechanics of particles and systems (70-XX) 23 Optics, electromagnetic theory (78-XX) 21 Measure and integration (28-XX) 21 General topology (54-XX) 18 Approximations and expansions (41-XX) 18 Quantum theory (81-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Potential theory (31-XX) 14 Functions of a complex variable (30-XX) 13 Convex and discrete geometry (52-XX) 13 Statistics (62-XX) 13 Geophysics (86-XX) 8 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Integral transforms, operational calculus (44-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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