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: 359 Publications since 1964, including 20 Books 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 5 Reviews Co-Authors: 83 Co-Authors with 209 Joint Publications 2,571 Co-Co-Authors all top 5 Co-Authors 157 single-authored 48 Da Prato, Giuseppe 40 Röckner, Michael 14 Favini, Angelo 13 Tubaro, Luciano 12 Lasiecka, Irena 11 Pavel, Nicolae H. 8 Iannelli, Mimmo 8 Sritharan, Sivaguru S. 7 Marinoschi, Gabriela 6 Zhang, Deng 5 Bonaccorsi, Stefano 5 Rammaha, Mohammad A. 5 Triggiani, Roberto 4 Coca, Daniel 4 Colli, Pierluigi 4 Gilardi, Gianni 4 Wang, Gengsheng 3 Aizicovici, Sergiu 3 Di Persio, Luca 3 Kunisch, Karl 3 Lefter, Cătălin-George 3 Precupanu, Th. 3 Russo, Francesco 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 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) 104 Calculus of variations and optimal control; optimization (49-XX) 101 Systems theory; control (93-XX) 100 Probability theory and stochastic processes (60-XX) 98 Operator theory (47-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 295 Publications have been cited 5,242 times in 3,540 Documents Cited by ▼ Year ▼ Nonlinear semigroups and differential equations in Banach spaces. Revised and enlarged translation of the Romanian ed. Zbl 0328.47035Barbu, Viorel 535 1976 Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002Barbu, Viorel 436 2010 Optimal control of variational inequalities. Zbl 0574.49005Barbu, V. 275 1984 Analysis and control of nonlinear infinite dimensional systems. Zbl 0776.49005Barbu, Viorel 201 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 0672.42008Corduneanu, C. 196 1989 Almost periodic functions. Zbl 0175.09101Corduneanu, C.; Georghiu, N.; Barbu, V. 176 1968 Convexity and optimization in Banach spaces. 2nd rev. and extended ed. Transl. from the Romanian. Zbl 0594.49001Barbu, V.; Precupanu, Th. 166 1986 Convexity and optimization on Banach spaces. Rev. and enl. translation. Zbl 0379.49010Barbu, V.; Precupanu, Th. 128 1978 Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001Barbu, Viorel; Precupanu, Teodor 119 2012 Optimal control of population dynamics. Zbl 0984.92022Barbu, V.; Iannelli, M. 77 1999 Mathematical methods in optimization of differential systems. Zbl 0819.49002Barbu, Viorel 73 1994 Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017Barbu, Viorel; Triggiani, Roberto 72 2004 Exact controllability of the superlinear heat equation. Zbl 0964.93046Barbu, V. 68 2000 Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001Barbu, V.; Da Prato, G. 65 1983 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 61 2009 Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 60 2006 Controllability of parabolic and Navier-Stokes equations. Zbl 1010.93054Barbu, Viorel 56 2002 Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers. Zbl 1098.35025Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 56 2006 On nonlinear wave equations with degenerate damping and source terms. Zbl 1065.35193Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A. 54 2005 Stabilization of Navier-Stokes flows. Zbl 1213.76001Barbu, Viorel 52 2011 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216Barbu, Viorel; Röckner, Michael 52 2020 On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia 47 2001 Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727Barbu, Viorel; Da Prato, Giuseppe 45 2007 Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad 44 2008 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 44 2009 Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario 43 2003 Controllability of the heat equation with memory. Zbl 0990.93008Barbu, V.; Iannelli, M. 42 2000 Periodic solutions to the nonlinear one-dimensional wave equation with \(x\)-dependent coefficients. Zbl 0880.35073Barbu, V.; Pavel, N. H. 41 1997 Existence of the energy-level weak solutions for a nonlinear fluid-structure interaction model. Zbl 1297.35234Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad 41 2007 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122Barbu, Viorel; Röckner, Michael 36 2015 A class of boundary problems for second order abstract differential equations. Zbl 0256.47052Barbu, Viorel 36 1972 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091Barbu, Viorel; Röckner, Michael 35 2018 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116Barbu, Viorel; Röckner, Michael; Zhang, Deng 34 2014 The time optimal control of Navier-Stokes equations. Zbl 0898.49011Barbu, Viorel 34 1997 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2016 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 31 2008 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202Barbu, Viorel; Röckner, Michael 30 2013 Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037Barbu, Viorel 30 2003 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118Barbu, Viorel; Röckner, Michael; Zhang, Deng 30 2016 Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475Barbu, Viorel 29 2013 Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen 29 2011 A PDE variational approach to image denoising and restoration. Zbl 1169.35341Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel 26 2009 Boundary control problems with convex cost criterion. Zbl 0428.49015Barbu, Viorel 26 1980 Necessary conditions for distributed control problems governed by parabolic variational inequalities. Zbl 0474.49024Barbu, Viorel 26 1981 Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1121.35082Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A. 25 2007 Optimal control of Navier-Stokes equations with periodic inputs. Zbl 0914.49009Barbu, Viorel 24 1998 Existence for nonlinear Volterra equations in Hilbert spaces. Zbl 0462.45021Barbu, Viorel 24 1979 Flow invariance preserving feedback controllers for the Navier-Stokes equation. Zbl 1073.93030Barbu, V.; Sritharan, S. S. 22 2001 Nonlinear Volterra equations in a Hilbert space. Zbl 0322.45012Barbu, Viorel 22 1975 The stochastic nonlinear damped wave equation. Zbl 1024.47025Barbu, Viorel; Da Prato, Giuseppe 22 2002 Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100Barbu, Viorel 21 2012 Null controllability of nonlinear convective heat equations. Zbl 0938.93008Aniţa, Sebastian; Barbu, Viorel 21 2000 Internal stabilization of semilinear parabolic systems. Zbl 1030.35100Barbu, V.; Wang, G. 21 2003 Continuous perturbations of nonlinear \(m\)-accretive operators in Banach spaces. Zbl 0256.47053Barbu, V. 21 1972 On a random scaled porous media equation. Zbl 1238.60070Barbu, Viorel; Röckner, Michael 20 2011 Local controllability of the phase field system. Zbl 1006.35013Barbu, Viorel 20 2002 Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients. Zbl 0896.35075Barbu, V.; Pavel, N. H. 20 1996 Stochastic wave equations with dissipative damping. Zbl 1122.60056Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 19 2007 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. Zbl 1205.60141Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 19 2009 Determining the acoustic impedance in the 1-D wave equation via an optimal control problem. Zbl 0906.49009Barbu, V.; Pavel, N. H. 18 1997 Navier-Stokes equation with hereditary viscosity. Zbl 1040.35056Barbu, V.; Sritharan, S. S. 18 2003 Nonlinear boundary-value problems for a class of hyperbolic systems. Zbl 0364.35038Barbu, Viorel 17 1977 Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088Barbu, Viorel; Röckner, Michael; Russo, Francesco 17 2011 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053Barbu, Viorel; Röckner, Michael; Zhang, Deng 17 2018 Sur un problème aux limites pour une classe d’équations différentielles non linéaires abstraits du deuxième ordre en t. Zbl 0237.34095Barbu, Viorel 17 1972 The two phase stochastic Stefan problem. Zbl 1101.60040Barbu, Viorel; Da Prato, Giuseppe 16 2002 Convexity and optimisation in Banach spaces. (Convexitate si optimizare in spatii Banach.). Zbl 0317.49011Barbu, V.; Precupanu, Th. 16 1975 Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 16 2014 Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca 16 2016 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 15 2009 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 15 2000 Periodic solutions to an unbounded Hamiltonian system. Zbl 0882.34065Barbu, V. 15 1995 Controllability and stabilization of parabolic equations. Zbl 1417.93005Barbu, Viorel 15 2018 Asymptotic behavior of linear integrodifferential systems. Zbl 0253.45007Barbu, Viorel; Grossman, Stanley I. 15 1972 Existence theorems for a class of two point boundary problems. Zbl 0295.35074Barbu, Viorel 14 1975 Exact controllability for the magnetohydrodynamic equations. Zbl 1121.93306Barbu, Viorel; Havârneanu, Teodor; Popa, Cătălin; Sritharan, S. S. 14 2003 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415Barbu, Viorel; Röckner, Michael 14 2021 Integro-differential equations in Hilbert spaces. Zbl 0366.45013Barbu, Viorel 13 1973 Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123Barbu, Viorel; Da Prato, Giuseppe 13 2006 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 13 2009 Feedback stabilization of semilinear heat equations. Zbl 1065.93027Barbu, V.; Wang, G. 13 2003 Boundary control problems with nonlinear state equation. Zbl 0493.49024Barbu, Viorel 13 1982 Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076Barbu, Viorel; Brzeźniak, Zdzisław; Hausenblas, Erika; Tubaro, Luciano 13 2013 Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1167.35414Lasiecka, I.; Barbu, V.; Rammaha, M. 13 2005 Partial differential equations and boundary value problems. Transl. from the Romanian by the author. Zbl 0898.35002Barbu, Viorel 13 1998 \(H^\infty\)-control theory of fluid dynamics. Zbl 0919.93026Barbu, V.; Sritharan, S. S. 12 1998 Existence and asymptotic results for a system of integro-partial differential equations. Zbl 0844.35040Aizicovici, Sergiu; Barbu, Viorel 12 1996 Periodic optimal control in Hilbert space. Zbl 0849.49003Barbu, V.; Pavel, N. H. 12 1996 The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients. Zbl 1246.35054Barbu, V.; Lasiecka, I. 12 2012 Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael 12 2006 Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051Barbu, Viorel 12 2007 Local exponential stabilization strategies of the Navier-Stokes equations, \(d=2,3\), via feedback stabilization of its linearization. Zbl 1239.93094Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 12 2007 Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177Barbu, Viorel 12 2012 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047Barbu, Viorel; Röckner, Michael; Russo, Francesco 12 2015 A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074Barbu, Viorel 11 2011 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II. Zbl 1230.60081Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 11 2011 Internal stabilizability of the Navier-Stokes equations. Zbl 1134.93396Barbu, Viorel; Cătălin, Lefter 11 2003 Convex integrals on Sobolev spaces. Zbl 1254.49006Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel 11 2012 Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. Zbl 0477.49013Barbu, Viorel 11 1981 The necessary conditions for optimal control in Hilbert spaces. Zbl 0667.49017Barbu, V.; Barron, E. N.; Jensen, R. 11 1988 Nonlinear Fokker-Planck equations with time-dependent coefficients. Zbl 1511.60094Barbu, Viorel; Röckner, Michael 1 2023 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation. Zbl 1514.35436Barbu, Viorel; Roeckner, Michael 1 2023 Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. Zbl 1514.60071Barbu, Viorel; Röckner, Michael 1 2023 Semigroup approach to nonlinear diffusion equations. Zbl 07408128Barbu, Viorel 2 2022 The invariance principle for nonlinear Fokker-Planck equations. Zbl 1490.60199Barbu, Viorel; Röckner, Michael 1 2022 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415Barbu, Viorel; Röckner, Michael 14 2021 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107Barbu, Viorel; Röckner, Michael 8 2021 The controllability of Fokker-Planck equations with reflecting boundary conditions and controllers in diffusion term. Zbl 1460.93013Barbu, Viorel 2 2021 Existence and uniqueness of solution to the two-phase Stefan problem with convection. Zbl 1477.35155Barbu, Viorel; Ciotir, Ioana; Danaila, Ionut 1 2021 Boundary controllability of phase-transition region of a two-phase Stefan problem. Zbl 1478.93048Barbu, Viorel 1 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216Barbu, Viorel; Röckner, Michael 52 2020 Optimal feedback controllers for a stochastic differential equation with reflection. Zbl 1441.49032Barbu, Viorel 5 2020 Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022Barbu, Viorel; Röckner, Michael; Zhang, Deng 5 2020 Feedback optimal controllers for the Heston model. Zbl 1440.49042Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca 2 2020 An identification problem for a linear evolution equation in a Banach space. Zbl 1445.35321Barbu, Viorel; Marinoschi, Gabriela 1 2020 A variational approach to nonlinear stochastic differential equations with linear multiplicative noise. Zbl 1437.60035Barbu, Viorel 2 2019 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091Barbu, Viorel; Röckner, Michael 35 2018 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053Barbu, Viorel; Röckner, Michael; Zhang, Deng 17 2018 Controllability and stabilization of parabolic equations. Zbl 1417.93005Barbu, Viorel 15 2018 Mild solutions to the dynamic programming equation for stochastic optimal control problems. Zbl 1400.93328Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca 6 2018 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051Barbu, Viorel; Röckner, Michael 5 2018 Exact controllability of stochastic differential equations with multiplicative noise. Zbl 1408.93022Barbu, V.; Tubaro, L. 5 2018 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115Barbu, Viorel; Röckner, Michael 2 2018 Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048Barbu, Viorel 1 2018 The approximation of the square root of the total variation flow. Zbl 1469.35125Barbu, Viorel 1 2018 Stochastic nonlinear parabolic equations with Stratonovich gradient noise. Zbl 1404.93032Barbu, Viorel; Brzeźniak, Zdzisław; Tubaro, Luciano 1 2018 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088Barbu, Viorel; Röckner, Michael; Zhang, Deng 11 2017 The stochastic logarithmic Schrödinger equation. Zbl 1360.60119Barbu, Viorel; Röckner, Michael; Zhang, Deng 10 2017 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 10 2017 Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094Barbu, Viorel; Röckner, Michael 7 2017 A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095Barbu, Viorel; Röckner, Michael 5 2017 Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635Barbu, Viorel; Röckner, Michael; Russo, Francesco 4 2017 Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113Barbu, 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 1372.35125Barbu, Viorel 1 2017 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2016 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118Barbu, Viorel; Röckner, Michael; Zhang, Deng 30 2016 Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca 16 2016 An optimal control approach to the optical flow problem. Zbl 1327.93404Barbu, Viorel; Marinoschi, Gabriela 10 2016 Generalized solutions to nonlinear Fokker-Planck equations. Zbl 1342.35395Barbu, Viorel 8 2016 Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic. Zbl 1356.60088Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 6 2016 Differential equations. Translated from the Romanian. Originally published by Junimea, Iaşi 1985. Zbl 1370.34001Barbu, Viorel 5 2016 Measure-valued branching processes associated with Neumann nonlinear semiflows. Zbl 1381.35099Barbu, Viorel; Beznea, Lucian 5 2016 Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Zbl 1336.60117Barbu, Viorel; Röckner, Michael 3 2016 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122Barbu, Viorel; Röckner, Michael 36 2015 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047Barbu, Viorel; Röckner, Michael; Russo, Francesco 12 2015 Stochastic parabolic equations with nonlinear dynamical boundary conditions. Zbl 1332.35404Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 4 2015 Nonlinear parabolic flows with dynamic flux on the boundary. Zbl 1317.35113Barbu, Viorel; Favini, Angelo; Marinoschi, Gabriela 3 2015 Stochastic porous media equations. Zbl 1333.60133Barbu, Viorel 3 2015 A stochastic heat equation with nonlinear dissipation on the boundary. Zbl 1316.60102Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 1 2015 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116Barbu, Viorel; Röckner, Michael; Zhang, Deng 34 2014 Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 16 2014 Exact null internal controllability for the heat equation on unbounded convex domains. Zbl 1282.93046Barbu, Viorel 8 2014 A stochastic parabolic equation with nonlinear flux on the boundary driven by a Gaussian noise. Zbl 1292.60061Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano 3 2014 Asymptotic behaviour of the two phase stochastic Stefan flows driven by multiplicative Gaussian processes. Zbl 1389.80006Barbu, Viorel 1 2014 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202Barbu, Viorel; Röckner, Michael 30 2013 Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475Barbu, Viorel 29 2013 Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076Barbu, 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 1273.35158Barbu, Viorel 6 2013 Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise. Zbl 1283.35062Barbu, Viorel 5 2013 The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Zbl 1286.60057Barbu, Viorel; Röckner, Michael 2 2013 The internal stabilization of the Stokes-Oseen equation by feedback point controllers. Zbl 1276.93064Barbu, Viorel 1 2013 Nonlinear diffusion equations in image processing. Zbl 1299.35152Barbu, Viorel 1 2013 Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001Barbu, Viorel; Precupanu, Teodor 119 2012 Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100Barbu, Viorel 21 2012 The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients. Zbl 1246.35054Barbu, V.; Lasiecka, I. 12 2012 Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177Barbu, Viorel 12 2012 Convex integrals on Sobolev spaces. Zbl 1254.49006Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel 11 2012 Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. Zbl 1238.60071Barbu, Viorel; Röckner, Michael 10 2012 Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Zbl 1243.60046Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 9 2012 Localization of solutions to stochastic porous media equations: finite speed of propagation. Zbl 1246.60085Barbu, Viorel; Roeckner, Michael 5 2012 The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 5 2012 A PDE approach to image restoration problem with observation on a meager domain. Zbl 1239.94005Barbu, Tudor; Barbu, Viorel 4 2012 The fast logarithmic equation with multiplicative Gaussian noise. Zbl 1289.60108Barbu, Viorel 3 2012 Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension. Zbl 1259.93093Barbu, Viorel; Munteanu, Ionuţ 1 2012 The stochastic reflection problem with multiplicative noise. Zbl 1239.35191Barbu, Viorel 1 2012 Stabilization of Navier-Stokes flows. Zbl 1213.76001Barbu, Viorel 52 2011 Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen 29 2011 On a random scaled porous media equation. Zbl 1238.60070Barbu, Viorel; Röckner, Michael 20 2011 Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088Barbu, Viorel; Röckner, Michael; Russo, Francesco 17 2011 A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074Barbu, Viorel 11 2011 Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II. Zbl 1230.60081Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 11 2011 Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116Barbu, Viorel; da Prato, Giuseppe 8 2011 The internal stabilization by noise of the linearized Navier-Stokes equation. Zbl 1210.35302Barbu, Viorel 2 2011 A reflection type problem for the stochastic 2-D Navier-Stokes equations with periodic conditions. Zbl 1404.76070Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 1 2011 Internal stabilization of the Oseen-Stokes equations by Stratonovich noise. Zbl 1251.93105Barbu, Viorel 1 2011 Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002Barbu, Viorel 436 2010 Existence for semilinear parabolic stochastic equations. Zbl 1213.35260Barbu, Viorel 9 2010 Stabilization of a plane periodic channel flow by noise wall normal controllers. Zbl 1206.35040Barbu, Viorel 8 2010 Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062Barbu, Viorel; da Prato, Giuseppe 5 2010 Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers. Zbl 1205.93070Barbu, Viorel 2 2010 Optimal stabilizable feedback controller for Navier-Stokes equations. Zbl 1425.35134Barbu, 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 1202.35151Albeverio, S.; Barbu, V.; Ferrario, B. 1 2010 Stochastic porous medium equations with flux boundary conditions. Zbl 1283.60091Barbu, Viorel 1 2010 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 61 2009 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 44 2009 A PDE variational approach to image denoising and restoration. Zbl 1169.35341Barbu, 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 1205.60141Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano 19 2009 Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 15 2009 Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 13 2009 Strong solutions for stochastic porous media equations with jumps. Zbl 1181.60095Barbu, Viorel; Marinelli, Carlo 5 2009 ...and 195 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,360 Authors 139 Barbu, Viorel 67 Röckner, Michael 59 Colli, Pierluigi 41 Wang, Gengsheng 40 Marinoschi, Gabriela 39 Da Prato, Giuseppe 36 Lasiecka, Irena 34 Gilardi, Gianni 32 Papageorgiou, Nikolaos S. 30 Scarpa, Luca 27 Kunisch, Karl 27 Mohan, Manil Thankamani 25 Wang, Lijuan 24 Gess, Benjamin 24 Migórski, Stanisław 23 Munteanu, Ionut 23 Sprekels, Jürgen 22 Triggiani, Roberto 20 Aniţa, Sebastian 19 Rammaha, Mohammad A. 19 Rocca, Elisabetta 17 Akagi, Goro 17 Balachandran, Krishnan 17 Luo, Zhixue 17 Raymond, Jean-Pierre 16 Apreutesei, Narcisa C. 16 Gao, Hang 16 He, Zerong 16 Ji, Shuguan 16 Liu, Wei 16 Rascanu, Aurel 15 Cavalcanti, Marcelo Moreira 15 Hintermüller, Michael 15 Toundykov, Daniel 15 Yao, Jen-Chih 14 Agarwal, Ravi P. 14 Freitas, Mirelson M. 14 Liu, Hanbing 14 Schimperna, Giulio 14 Sofonea, Mircea 14 Wei, Li 13 Bonetti, Elena 13 Cârjă, Ovidiu 13 Fukao, Takeshi 13 Khatibzadeh, Hadi 12 Ceng, Lu-Chuan 12 Crandall, Michael G. 12 Di Persio, Luca 12 Ezzinbi, Khalil 12 Le Rousseau, Jérôme H. 12 Maksimov, Vyacheslav Ivanovich 12 Marinelli, Carlo 12 Moroșanu, Gheorghe 12 Ramos, Anderson J. A. 12 Rodrigues, Sérgio S. 12 Sritharan, Sivaguru S. 12 Stefanelli, Ulisse 12 Takahashi, Wataru 12 Visintin, Augusto 12 Vrabie, Ioan I. 12 Yuan, Rong 12 Zhang, Deng 11 Aizicovici, Sergiu 11 Chueshov, Igor’ Dmitrievich 11 Ciotir, Ioana 11 Domingos Cavalcanti, Valéria Neves 11 Hu, Weiwei 11 Lovíšek, Ján 11 Park, Jong Yeoul 11 Russo, Francesco 11 Zălinescu, Constantin 10 Bonaccorsi, Stefano 10 Cannarsa, Piermarco 10 Goreac, Dan 10 Hirano, Norimichi 10 Hritonenko, Natali 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 9 Ahmed, Nasir Uddin 9 Ainseba, Bedr’Eddine 9 Alduncin, Gonzalo 9 Arnăutu, Viorel 9 Asfaw, Teffera M. 9 Čanić, Sunčica 9 Castaing, Charles 9 Cordoni, Francesco Giuseppe 9 Díaz Díaz, Jesús Ildefonso 9 Emmrich, Etienne 9 Gozzi, Fausto 9 Lions, Pierre-Louis 9 Liu, Bin 9 Liu, Steve Wenbin ...and 3,260 more Authors all top 5 Cited in 445 Serials 231 Journal of Mathematical Analysis and Applications 137 Journal of Differential Equations 134 Nonlinear Analysis. 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(English Edition) 12 Journal of Applied Mathematics and Computing 12 Boundary Value Problems 11 Communications in Mathematical Physics 11 Mathematical Programming. Series A. Series B 11 Topological Methods in Nonlinear Analysis 11 Acta Mathematica Sinica. English Series 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 Potential Analysis 10 Journal of Convex Analysis 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Science China. Mathematics 9 Inverse Problems 9 Kodai Mathematical Journal 9 Journal of Integral Equations and Applications 9 Computational Optimization and Applications 9 Journal of Difference Equations and Applications 9 Communications in Nonlinear Science and Numerical Simulation 9 Nonautonomous Dynamical Systems 8 Bulletin of the Australian Mathematical Society 8 Ukrainian Mathematical Journal 8 Semigroup Forum 8 Probability Theory and Related Fields 8 Mathematical and Computer Modelling 8 Journal of Global Optimization 8 Stochastics and Dynamics 7 Mathematical Notes 7 Nonlinearity 7 Journal of Mathematical Economics 7 Journal of Soviet Mathematics 7 Mathematische Annalen 7 Numerische Mathematik 7 Proceedings of the Japan Academy. Series A ...and 345 more Serials all top 5 Cited in 56 Fields 1,863 Partial differential equations (35-XX) 1,027 Calculus of variations and optimal control; optimization (49-XX) 738 Operator theory (47-XX) 737 Systems theory; control (93-XX) 572 Probability theory and stochastic processes (60-XX) 373 Ordinary differential equations (34-XX) 351 Fluid mechanics (76-XX) 299 Numerical analysis (65-XX) 267 Mechanics of deformable solids (74-XX) 219 Biology and other natural sciences (92-XX) 163 Dynamical systems and ergodic theory (37-XX) 153 Operations research, mathematical programming (90-XX) 144 Integral equations (45-XX) 124 Functional analysis (46-XX) 100 Classical thermodynamics, heat transfer (80-XX) 95 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Global analysis, analysis on manifolds (58-XX) 56 Real functions (26-XX) 47 Difference and functional equations (39-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 43 Statistical mechanics, structure of matter (82-XX) 37 Information and communication theory, circuits (94-XX) 31 Computer science (68-XX) 27 Abstract harmonic analysis (43-XX) 22 Mechanics of particles and systems (70-XX) 22 Optics, electromagnetic theory (78-XX) 20 General topology (54-XX) 19 Measure and integration (28-XX) 17 Approximations and expansions (41-XX) 17 Quantum theory (81-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Potential theory (31-XX) 13 Functions of a complex variable (30-XX) 13 Statistics (62-XX) 12 Geophysics (86-XX) 11 Convex and discrete geometry (52-XX) 8 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-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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