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Author ID: barbu.viorel Recent zbMATH articles by "Barbu, Viorel"
Published as: Barbu, Viorel; Barbu, V.
Further Spellings: Барбу Виорел
Homepage: http://www.math.uaic.ro/~barbu/
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all top 5

Co-Authors

154 single-authored
48 Da Prato, Giuseppe
36 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 Bernardi, Marco Luigi
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 Moroşanu, Gheorghe
1 Munteanu, Ionut
1 Pascali, Dan D.
1 Popa, Constantin Gh.
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

23 SIAM Journal on Control and Optimization
15 Journal of Mathematical Analysis and Applications
15 Applied Mathematics and Optimization
14 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
6 SIAM Journal on Mathematical Analysis
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 Indiana University Mathematics Journal
5 Journal of Optimization Theory and Applications
4 The Annals of Probability
4 Control and Cybernetics
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
3 Automatica
3 Journal of Functional Analysis
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
3 Stochastic and Partial Differential Equations. Analysis and Computations
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 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 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
1 Communications and Control Engineering
1 Interscience Tracts in Pure and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

283 Publications have been cited 4,818 times in 3,135 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
508
1976
Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002
Barbu, Viorel
350
2010
Optimal control of variational inequalities. Zbl 0574.49005
Barbu, V.
231
1984
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.
179
1989
Analysis and control of nonlinear infinite dimensional systems. Zbl 0776.49005
Barbu, Viorel
166
1993
Almost periodic functions. Zbl 0175.09101
Corduneanu, C.; Georghiu, N.; Barbu, V.
162
1968
Convexity and optimization in Banach spaces. 2nd rev. and extended ed. Transl. from the Romanian. Zbl 0594.49001
Barbu, V.; Precupanu, Th.
156
1986
Convexity and optimization on Banach spaces. Rev. and enl. translation. Zbl 0379.49010
Barbu, V.; Precupanu, Th.
122
1978
Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001
Barbu, Viorel; Precupanu, Teodor
105
2012
Optimal control of population dynamics. Zbl 0984.92022
Barbu, V.; Iannelli, M.
71
1999
Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017
Barbu, Viorel; Triggiani, Roberto
68
2004
Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001
Barbu, V.; Da Prato, G.
61
1983
Mathematical methods in optimization of differential systems. Zbl 0819.49002
Barbu, Viorel
60
1994
Exact controllability of the superlinear heat equation. Zbl 0964.93046
Barbu, V.
59
2000
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
59
2009
Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto
55
2006
Controllability of parabolic and Navier-Stokes equations. Zbl 1010.93054
Barbu, Viorel
54
2002
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
52
2006
On nonlinear wave equations with degenerate damping and source terms. Zbl 1065.35193
Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A.
50
2005
Stabilization of Navier-Stokes flows. Zbl 1213.76001
Barbu, Viorel
43
2011
On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024
Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia
42
2001
Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016
Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad
42
2008
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
41
2009
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
40
2007
Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011
Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario
40
2003
Periodic solutions to the nonlinear one-dimensional wave equation with \(x\)-dependent coefficients. Zbl 0880.35073
Barbu, V.; Pavel, N. H.
38
1997
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
38
2007
Controllability of the heat equation with memory. Zbl 0990.93008
Barbu, V.; Iannelli, M.
36
2000
A class of boundary problems for second order abstract differential equations. Zbl 0256.47052
Barbu, Viorel
33
1972
The time optimal control of Navier-Stokes equations. Zbl 0898.49011
Barbu, Viorel
31
1997
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
30
2003
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
30
2015
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
29
2008
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216
Barbu, Viorel; Röckner, Michael
27
2020
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
26
2013
Boundary control problems with convex cost criterion. Zbl 0428.49015
Barbu, Viorel
25
1980
A PDE variational approach to image denoising and restoration. Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
25
2009
Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475
Barbu, Viorel
25
2013
Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141
Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen
25
2011
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
24
2014
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
24
2016
Optimal control of Navier-Stokes equations with periodic inputs. Zbl 0914.49009
Barbu, Viorel
23
1998
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.
23
2007
Existence for nonlinear Volterra equations in Hilbert spaces. Zbl 0462.45021
Barbu, Viorel
22
1979
Necessary conditions for distributed control problems governed by parabolic variational inequalities. Zbl 0474.49024
Barbu, Viorel
22
1981
Flow invariance preserving feedback controllers for the Navier-Stokes equation. Zbl 1073.93030
Barbu, V.; Sritharan, S. S.
21
2001
Nonlinear Volterra equations in a Hilbert space. Zbl 0322.45012
Barbu, Viorel
21
1975
Continuous perturbations of nonlinear \(m\)-accretive operators in Banach spaces. Zbl 0256.47053
Barbu, V.
21
1972
Null controllability of nonlinear convective heat equations. Zbl 0938.93008
Aniţa, Sebastian; Barbu, Viorel
20
2000
Internal stabilization of semilinear parabolic systems. Zbl 1030.35100
Barbu, V.; Wang, G.
20
2003
Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100
Barbu, Viorel
20
2012
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
20
2011
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
19
2002
Local controllability of the phase field system. Zbl 1006.35013
Barbu, Viorel
19
2002
Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients. Zbl 0896.35075
Barbu, V.; Pavel, N. H.
19
1996
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
19
2018
Determining the acoustic impedance in the 1-D wave equation via an optimal control problem. Zbl 0906.49009
Barbu, V.; Pavel, N. H.
18
1997
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
18
2007
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
18
2009
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
18
2016
Nonlinear boundary-value problems for a class of hyperbolic systems. Zbl 0364.35038
Barbu, Viorel
16
1977
Navier-Stokes equation with hereditary viscosity. Zbl 1040.35056
Barbu, V.; Sritharan, S. S.
16
2003
Sur un problème aux limites pour une classe d’équations différentielles non linéaires abstraits du deuxième ordre en t. Zbl 0237.34095
Barbu, Viorel
16
1972
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
15
2000
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
15
2002
Periodic solutions to an unbounded Hamiltonian system. Zbl 0882.34065
Barbu, V.
15
1995
Convexity and optimisation in Banach spaces. (Convexitate si optimizare in spatii Banach.). Zbl 0317.49011
Barbu, V.; Precupanu, Th.
15
1975
Asymptotic behavior of linear integrodifferential systems. Zbl 0253.45007
Barbu, Viorel; Grossman, Stanley I.
15
1972
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
14
2009
Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398
Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca
14
2016
Integro-differential equations in Hilbert spaces. Zbl 0366.45013
Barbu, Viorel
13
1973
Exact controllability for the magnetohydrodynamic equations. Zbl 1121.93306
Barbu, Viorel; Havârneanu, Teodor; Popa, Cătălin; Sritharan, S. S.
13
2003
Partial differential equations and boundary value problems. Transl. from the Romanian by the author. Zbl 0898.35002
Barbu, Viorel
13
1998
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
13
2009
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
\(H^\infty\)-control theory of fluid dynamics. Zbl 0919.93026
Barbu, V.; Sritharan, S. S.
12
1998
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1167.35414
Lasiecka, I.; Barbu, V.; Rammaha, M.
12
2005
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
12
2006
Feedback stabilization of semilinear heat equations. Zbl 1065.93027
Barbu, V.; Wang, G.
12
2003
Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
12
2014
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
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
12
2012
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
Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051
Barbu, Viorel
11
2007
Boundary control problems with nonlinear state equation. Zbl 0493.49024
Barbu, Viorel
11
1982
Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003
Barbu, V.; Lasiecka, I.; Triggiani, R.
11
2000
Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. Zbl 0477.49013
Barbu, Viorel
11
1981
Existence theorems for a class of two point boundary problems. Zbl 0295.35074
Barbu, Viorel
11
1975
The necessary conditions for optimal control in Hilbert spaces. Zbl 0667.49017
Barbu, V.; Barron, E. N.; Jensen, R.
11
1988
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
11
2006
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
11
2011
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
11
2007
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
11
2012
Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076
Barbu, Viorel; Brzeźniak, Zdzisław; Hausenblas, Erika; Tubaro, Luciano
11
2013
Semigroups of nonlinear contractions in Banach spaces. (Semigrupuri de contractii neliniare in spatii Banach.). Zbl 0276.47044
Barbu, Viorel
10
1974
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
10
2008
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053
Barbu, Viorel; Röckner, Michael; Zhang, Deng
10
2018
An optimal control approach to the optical flow problem. Zbl 1327.93404
Barbu, Viorel; Marinoschi, Gabriela
10
2016
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
Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415
Barbu, Viorel; Röckner, Michael
6
2021
The controllability of Fokker-Planck equations with reflecting boundary conditions and controllers in diffusion term. Zbl 1460.93013
Barbu, Viorel
1
2021
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 07450815
Barbu, Viorel; Röckner, Michael
1
2021
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216
Barbu, Viorel; Röckner, Michael
27
2020
Optimal feedback controllers for a stochastic differential equation with reflection. Zbl 1441.49032
Barbu, Viorel
3
2020
Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2
2020
Feedback optimal controllers for the Heston model. Zbl 1440.49042
Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca
1
2020
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
19
2018
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053
Barbu, Viorel; Röckner, Michael; Zhang, Deng
10
2018
Controllability and stabilization of parabolic equations. Zbl 1417.93005
Barbu, Viorel
9
2018
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051
Barbu, Viorel; Röckner, Michael
5
2018
Mild solutions to the dynamic programming equation for stochastic optimal control problems. Zbl 1400.93328
Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca
5
2018
Exact controllability of stochastic differential equations with multiplicative noise. Zbl 1408.93022
Barbu, V.; Tubaro, L.
2
2018
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115
Barbu, Viorel; Röckner, Michael
2
2018
Stochastic nonlinear parabolic equations with Stratonovich gradient noise. Zbl 1404.93032
Barbu, Viorel; Brzeźniak, Zdzisław; Tubaro, Luciano
1
2018
The approximation of the square root of the total variation flow. Zbl 1469.35125
Barbu, Viorel
1
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
1
2018
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
10
2017
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088
Barbu, Viorel; Röckner, Michael; Zhang, Deng
7
2017
Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094
Barbu, Viorel; Röckner, Michael
4
2017
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095
Barbu, Viorel; Röckner, Michael
4
2017
The stochastic logarithmic Schrödinger equation. Zbl 1360.60119
Barbu, Viorel; Röckner, Michael; Zhang, Deng
3
2017
Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635
Barbu, Viorel; Röckner, Michael; Russo, Francesco
3
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
24
2016
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
18
2016
Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398
Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca
14
2016
An optimal control approach to the optical flow problem. Zbl 1327.93404
Barbu, Viorel; Marinoschi, Gabriela
10
2016
Generalized solutions to nonlinear Fokker-Planck equations. Zbl 1342.35395
Barbu, Viorel
7
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
Differential equations. Translated from the Romanian. Originally published by Junimea, Iaşi 1985. Zbl 1370.34001
Barbu, Viorel
4
2016
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
30
2015
Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047
Barbu, Viorel; Röckner, Michael; Russo, Francesco
4
2015
Stochastic parabolic equations with nonlinear dynamical boundary conditions. Zbl 1332.35404
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
4
2015
Nonlinear parabolic flows with dynamic flux on the boundary. Zbl 1317.35113
Barbu, Viorel; Favini, Angelo; Marinoschi, Gabriela
3
2015
Stochastic porous media equations. Zbl 1333.60133
Barbu, Viorel
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
24
2014
Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
12
2014
Exact null internal controllability for the heat equation on unbounded convex domains. Zbl 1282.93046
Barbu, Viorel
7
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
26
2013
Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475
Barbu, Viorel
25
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
11
2013
Self-organized criticality of cellular automata model; absorbtion in finite-time of supercritical region into the critical one. Zbl 1273.35158
Barbu, Viorel
6
2013
Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise. Zbl 1283.35062
Barbu, Viorel
4
2013
The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Zbl 1286.60057
Barbu, Viorel; Röckner, Michael
1
2013
Nonlinear diffusion equations in image processing. Zbl 1299.35152
Barbu, Viorel
1
2013
The internal stabilization of the Stokes-Oseen equation by feedback point controllers. Zbl 1276.93064
Barbu, Viorel
1
2013
Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001
Barbu, Viorel; Precupanu, Teodor
105
2012
Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100
Barbu, Viorel
20
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
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
12
2012
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, 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 1238.60071
Barbu, Viorel; Röckner, Michael
10
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
8
2012
The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
5
2012
A PDE approach to image restoration problem with observation on a meager domain. Zbl 1239.94005
Barbu, Tudor; Barbu, Viorel
4
2012
Localization of solutions to stochastic porous media equations: finite speed of propagation. Zbl 1246.60085
Barbu, Viorel; Roeckner, Michael
3
2012
The fast logarithmic equation with multiplicative Gaussian noise. Zbl 1289.60108
Barbu, Viorel
2
2012
Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension. Zbl 1259.93093
Barbu, Viorel; Munteanu, Ionuţ
1
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
43
2011
Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141
Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen
25
2011
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
20
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
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
11
2011
A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074
Barbu, Viorel
10
2011
Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116
Barbu, Viorel; da Prato, Giuseppe
8
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
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
1
2011
Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002
Barbu, Viorel
350
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
4
2010
Optimal stabilizable feedback controller for Navier-Stokes equations. Zbl 1425.35134
Barbu, Viorel
2
2010
Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers. Zbl 1205.93070
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
59
2009
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
41
2009
A PDE variational approach to image denoising and restoration. Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
25
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
18
2009
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
14
2009
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
13
2009
Strong solutions for stochastic porous media equations with jumps. Zbl 1181.60095
Barbu, Viorel; Marinelli, Carlo
5
2009
Finite-dimensional controller design for semilinear parabolic systems. Zbl 1168.35378
Yan, Y.; Coca, D.; Barbu, V.
2
2009
Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016
Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad
42
2008
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
29
2008
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
10
2008
Some results on stochastic porous media equations. Zbl 1205.60109
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
5
2008
Variational inequalities in Hilbert spaces with measures and optimal stopping problems. Zbl 1144.49006
Barbu, Viorel; Marinelli, Carlo
5
2008
Uniqueness of the generators of the 2D Euler and Navier-Stokes flows. Zbl 1157.35080
Albeverio, S.; Barbu, V.; Ferrario, B.
4
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
4
2008
Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231
Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael
2
2008
Internal optimal controller synthesis for Navier-Stokes equations. Zbl 1165.35433
Yan, Yue; Coca, D.; Barbu, V.
1
2008
...and 183 more Documents
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Cited by 2,948 Authors

133 Barbu, Viorel
61 Röckner, Michael
53 Colli, Pierluigi
39 Da Prato, Giuseppe
39 Marinoschi, Gabriela
39 Wang, Gengsheng
35 Lasiecka, Irena
31 Gilardi, Gianni
30 Papageorgiou, Nikolaos S.
25 Kunisch, Karl
23 Scarpa, Luca
23 Wang, Lijuan
22 Munteanu, Ionut
21 Gess, Benjamin
21 Sprekels, Jürgen
21 Triggiani, Roberto
20 Aniţa, Sebastian
19 Mohan, Manil Thankamani
18 Migórski, Stanisław
18 Rammaha, Mohammad A.
18 Rocca, Elisabetta
17 Luo, Zhixue
17 Raymond, Jean-Pierre
16 Balachandran, Krishnan
16 Gao, Hang
16 Rascanu, Aurel
15 Apreutesei, Narcisa C.
15 Ji, Shuguan
15 Toundykov, Daniel
14 Agarwal, Ravi P.
14 Cavalcanti, Marcelo Moreira
14 Sofonea, Mircea
14 Yao, Jen-Chih
13 Akagi, Goro
13 Cârjă, Ovidiu
13 He, Zerong
13 Khatibzadeh, Hadi
13 Liu, Hanbing
13 Liu, Wei
13 Schimperna, Giulio
12 Ceng, Lu-Chuan
12 Crandall, Michael G.
12 Hintermüller, Michael
12 Maksimov, Vyacheslav Ivanovich
12 Moroşanu, Gheorghe
12 Sritharan, Sivaguru S.
12 Wei, Li
12 Yuan, Rong
11 Aizicovici, Sergiu
11 Bonetti, Elena
11 Chueshov, Igor’ Dmitrievich
11 Di Persio, Luca
11 Fukao, Takeshi
11 Le Rousseau, Jérôme H.
11 Lovíšek, Ján
11 Park, Jong Yeoul
11 Rodrigues, Sérgio S.
11 Takahashi, Wataru
11 Visintin, Augusto
11 Zălinescu, Constantin
10 Bonaccorsi, Stefano
10 Cannarsa, Piermarco
10 Ciotir, Ioana
10 Domingos Cavalcanti, Valéria Neves
10 Ezzinbi, Khalil
10 Hirano, Norimichi
10 Hu, Weiwei
10 Iannelli, Mimmo
10 Jeong, Jin-Mun
10 Marinelli, Carlo
10 Stefanelli, Ulisse
10 Tiba, Dan
10 Tubaro, Luciano
10 Valero, José
10 Vrabie, Ioan I.
9 Ahmed, Nasir Uddin
9 Ainseba, Bedr’Eddine
9 Arnăutu, Viorel
9 Asfaw, Teffera M.
9 Castaing, Charles
9 Emmrich, Etienne
9 Goreac, Dan
9 Hritonenko, Natali
9 Liu, Steve Wenbin
9 Pandolfi, Luciano
9 Sakthivel, Kumarasamy
9 Tölle, Jonas M.
8 Alduncin, Gonzalo
8 Avalos, George
8 Čanić, Sunčica
8 Chen, Qihong
8 Cordoni, Francesco Giuseppe
8 Freitas, Mirelson M.
8 Gozzi, Fausto
8 Jung, Jong Soo
8 Kim, Jong Kyu
8 Kostić, Marko
8 Lions, Pierre-Louis
8 Pavel, Nicolae H.
8 Reich, Simeon
...and 2,848 more Authors
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Cited in 409 Serials

221 Journal of Mathematical Analysis and Applications
126 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
122 Journal of Differential Equations
106 Applied Mathematics and Optimization
99 Journal of Optimization Theory and Applications
91 Numerical Functional Analysis and Optimization
63 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
57 Nonlinear Analysis. Theory, Methods & Applications
55 SIAM Journal on Control and Optimization
45 Systems & Control Letters
44 Evolution Equations and Control Theory
42 Journal of Evolution Equations
37 Journal of Functional Analysis
35 Nonlinear Analysis. Real World Applications
33 Applied Mathematics and Computation
32 Transactions of the American Mathematical Society
31 Stochastic Processes and their Applications
29 Proceedings of the American Mathematical Society
29 Discrete and Continuous Dynamical Systems
28 Applicable Analysis
27 Computers & Mathematics with Applications
27 Abstract and Applied Analysis
26 Fixed Point Theory and Applications
26 Mathematical Control and Related Fields
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
24 Discrete and Continuous Dynamical Systems. Series B
23 Mathematical Methods in the Applied Sciences
23 Journal of Inequalities and Applications
22 International Journal of Control
22 SIAM Journal on Mathematical Analysis
22 Stochastic and Partial Differential Equations. Analysis and Computations
21 Automatica
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Stochastic Analysis and Applications
19 Israel Journal of Mathematics
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 NoDEA. Nonlinear Differential Equations and Applications
19 Infinite Dimensional Analysis, Quantum Probability and Related Topics
19 Communications on Pure and Applied Analysis
18 Acta Applicandae Mathematicae
17 The Annals of Probability
17 Applications of Mathematics
17 Calculus of Variations and Partial Differential Equations
17 Set-Valued and Variational Analysis
16 Applied Mathematics Letters
16 Discrete and Continuous Dynamical Systems. Series S
15 Journal of Mathematical Physics
15 Communications in Partial Differential Equations
14 Archive for Rational Mechanics and Analysis
14 Journal of Computational and Applied Mathematics
14 Journal of Dynamical and Control Systems
14 Differential Equations
13 Rendiconti del Seminario Matematico della Università di Padova
13 MCSS. Mathematics of Control, Signals, and Systems
13 Journal of Mathematical Sciences (New York)
13 Advances in Difference Equations
12 Applied Mathematics and Mechanics. (English Edition)
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Dynamics and Differential Equations
12 Journal of Applied Mathematics and Computing
12 Mediterranean Journal of Mathematics
11 Mathematische Nachrichten
11 Mathematical Programming. Series A. Series B
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10 Zeitschrift für Analysis und ihre Anwendungen
10 Physica D
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10 Russian Mathematics
10 Topological Methods in Nonlinear Analysis
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications in Mathematical Physics
9 Czechoslovak Mathematical Journal
9 Kodai Mathematical Journal
9 Journal of Integral Equations and Applications
9 SIAM Journal on Optimization
9 Journal of Convex Analysis
9 Journal of Difference Equations and Applications
9 Nonautonomous Dynamical Systems
8 Bulletin of the Australian Mathematical Society
8 Journal of the Franklin Institute
8 Probability Theory and Related Fields
8 Mathematical and Computer Modelling
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Computational Optimization and Applications
7 Mathematical Notes
7 Nonlinearity
7 Ukrainian Mathematical Journal
7 Journal of Soviet Mathematics
7 Proceedings of the Japan Academy. Series A
7 Semigroup Forum
7 Chinese Annals of Mathematics. Series B
7 Journal of Global Optimization
7 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
7 Potential Analysis
7 Journal of Fixed Point Theory and Applications
7 Science China. Mathematics
6 Computer Methods in Applied Mechanics and Engineering
6 Inverse Problems
6 Mathematics of Computation
...and 309 more Serials
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Cited in 57 Fields

1,627 Partial differential equations (35-XX)
918 Calculus of variations and optimal control; optimization (49-XX)
672 Operator theory (47-XX)
650 Systems theory; control (93-XX)
480 Probability theory and stochastic processes (60-XX)
344 Ordinary differential equations (34-XX)
306 Fluid mechanics (76-XX)
251 Numerical analysis (65-XX)
232 Mechanics of deformable solids (74-XX)
193 Biology and other natural sciences (92-XX)
134 Dynamical systems and ergodic theory (37-XX)
132 Integral equations (45-XX)
131 Operations research, mathematical programming (90-XX)
110 Functional analysis (46-XX)
87 Classical thermodynamics, heat transfer (80-XX)
83 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
66 Global analysis, analysis on manifolds (58-XX)
46 Real functions (26-XX)
46 Difference and functional equations (39-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
34 Statistical mechanics, structure of matter (82-XX)
33 Information and communication theory, circuits (94-XX)
29 Computer science (68-XX)
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7 Number theory (11-XX)
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3 History and biography (01-XX)
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