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Barbu, Viorel

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 Author ID: barbu.viorel Published as: Barbu, Viorel; Barbu, V. Homepage: http://www.math.uaic.ro/~barbu/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 350 Publications since 1964, including 24 Books Reviewing Activity: 5 Reviews
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Co-Authors

 151 single-authored 48 Da Prato, Giuseppe 33 Röckner, Michael 14 Favini, Angelo 13 Tubaro, Luciano 12 Lasiecka, Irena 10 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 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 Aizicovici, Sergiu 2 Albeverio, Sergio A. 2 Aniţa, Sebastian 2 Bantaş, Gheorghe 2 Barbu, Tudor 2 Barron, Emmanuel Nicholas 2 Benazzoli, Chiara 2 Brzeźniak, Zdzisław 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 Cordoni, Francesco Giuseppe 1 Corduneanu, Constantin 1 Friedman, Avner 1 Georghiu, N. 1 Grasselli, Maurizio 1 Grossman, Stanley I. 1 Guo, Yanqiu 1 Hausenblas, Erika 1 Korman, Philip L. 1 Martcheva, Maia 1 Moroşanu, Gheorghe 1 Munteanu, Ionut 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
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Serials

 23 SIAM Journal on Control and Optimization 15 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Optimization 13 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 8 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 Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea 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 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 Stochastic and Partial Differential Equations. Analysis and Computations 2 Libertas Mathematica. New Series 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 şi Cercetări Matematice 1 Journal of Integral Equations 1 Memoriile Secţiilor Ştiinţifice. Seria IV 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 MCSS. Mathematics of Control, Signals, and Systems 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Journal of Nonlinear Science 1 Journal of Convex Analysis 1 Buletinul Academiei de Ştiinţe 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 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. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 1 Mathematica 1 Evolution Equations and Control Theory 1 Pure and Applied Functional Analysis 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
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Fields

 197 Partial differential equations (35-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 99 Systems theory; control (93-XX) 90 Probability theory and stochastic processes (60-XX) 89 Operator theory (47-XX) 45 Fluid mechanics (76-XX) 36 Ordinary differential equations (34-XX) 16 Integral equations (45-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 Functional analysis (46-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-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) 3 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Real functions (26-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)

Citations contained in zbMATH Open

273 Publications have been cited 4,273 times in 2,905 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
1976
Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002
Barbu, Viorel
2010
Optimal control of variational inequalities. Zbl 0574.49005
Barbu, V.
1984
Almost periodic functions. Zbl 0175.09101
Corduneanu, C.; Georghiu, N.; Barbu, V.
1968
Analysis and control of nonlinear infinite dimensional systems. Zbl 0776.49005
Barbu, Viorel
1993
Convexity and optimization in Banach spaces. 2nd rev. and extended ed. Transl. from the Romanian. Zbl 0594.49001
Barbu, V.; Precupanu, Th.
1986
Convexity and optimization on Banach spaces. Rev. and enl. translation. Zbl 0379.49010
Barbu, V.; Precupanu, Th.
1978
Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001
Barbu, Viorel; Precupanu, Teodor
2012
Optimal control of population dynamics. Zbl 0984.92022
Barbu, V.; Iannelli, M.
1999
Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017
Barbu, Viorel; Triggiani, Roberto
2004
Hamilton-Jacobi equations in Hilbert spaces. Zbl 0508.34001
Barbu, V.; Da Prato, G.
1983
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Exact controllability of the superlinear heat equation. Zbl 0964.93046
Barbu, V.
2000
Mathematical methods in optimization of differential systems. Zbl 0819.49002
Barbu, Viorel
1994
Controllability of parabolic and Navier-Stokes equations. Zbl 1010.93054
Barbu, Viorel
2002
Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto
2006
On nonlinear wave equations with degenerate damping and source terms. Zbl 1065.35193
Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A.
2005
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
2006
Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016
Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad
2008
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Stabilization of Navier-Stokes flows. Zbl 1213.76001
Barbu, Viorel
2011
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024
Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia
2001
Periodic solutions to the nonlinear one-dimensional wave equation with $$x$$-dependent coefficients. Zbl 0880.35073
Barbu, V.; Pavel, N. H.
1997
Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011
Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario
2003
A class of boundary problems for second order abstract differential equations. Zbl 0256.47052
Barbu, Viorel
1972
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
2007
Controllability of the heat equation with memory. Zbl 0990.93008
Barbu, V.; Iannelli, M.
2000
The time optimal control of Navier-Stokes equations. Zbl 0898.49011
Barbu, Viorel
1997
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
2015
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
2003
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
Boundary control problems with convex cost criterion. Zbl 0428.49015
Barbu, Viorel
1980
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
2013
A PDE variational approach to image denoising and restoration. Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
2009
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
Necessary conditions for distributed control problems governed by parabolic variational inequalities. Zbl 0474.49024
Barbu, Viorel
1981
Existence for nonlinear Volterra equations in Hilbert spaces. Zbl 0462.45021
Barbu, Viorel
1979
Continuous perturbations of nonlinear $$m$$-accretive operators in Banach spaces. Zbl 0256.47053
Barbu, V.
1972
Optimal control of Navier-Stokes equations with periodic inputs. Zbl 0914.49009
Barbu, Viorel
1998
Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141
Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen
2011
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.
2007
Nonlinear Volterra equations in a Hilbert space. Zbl 0322.45012
Barbu, Viorel
1975
Flow invariance preserving feedback controllers for the Navier-Stokes equation. Zbl 1073.93030
Barbu, V.; Sritharan, S. S.
2001
Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475
Barbu, Viorel
2013
Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients. Zbl 0896.35075
Barbu, V.; Pavel, N. H.
1996
Null controllability of nonlinear convective heat equations. Zbl 0938.93008
Aniţa, Sebastian; Barbu, Viorel
2000
Local controllability of the phase field system. Zbl 1006.35013
Barbu, Viorel
2002
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
2002
Internal stabilization of semilinear parabolic systems. Zbl 1030.35100
Barbu, V.; Wang, G.
2003
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
2011
Determining the acoustic impedance in the 1-D wave equation via an optimal control problem. Zbl 0906.49009
Barbu, V.; Pavel, N. H.
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
2009
Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100
Barbu, Viorel
2012
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2016
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2007
Sur un problème aux limites pour une classe d’équations différentielles non linéaires abstraits du deuxième ordre en t. Zbl 0237.34095
Barbu, Viorel
1972
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2016
Convexity and optimisation in Banach spaces. (Convexitate si optimizare in spatii Banach.). Zbl 0317.49011
Barbu, V.; Precupanu, Th.
1975
Nonlinear boundary-value problems for a class of hyperbolic systems. Zbl 0364.35038
Barbu, Viorel
1977
Periodic solutions to an unbounded Hamiltonian system. Zbl 0882.34065
Barbu, V.
1995
Asymptotic behavior of linear integrodifferential systems. Zbl 0253.45007
Barbu, Viorel; Grossman, Stanley I.
1972
Navier-Stokes equation with hereditary viscosity. Zbl 1040.35056
Barbu, V.; Sritharan, S. S.
2003
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
2002
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 07224963
Barbu, Viorel; Röckner, Michael
2020
Integro-differential equations in Hilbert spaces. Zbl 0366.45013
Barbu, Viorel
1973
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Exact controllability for the magnetohydrodynamic equations. Zbl 1121.93306
Barbu, Viorel; Havârneanu, Teodor; Popa, Cătălin; Sritharan, S. S.
2003
Partial differential equations and boundary value problems. Transl. from the Romanian by the author. Zbl 0898.35002
Barbu, Viorel
1998
Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
2014
Existence and asymptotic results for a system of integro-partial differential equations. Zbl 0844.35040
Aizicovici, Sergiu; Barbu, Viorel
1996
Periodic optimal control in Hilbert space. Zbl 0849.49003
Barbu, V.; Pavel, N. H.
1996
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Feedback stabilization of semilinear heat equations. Zbl 1065.93027
Barbu, V.; Wang, G.
2003
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
2012
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms. Zbl 1167.35414
Lasiecka, I.; Barbu, V.; Rammaha, M.
2005
Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. Zbl 0477.49013
Barbu, Viorel
1981
Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003
Barbu, V.; Lasiecka, I.; Triggiani, R.
2000
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
2006
Existence theorems for a class of two point boundary problems. Zbl 0295.35074
Barbu, Viorel
1975
The necessary conditions for optimal control in Hilbert spaces. Zbl 0667.49017
Barbu, V.; Barron, E. N.; Jensen, R.
1988
$$H^\infty$$-control theory of fluid dynamics. Zbl 0919.93026
Barbu, V.; Sritharan, S. S.
1998
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
2018
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
2011
Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398
Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca
2016
Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. Zbl 1238.60071
Barbu, Viorel; Röckner, Michael
2012
Semigroups of nonlinear contractions in Banach spaces. (Semigrupuri de contractii neliniare in spatii Banach.). Zbl 0276.47044
Barbu, Viorel
1974
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
2006
Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051
Barbu, Viorel
2007
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
2008
A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074
Barbu, Viorel
2011
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2011
Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise. Zbl 1267.60076
Barbu, Viorel; Brzeźniak, Zdzisław; Hausenblas, Erika; Tubaro, Luciano
2013
State constrained optimal control problems governed by semilinear equations. Zbl 0966.49016
Barbu, V.; Wang, Gengsheng
2000
The Neumann problem on unbounded domains of $$\mathbb R^d$$ and stochastic variational inequalities. Zbl 1130.35137
Barbu, Viorel; Da Prato, Giuseppe
2005
Existence for semilinear parabolic stochastic equations. Zbl 1213.35260
Barbu, Viorel
2010
Hamilton-Jacobi equations and nonlinear control problems. Zbl 0606.49020
Barbu, Viorel
1986
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
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.
2012
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 07224963
Barbu, Viorel; Röckner, Michael
2020
Optimal feedback controllers for a stochastic differential equation with reflection. Zbl 1441.49032
Barbu, Viorel
2020
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
2018
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2018
Controllability and stabilization of parabolic equations. Zbl 1417.93005
Barbu, Viorel
2018
Mild solutions to the dynamic programming equation for stochastic optimal control problems. Zbl 1400.93328
Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca
2018
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051
Barbu, Viorel; Röckner, Michael
2018
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115
Barbu, Viorel; Röckner, Michael
2018
Exact controllability of stochastic differential equations with multiplicative noise. Zbl 1408.93022
Barbu, V.; Tubaro, L.
2018
The approximation of the square root of the total variation flow. Zbl 07055960
Barbu, Viorel
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
2018
Stochastic nonlinear parabolic equations with Stratonovich gradient noise. Zbl 1404.93032
Barbu, Viorel; Brzeźniak, Zdzisław; Tubaro, Luciano
2018
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095
Barbu, Viorel; Röckner, Michael
2017
The stochastic logarithmic Schrödinger equation. Zbl 1360.60119
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2017
Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094
Barbu, Viorel; Röckner, Michael
2017
Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2017
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
The steepest descent algorithm in Wasserstein metric for the sandpile model of self-organized criticality. Zbl 1372.35125
Barbu, Viorel
2017
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2016
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2016
Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398
Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca
2016
An optimal control approach to the optical flow problem. Zbl 1327.93404
Barbu, Viorel; Marinoschi, Gabriela
2016
Generalized solutions to nonlinear Fokker-Planck equations. Zbl 1342.35395
Barbu, Viorel
2016
Measure-valued branching processes associated with Neumann nonlinear semiflows. Zbl 1381.35099
Barbu, Viorel; Beznea, Lucian
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
2016
Differential equations. Translated from the Romanian. Originally published by Junimea, Iaşi 1985. Zbl 1370.34001
Barbu, Viorel
2016
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
2015
Stochastic parabolic equations with nonlinear dynamical boundary conditions. Zbl 1332.35404
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
2015
Nonlinear parabolic flows with dynamic flux on the boundary. Zbl 1317.35113
Barbu, Viorel; Favini, Angelo; Marinoschi, Gabriela
2015
Stochastic porous media equations. Zbl 1333.60133
Barbu, Viorel
2015
Stochastic porous media equations in $$\mathbb R^d$$. Zbl 1405.76047
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2015
A stochastic heat equation with nonlinear dissipation on the boundary. Zbl 1316.60102
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
2015
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
2014
Exact null internal controllability for the heat equation on unbounded convex domains. Zbl 1282.93046
Barbu, Viorel
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
2014
Asymptotic behaviour of the two phase stochastic Stefan flows driven by multiplicative Gaussian processes. Zbl 1389.80006
Barbu, Viorel
2014
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
2013
Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475
Barbu, Viorel
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
2013
Self-organized criticality of cellular automata model; absorbtion in finite-time of supercritical region into the critical one. Zbl 1273.35158
Barbu, Viorel
2013
Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise. Zbl 1283.35062
Barbu, Viorel
2013
The internal stabilization of the Stokes-Oseen equation by feedback point controllers. Zbl 1276.93064
Barbu, Viorel
2013
Nonlinear diffusion equations in image processing. Zbl 1299.35152
Barbu, Viorel
2013
Convexity and optimization in Banach spaces. 4th updated and revised ed. Zbl 1244.49001
Barbu, Viorel; Precupanu, Teodor
2012
Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100
Barbu, Viorel
2012
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
2012
Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. Zbl 1238.60071
Barbu, Viorel; Röckner, Michael
2012
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
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.
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
2012
The stochastic reflection problem in Hilbert spaces. Zbl 1245.60072
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2012
A PDE approach to image restoration problem with observation on a meager domain. Zbl 1239.94005
Barbu, Tudor; Barbu, Viorel
2012
Localization of solutions to stochastic porous media equations: finite speed of propagation. Zbl 1246.60085
Barbu, Viorel; Roeckner, Michael
2012
The fast logarithmic equation with multiplicative Gaussian noise. Zbl 1289.60108
Barbu, Viorel
2012
Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension. Zbl 1259.93093
Barbu, Viorel; Munteanu, Ionuţ
2012
Stabilization of Navier-Stokes flows. Zbl 1213.76001
Barbu, Viorel
2011
Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141
Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen
2011
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
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
2011
A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074
Barbu, Viorel
2011
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2011
Internal stabilization by noise of the Navier-Stokes equation. Zbl 1215.35116
Barbu, Viorel; da Prato, Giuseppe
2011
The internal stabilization by noise of the linearized Navier-Stokes equation. Zbl 1210.35302
Barbu, Viorel
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
2011
Nonlinear differential equations of monotone types in Banach spaces. Zbl 1197.35002
Barbu, Viorel
2010
Existence for semilinear parabolic stochastic equations. Zbl 1213.35260
Barbu, Viorel
2010
Stabilization of a plane periodic channel flow by noise wall normal controllers. Zbl 1206.35040
Barbu, Viorel
2010
Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. Zbl 1201.60062
Barbu, Viorel; da Prato, Giuseppe
2010
Optimal stabilizable feedback controller for Navier-Stokes equations. Zbl 1425.35134
Barbu, Viorel
2010
Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers. Zbl 1205.93070
Barbu, Viorel
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.
2010
Stochastic porous medium equations with flux boundary conditions. Zbl 1283.60091
Barbu, Viorel
2010
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Stochastic porous media equations and self-organized criticality. Zbl 1176.35182
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
A PDE variational approach to image denoising and restoration. Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
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
2009
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Strong solutions for stochastic porous media equations with jumps. Zbl 1181.60095
Barbu, Viorel; Marinelli, Carlo
2009
Finite-dimensional controller design for semilinear parabolic systems. Zbl 1168.35378
Yan, Y.; Coca, D.; Barbu, V.
2009
Smoothness of weak solutions to a nonlinear fluid-structure interaction model. Zbl 1147.74016
Barbu, Viorel; Grujić, Zoran; Lasiecka, Irena; Tuffaha, Amjad
2008
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
2008
Some results on stochastic porous media equations. Zbl 1205.60109
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
Variational inequalities in Hilbert spaces with measures and optimal stopping problems. Zbl 1144.49006
Barbu, Viorel; Marinelli, Carlo
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
2008
Uniqueness of the generators of the 2D Euler and Navier-Stokes flows. Zbl 1157.35080
Albeverio, S.; Barbu, V.; Ferrario, B.
2008
Self-organized criticality via stochastic partial differential equations. Zbl 1199.60231
Barbu, Viorel; Blanchard, Philippe; Da Prato, Giuseppe; Röckner, Michael
2008
Internal optimal controller synthesis for Navier-Stokes equations. Zbl 1165.35433
Yan, Yue; Coca, D.; Barbu, V.
2008
The Kolmogorov operator associated with a stochastic variational inequality in $$\mathbb R^n$$ with convex potential. Zbl 1174.60039
Barbu, Viorel; Da Prato, Giuseppe
2008
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
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
2007
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.
2007
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
2007
Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051
Barbu, Viorel
2007
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
2007
Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto
2006
...and 173 more Documents
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Cited by 2,703 Authors

 129 Barbu, Viorel 58 Röckner, Michael 49 Colli, Pierluigi 39 Da Prato, Giuseppe 39 Wang, Gengsheng 37 Marinoschi, Gabriela 33 Lasiecka, Irena 30 Gilardi, Gianni 30 Papageorgiou, Nikolaos S. 23 Kunisch, Karl 21 Scarpa, Luca 21 Sprekels, Jürgen 21 Wang, Lijuan 20 Gess, Benjamin 20 Munteanu, Ionut 19 Aniţa, Sebastian 18 Triggiani, Roberto 17 Luo, Zhixue 17 Rammaha, Mohammad A. 17 Raymond, Jean-Pierre 17 Rocca, Elisabetta 16 Balachandran, Krishnan 16 Gao, Hang 16 Rascanu, Aurel 15 Apreutesei, Narcisa C. 15 Toundykov, Daniel 14 Agarwal, Ravi P. 14 Ji, Shuguan 14 Migórski, Stanisław 14 Yao, Jen-Chih 13 Cavalcanti, Marcelo Moreira 13 He, Zerong 13 Khatibzadeh, Hadi 13 Liu, Hanbing 13 Sofonea, Mircea 12 Akagi, Goro 12 Cârjă, Ovidiu 12 Ceng, Lu-Chuan 12 Crandall, Michael G. 12 Maksimov, Vyacheslav Ivanovich 12 Mohan, Manil Thankamani 12 Moroşanu, Gheorghe 12 Schimperna, Giulio 12 Wei, Li 12 Yuan, Rong 11 Aizicovici, Sergiu 11 Bonetti, Elena 11 Chueshov, Igor’ Dmitrievich 11 Le Rousseau, Jérôme H. 11 Lovíšek, Ján 11 Sritharan, Sivaguru S. 11 Takahashi, Wataru 11 Zălinescu, Constantin 10 Bonaccorsi, Stefano 10 Cannarsa, Piermarco 10 Ezzinbi, Khalil 10 Fukao, Takeshi 10 Hintermüller, Michael 10 Hirano, Norimichi 10 Iannelli, Mimmo 10 Liu, Wei 10 Marinelli, Carlo 10 Park, Jong Yeoul 10 Stefanelli, Ulisse 10 Tiba, Dan 10 Tubaro, Luciano 10 Valero, José 10 Visintin, Augusto 9 Ahmed, Nasir Uddin 9 Arnăutu, Viorel 9 Asfaw, Teffera M. 9 Di Persio, Luca 9 Domingos Cavalcanti, Valéria Neves 9 Emmrich, Etienne 9 Liu, Steve Wenbin 9 Pandolfi, Luciano 9 Sakthivel, Kumarasamy 9 Tölle, Jonas M. 9 Vrabie, Ioan I. 8 Ainseba, Bedr’Eddine 8 Chen, Qihong 8 Ciotir, Ioana 8 Goreac, Dan 8 Hritonenko, Natali 8 Jeong, Jin-Mun 8 Jung, Jong Soo 8 Kim, Jong Kyu 8 Lions, Pierre-Louis 8 Pavel, Nicolae H. 8 Rodrigues, Sérgio S. 8 Rudakov, Igor Alekseevich 8 Trenchea, Catalin 8 Tuffaha, Amjad M. 8 Yamazaki, Kazuo 8 Zhang, Deng 8 Zheng, Jiashan 7 Adly, Samir 7 Badra, Mehdi 7 Barbu, Tudor 7 Čanić, Sunčica ...and 2,603 more Authors
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Cited in 384 Serials

 214 Journal of Mathematical Analysis and Applications 125 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 116 Journal of Differential Equations 97 Journal of Optimization Theory and Applications 90 Numerical Functional Analysis and Optimization 82 Applied Mathematics and Optimization 61 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 57 Nonlinear Analysis. Theory, Methods & Applications 52 SIAM Journal on Control and Optimization 41 Systems & Control Letters 39 Journal of Evolution Equations 36 Journal of Functional Analysis 35 Evolution Equations and Control Theory 33 Nonlinear Analysis. Real World Applications 31 Applied Mathematics and Computation 31 Transactions of the American Mathematical Society 30 Stochastic Processes and their Applications 29 Proceedings of the American Mathematical Society 29 Discrete and Continuous Dynamical Systems 27 Abstract and Applied Analysis 26 Applicable Analysis 26 Computers & Mathematics with Applications 26 Fixed Point Theory and Applications 23 Mathematical Methods in the Applied Sciences 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Mathematical Control and Related Fields 21 SIAM Journal on Mathematical Analysis 21 Journal of Inequalities and Applications 21 Discrete and Continuous Dynamical Systems. Series B 19 Israel Journal of Mathematics 19 Annali di Matematica Pura ed Applicata. Serie Quarta 19 NoDEA. Nonlinear Differential Equations and Applications 18 International Journal of Control 18 Stochastic Analysis and Applications 18 Infinite Dimensional Analysis, Quantum Probability and Related Topics 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Stochastic and Partial Differential Equations. Analysis and Computations 16 Set-Valued and Variational Analysis 15 The Annals of Probability 15 Automatica 15 Applied Mathematics Letters 15 Communications in Partial Differential Equations 15 Calculus of Variations and Partial Differential Equations 15 Communications on Pure and Applied Analysis 14 Archive for Rational Mechanics and Analysis 14 Journal of Mathematical Physics 14 Applications of Mathematics 14 Journal of Dynamical and Control Systems 14 Differential Equations 13 Journal of Computational and Applied Mathematics 13 Rendiconti del Seminario Matematico della Università di Padova 13 Applied Mathematics and Mechanics. (English Edition) 13 Advances in Difference Equations 12 Acta Applicandae Mathematicae 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 MCSS. Mathematics of Control, Signals, and Systems 12 Journal of Dynamics and Differential Equations 12 Journal of Mathematical Sciences (New York) 12 Discrete and Continuous Dynamical Systems. Series S 11 Mathematische Nachrichten 11 Acta Mathematica Sinica. English Series 11 Mediterranean Journal of Mathematics 10 Zeitschrift für Analysis und ihre Anwendungen 10 Physica D 10 Mathematical Programming. Series A. Series B 10 Russian Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Journal of Applied Mathematics and Computing 9 Communications in Mathematical Physics 9 Czechoslovak Mathematical Journal 9 Kodai Mathematical Journal 9 Optimization 9 Journal of Integral Equations and Applications 9 SIAM Journal on Optimization 9 Journal of Difference Equations and Applications 9 Boundary Value Problems 9 Nonautonomous Dynamical Systems 8 Bulletin of the Australian Mathematical Society 8 Probability Theory and Related Fields 8 Mathematical and Computer Modelling 8 Topological Methods in Nonlinear Analysis 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 7 Journal of Convex Analysis 7 Journal of Fixed Point Theory and Applications 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of the Franklin Institute 6 Mathematics of Computation 6 Integral Equations and Operator Theory 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Quarterly of Applied Mathematics ...and 284 more Serials
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Cited in 56 Fields

 1,493 Partial differential equations (35-XX) 859 Calculus of variations and optimal control; optimization (49-XX) 639 Operator theory (47-XX) 589 Systems theory; control (93-XX) 432 Probability theory and stochastic processes (60-XX) 333 Ordinary differential equations (34-XX) 278 Fluid mechanics (76-XX) 230 Numerical analysis (65-XX) 217 Mechanics of deformable solids (74-XX) 174 Biology and other natural sciences (92-XX) 129 Integral equations (45-XX) 123 Dynamical systems and ergodic theory (37-XX) 117 Operations research, mathematical programming (90-XX) 106 Functional analysis (46-XX) 82 Classical thermodynamics, heat transfer (80-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Global analysis, analysis on manifolds (58-XX) 45 Difference and functional equations (39-XX) 43 Real functions (26-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 32 Statistical mechanics, structure of matter (82-XX) 31 Information and communication theory, circuits (94-XX) 23 Abstract harmonic analysis (43-XX) 23 Computer science (68-XX) 17 Approximations and expansions (41-XX) 17 General topology (54-XX) 16 Measure and integration (28-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Potential theory (31-XX) 13 Mechanics of particles and systems (70-XX) 13 Optics, electromagnetic theory (78-XX) 12 Statistics (62-XX) 10 Quantum theory (81-XX) 10 Geophysics (86-XX) 8 Functions of a complex variable (30-XX) 8 Convex and discrete geometry (52-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 General and overarching topics; collections (00-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

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