## Barbu, Viorel

Compute Distance To:
 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: 352 Publications since 1964, including 20 Books 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 5 Reviews Co-Authors: 84 Co-Authors with 205 Joint Publications 2,469 Co-Co-Authors
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### 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
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### 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
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### Fields

 203 Partial differential equations (35-XX) 102 Calculus of variations and optimal control; optimization (49-XX) 101 Systems theory; control (93-XX) 94 Probability theory and stochastic processes (60-XX) 92 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)

### 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
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. 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.
1989
Analysis and control of nonlinear infinite dimensional systems. Zbl 0776.49005
Barbu, Viorel
1993
Almost periodic functions. Zbl 0175.09101
Corduneanu, C.; Georghiu, N.; Barbu, V.
1968
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
Mathematical methods in optimization of differential systems. Zbl 0819.49002
Barbu, Viorel
1994
Exact controllability of the superlinear heat equation. Zbl 0964.93046
Barbu, V.
2000
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto
2006
Controllability of parabolic and Navier-Stokes equations. Zbl 1010.93054
Barbu, Viorel
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
2006
On nonlinear wave equations with degenerate damping and source terms. Zbl 1065.35193
Barbu, Viorel; Lasiecka, Irena; Rammaha, Mohammad A.
2005
Stabilization of Navier-Stokes flows. Zbl 1213.76001
Barbu, Viorel
2011
On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024
Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia
2001
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
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011
Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario
2003
Periodic solutions to the nonlinear one-dimensional wave equation with $$x$$-dependent coefficients. Zbl 0880.35073
Barbu, V.; Pavel, N. H.
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
2007
Controllability of the heat equation with memory. Zbl 0990.93008
Barbu, V.; Iannelli, M.
2000
A class of boundary problems for second order abstract differential equations. Zbl 0256.47052
Barbu, Viorel
1972
The time optimal control of Navier-Stokes equations. Zbl 0898.49011
Barbu, Viorel
1997
Feedback stabilization of Navier-Stokes equations. Zbl 1076.93037
Barbu, Viorel
2003
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122
Barbu, Viorel; Röckner, Michael
2015
Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2008
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216
Barbu, Viorel; Röckner, Michael
2020
Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202
Barbu, Viorel; Röckner, Michael
2013
Boundary control problems with convex cost criterion. Zbl 0428.49015
Barbu, Viorel
1980
A PDE variational approach to image denoising and restoration. Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
2009
Boundary stabilization of equilibrium solutions to parabolic equations. Zbl 1369.93475
Barbu, Viorel
2013
Internal exponential stabilization to a nonstationary solution for 3D Navier-Stokes equations. Zbl 1231.35141
Barbu, Viorel; Rodrigues, Sérgio S.; Shirikyan, Armen
2011
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
Stochastic porous media equations. Zbl 1355.60004
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2016
Optimal control of Navier-Stokes equations with periodic inputs. Zbl 0914.49009
Barbu, Viorel
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.
2007
Existence for nonlinear Volterra equations in Hilbert spaces. Zbl 0462.45021
Barbu, Viorel
1979
Necessary conditions for distributed control problems governed by parabolic variational inequalities. Zbl 0474.49024
Barbu, Viorel
1981
Flow invariance preserving feedback controllers for the Navier-Stokes equation. Zbl 1073.93030
Barbu, V.; Sritharan, S. S.
2001
Nonlinear Volterra equations in a Hilbert space. Zbl 0322.45012
Barbu, Viorel
1975
Continuous perturbations of nonlinear $$m$$-accretive operators in Banach spaces. Zbl 0256.47053
Barbu, V.
1972
Null controllability of nonlinear convective heat equations. Zbl 0938.93008
Aniţa, Sebastian; Barbu, Viorel
2000
Internal stabilization of semilinear parabolic systems. Zbl 1030.35100
Barbu, V.; Wang, G.
2003
Stabilization of Navier-Stokes equations by oblique boundary feedback controllers. Zbl 1292.93100
Barbu, Viorel
2012
On a random scaled porous media equation. Zbl 1238.60070
Barbu, Viorel; Röckner, Michael
2011
The stochastic nonlinear damped wave equation. Zbl 1024.47025
Barbu, Viorel; Da Prato, Giuseppe
2002
Local controllability of the phase field system. Zbl 1006.35013
Barbu, Viorel
2002
Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients. Zbl 0896.35075
Barbu, V.; Pavel, N. H.
1996
Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091
Barbu, Viorel; Röckner, Michael
2018
Determining the acoustic impedance in the 1-D wave equation via an optimal control problem. Zbl 0906.49009
Barbu, V.; Pavel, N. H.
1997
Stochastic wave equations with dissipative damping. Zbl 1122.60056
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano
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
2009
Stochastic nonlinear Schrödinger equations. Zbl 1336.60118
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2016
Nonlinear boundary-value problems for a class of hyperbolic systems. Zbl 0364.35038
Barbu, Viorel
1977
Navier-Stokes equation with hereditary viscosity. Zbl 1040.35056
Barbu, V.; Sritharan, S. S.
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
1972
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
The two phase stochastic Stefan problem. Zbl 1101.60040
Barbu, Viorel; Da Prato, Giuseppe
2002
Periodic solutions to an unbounded Hamiltonian system. Zbl 0882.34065
Barbu, V.
1995
Convexity and optimisation in Banach spaces. (Convexitate si optimizare in spatii Banach.). Zbl 0317.49011
Barbu, V.; Precupanu, Th.
1975
Asymptotic behavior of linear integrodifferential systems. Zbl 0253.45007
Barbu, Viorel; Grossman, Stanley I.
1972
Stochastic nonlinear diffusion equations with singular diffusivity. Zbl 1203.60079
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
Optimal control of stochastic Fitzhugh-Nagumo equation. Zbl 1338.93398
Barbu, Viorel; Cordoni, Francesco; Di Persio, Luca
2016
Integro-differential equations in Hilbert spaces. Zbl 0366.45013
Barbu, Viorel
1973
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
Finite time extinction for solutions to fast diffusion stochastic porous media equations. Zbl 1156.60040
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
2009
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
$$H^\infty$$-control theory of fluid dynamics. Zbl 0919.93026
Barbu, V.; Sritharan, S. S.
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.
2005
Ergodicity for nonlinear stochastic equations in variational formulation. Zbl 1109.35123
Barbu, Viorel; Da Prato, Giuseppe
2006
Feedback stabilization of semilinear heat equations. Zbl 1065.93027
Barbu, V.; Wang, G.
2003
Existence and asymptotic behavior for hereditary stochastic evolution equations. Zbl 1304.60064
Barbu, Viorel; Bonaccorsi, Stefano; Tubaro, Luciano
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.
2012
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
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
2011
Stabilization of a plane channel flow by wall normal controllers. Zbl 1124.35051
Barbu, Viorel
2007
Boundary control problems with nonlinear state equation. Zbl 0493.49024
Barbu, Viorel
1982
Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003
Barbu, V.; Lasiecka, I.; Triggiani, R.
2000
Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. Zbl 0477.49013
Barbu, Viorel
1981
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
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
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
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
2007
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
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
2013
Semigroups of nonlinear contractions in Banach spaces. (Semigrupuri de contractii neliniare in spatii Banach.). Zbl 0276.47044
Barbu, Viorel
1974
The generator of the transition semigroup corresponding to a stochastic variational inequality. Zbl 1155.60034
Barbu, Viorel; da Prato, Giuseppe
2008
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2018
An optimal control approach to the optical flow problem. Zbl 1327.93404
Barbu, Viorel; Marinoschi, Gabriela
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
Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415
Barbu, Viorel; Röckner, Michael
2021
The controllability of Fokker-Planck equations with reflecting boundary conditions and controllers in diffusion term. Zbl 1460.93013
Barbu, Viorel
2021
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 07450815
Barbu, Viorel; Röckner, Michael
2021
From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216
Barbu, Viorel; Röckner, Michael
2020
Optimal feedback controllers for a stochastic differential equation with reflection. Zbl 1441.49032
Barbu, Viorel
2020
Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2020
Feedback optimal controllers for the Heston model. Zbl 1440.49042
Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca
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
Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051
Barbu, Viorel; Röckner, Michael
2018
Mild solutions to the dynamic programming equation for stochastic optimal control problems. Zbl 1400.93328
Barbu, Viorel; Benazzoli, Chiara; Di Persio, Luca
2018
Exact controllability of stochastic differential equations with multiplicative noise. Zbl 1408.93022
Barbu, V.; Tubaro, L.
2018
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115
Barbu, Viorel; Röckner, Michael
2018
Stochastic nonlinear parabolic equations with Stratonovich gradient noise. Zbl 1404.93032
Barbu, Viorel; Brzeźniak, Zdzisław; Tubaro, Luciano
2018
The approximation of the square root of the total variation flow. Zbl 1469.35125
Barbu, Viorel
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
2018
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088
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
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
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
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
Measure-valued branching processes associated with Neumann nonlinear semiflows. Zbl 1381.35099
Barbu, Viorel; Beznea, Lucian
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 porous media equations in $$\mathbb R^d$$. Zbl 1405.76047
Barbu, Viorel; Röckner, Michael; Russo, Francesco
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
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 finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Zbl 1286.60057
Barbu, Viorel; Röckner, Michael
2013
Nonlinear diffusion equations in image processing. Zbl 1299.35152
Barbu, Viorel
2013
The internal stabilization of the Stokes-Oseen equation by feedback point controllers. Zbl 1276.93064
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
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
Optimal control approach to nonlinear diffusion equations driven by Wiener noise. Zbl 1237.93177
Barbu, Viorel
2012
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
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
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
The stochastic reflection problem with multiplicative noise. Zbl 1239.35191
Barbu, Viorel
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
Probabilistic representation for solutions of an irregular porous media type equation: The degenerate case. Zbl 1227.60088
Barbu, Viorel; Röckner, Michael; Russo, Francesco
2011
A variational approach to stochastic nonlinear parabolic problems. Zbl 1235.60074
Barbu, Viorel
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
Internal stabilization of the Oseen-Stokes equations by Stratonovich noise. Zbl 1251.93105
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
Uniqueness of the generators of the 2D Euler and Navier-Stokes flows. Zbl 1157.35080
Albeverio, S.; Barbu, V.; Ferrario, B.
2008
The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. Zbl 1142.76355
Barbu, Viorel; da Prato, Giuseppe
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
...and 183 more Documents
all top 5

### 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 11 Acta Mathematica Sinica. English Series 11 Boundary Value Problems 10 Zeitschrift für Analysis und ihre Anwendungen 10 Physica D 10 Optimization 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) 23 Abstract harmonic analysis (43-XX) 18 Approximations and expansions (41-XX) 17 General topology (54-XX) 16 Measure and integration (28-XX) 16 Mechanics of particles and systems (70-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Potential theory (31-XX) 13 Optics, electromagnetic theory (78-XX) 12 Statistics (62-XX) 12 Quantum theory (81-XX) 11 Geophysics (86-XX) 10 Functions of a complex variable (30-XX) 10 Convex and discrete geometry (52-XX) 8 Topological groups, Lie groups (22-XX) 7 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 Algebraic topology (55-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 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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