Edit Profile (opens in new tab) Trélat, Emmanuel Co-Author Distance Author ID: trelat.emmanuel Published as: Trélat, Emmanuel; Trélat, E.; Trelat, E.; Trelat, Emmanuel; Treĺat, Emmanuel more...less Homepage: https://www.ljll.math.upmc.fr/trelat/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Awards: Felix Klein Prize (2012) Documents Indexed: 162 Publications since 1998, including 2 Books and 24 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 124 Co-Authors with 153 Joint Publications 3,792 Co-Co-Authors all top 5 Co-Authors 16 single-authored 22 Zuazua, Enrique 20 Privat, Yannick 12 Bonnard, Bernard 11 Bourdin, Loïc 10 Piccoli, Benedetto 9 Prieur, Christophe 8 Caillau, Jean-Baptiste 6 Caponigro, Marco 6 Cerf, Max 5 Bonalli, Riccardo 5 Colin de Verdière, Yves 5 Hérissé, Bruno 5 Hillairet, Luc 5 Humbert, Emmanuel 5 Pouchol, Camille 5 Rossi, Francesco 5 Zhu, Jiamin 5 Zidani, Hasnaa 4 Arguillère, Sylvain 4 Chitour, Yacine 4 Coron, Jean-Michel 4 Haberkorn, Thomas 4 Labbé, Stéphane 3 Bergounioux, Maïtine 3 Chyba, Monique 3 Faubourg, Ludovic 3 Jean, Frédéric 3 Lohéac, Jérôme 3 McQuade, Sean T. 3 Silva, Cristiana J. 3 Trouvé, Alain 3 Younes, Laurent 2 Abraham, Romain 2 Askovic, Veljko 2 Bresch-Pietri, Delphine 2 Carbou, Gilles 2 Clairambault, Jean 2 Duteil, Nastassia Pouradier 2 Fornasier, Massimo 2 Kalise, Dante 2 Lance, Gontran 2 Launay, Geneviève 2 Lhachemi, Hugo 2 Lorz, Alexander 2 Münch, Arnaud 2 Renault, Vincent 2 Rifford, Ludovic 2 Sugny, Dominique 2 Thieullen, Michèle 2 Wang, Gengsheng 2 Xu, Yashan 1 Abou-Kandil, Hisham 1 Abraham, Isabelle 1 Aftalion, Amandine 1 Alabau-Boussouira, Fatiha 1 Allred, Sarah R. 1 Archambeau, Grégory 1 Augros, Philippe 1 Aydoğdu, Aylin 1 Barbour, William 1 Barles, Guy 1 Beauchard, Karine 1 Bonnans, Joseph Frédéric 1 Boudin, Laurent 1 Bourgeois, Éric 1 Briani, Ariela 1 Campos, Cédric Martínez 1 Carlier, Guillaume 1 Carrillo de la Plata, José Antonio 1 Casas, Eduardo 1 Chisholm, Rebecca H. 1 Chupin, Maxime 1 de Teresa, Luz 1 Després, Bruno 1 Díaz, Mateo 1 Fédération Denis Poisson 1 Ferretti, Roberto Giorgio 1 Ghezzi, Roberta 1 Glowinski, Roland 1 Grüne, Lars 1 Gugat, Martin 1 Handschuh, David-Alexis 1 Hannani, Amirali 1 Heinkenschloss, Matthias 1 Henrion, Didier 1 Herzog, Roland 1 Jounieaux, Pierre 1 Jungers, Marc 1 Lasserre, Jean-Bernard 1 Le Pennec, Erwan 1 Le Rousseau, Jérôme H. 1 Lebeau, Gilles 1 Leugering, Günter 1 Lonay, G. 1 Lorenzi, Tommaso 1 Luo, Qi 1 Martinon, Pierre 1 Mazari-Fouquer, Idriss 1 Merrill, Nathaniel J. 1 Ober-Blöbaum, Sina ...and 24 more Co-Authors all top 5 Serials 16 SIAM Journal on Control and Optimization 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 IEEE Transactions on Automatic Control 5 Systems & Control Letters 5 Mathematical Control and Related Fields 4 MCSS. Mathematics of Control, Signals, and Systems 4 Journal of Dynamical and Control Systems 3 Automatica 3 Optimal Control Applications & Methods 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Biology 2 Applied Mathematics and Optimization 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of Difference Equations and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Handbook of Numerical Analysis 2 Networks and Heterogeneous Media 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Control and Cybernetics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Boletim da Sociedade Portuguesa de Matemática 1 Communications in Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Mathématiques & Applications (Berlin) 1 Journal of Biological Dynamics 1 SIAM Journal on Imaging Sciences 1 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Matapli 1 MathematicS In Action 1 Pacific Journal of Mathematics for Industry 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Pure and Applied Functional Analysis 1 Pure and Applied Analysis 1 Annales Henri Lebesgue all top 5 Fields 86 Calculus of variations and optimal control; optimization (49-XX) 82 Systems theory; control (93-XX) 50 Partial differential equations (35-XX) 17 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 14 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 11 Biology and other natural sciences (92-XX) 7 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,848 times in 1,103 Documents Cited by ▼ Year ▼ The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010 Trélat, Emmanuel; Zuazua, Enrique 83 2015 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193 Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 70 2008 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011 Coron, Jean-Michel; Trélat, Emmanuel 67 2004 Sparse stabilization and control of alignment models. Zbl 1331.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 57 2015 Optimal control. Theory and applications. (Contrôle optimal. Théorie et applications.) Zbl 1112.49001 Trélat, Emmanuel 53 2005 Optimal control and applications to aerospace: some results and challenges. Zbl 1257.49019 Trélat, E. 49 2012 Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 48 2013 Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230 Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 46 2015 Uniform controllability of semidiscrete approximations of parabolic control systems. Zbl 1129.93324 Labbé, Stéphane; Trélat, Emmanuel 43 2006 Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014 Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel 41 2007 Genericity results for singular curves. Zbl 1102.53019 Chitour, Y.; Jean, F.; Trélat, E. 39 2006 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 37 2015 Feedback stabilization of a 1-D linear reaction-diffusion equation with delay boundary control. Zbl 1482.93476 Prieur, Christophe; Trélat, Emmanuel 35 2019 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254 Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 34 2017 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039 Coron, Jean-Michel; Trélat, Emmanuel 33 2006 Morse-Sard type results in sub-Riemannian geometry. Zbl 1069.53033 Rifford, L.; Trélat, E. 33 2005 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 32 2018 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 32 2013 Singular trajectories of control-affine systems. Zbl 1157.49041 Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel 31 2008 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 30 2017 Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103 Pignotti, Cristina; Trélat, Emmanuel 29 2018 Optimal observation of the one-dimensional wave equation. Zbl 1302.93052 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 29 2013 Pontryagin maximum principle for finite dimensional nonlinear optimal control problems on time scales. Zbl 1282.49016 Bourdin, Loïc; Trélat, Emmanuel 29 2013 Some properties of the value function and its level sets for affine control systems with quadratic cost. Zbl 0964.49021 Trélat, E. 28 2000 Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case. Zbl 1388.35137 De Verdière, Yves Colin; Hillairet, Luc; Trélat, Emmanuel 27 2018 Integral and measure-turnpike properties for infinite-dimensional optimal control systems. Zbl 1394.49018 Trélat, Emmanuel; Zhang, Can 26 2018 Shape deformation analysis from the optimal control viewpoint. Zbl 1319.49064 Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent 25 2015 Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2016 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012 Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 24 2016 Control of travelling walls in a ferromagnetic nanowire. Zbl 1310.82059 Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel 23 2008 Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014 Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E. 23 2003 Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263 Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel 20 2018 Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031 Bourdin, Loïc; Trélat, Emmanuel 20 2016 Smooth regularization of bang-bang optimal control problems. Zbl 1368.49029 Silva, Cristiana; Trélat, Emmanuel 19 2010 Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620 Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel 19 2019 Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001 Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel 17 2006 Convergence results for smooth regularizations of hybrid nonlinear optimal control problems. Zbl 1232.49004 Haberkorn, T.; Trélat, E. 17 2011 Min-max and min-min Stackelberg strategies with closed-loop information structure. Zbl 1228.91019 Jungers, M.; Trelat, E.; Abou-Kandil, H. 17 2011 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011 Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 17 2008 Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037 Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 16 2017 Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155 Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel 16 2017 PI regulation of a reaction-diffusion equation with delayed boundary control. Zbl 07352210 Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel 15 2021 Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011 Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan 15 2020 Impulse and sampled-data optimal control of heat equations, and error estimates. Zbl 1370.35158 Trélat, Emmanuel; Wang, Lijuan; Zhang, Yubiao 14 2016 On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034 Bonnard, B.; Trélat, E. 14 2001 Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014 Bonnard, B.; Caillau, J.-B.; Trélat, E. 14 2005 Global subanalytic solutions of Hamilton–Jacobi type equations. Zbl 1094.35020 Trélat, Emmanuel 14 2006 Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 14 2015 Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161 Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique 13 2019 General Cauchy-Lipschitz theory for \(\Delta\)-Cauchy problems with Carathéodory dynamics on time scales. Zbl 1319.34158 Bourdin, Loïc; Trélat, Emmanuel 12 2014 Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 12 2018 Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037 Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel 11 2018 Allee optimal control of a system in ecology. Zbl 1411.93198 Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique 11 2018 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027 Bonnans, F.; Martinon, P.; Trélat, E. 11 2009 New formulation of predictors for finite-dimensional linear control systems with input delay. Zbl 1386.93127 Bresch-Pietri, Delphine; Prieur, Christophe; Trélat, Emmanuel 11 2018 Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 11 2017 Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. Zbl 1347.49038 Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max 10 2016 Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173 Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel 10 2012 On the stabilization problem for nonholonomic distributions. Zbl 1194.49070 Rifford, Ludovic; Trélat, Emmanuel 10 2009 Quasi-optimal robust stabilization of control systems. Zbl 1127.93035 Prieur, Christophe; Trélat, Emmanuel 10 2006 Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095 Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 9 2017 Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory. Zbl 1371.93123 Bourdin, Loïc; Trélat, Emmanuel 9 2017 Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Zbl 1064.49030 Bonnard, B.; Faubourg, L.; Trelat, E. 9 2005 Robust optimal stabilization of the brockett integrator via a hybrid feedback. Zbl 1102.93034 Prieur, C.; Trélat, E. 9 2005 Minimum time control of the rocket attitude reorientation associated with orbit dynamics. Zbl 1338.49046 Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max 9 2016 Continuation from a flat to a round Earth model in the coplanar orbit transfer problem. Zbl 1277.49027 Cerf, Max; Haberkorn, Thomas; Trélat, Emmanuel 9 2012 A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images. Zbl 1216.47107 Bergounioux, M.; Trélat, E. 9 2010 Addendum to: “Pontryagin’s maximum principle for dynamic systems on time scales”. Zbl 1474.49043 Bourdin, Loïc; Stanzhytskyi, Oleksandr; Trélat, Emmanuel 8 2017 A penalization approach for tomographic reconstruction of binary axially symmetric objects. Zbl 1166.49032 Abraham, R.; Bergounioux, M.; Trélat, E. 8 2008 High order variational integrators in the optimal control of mechanical systems. Zbl 1332.65184 Campos, Cédric M.; Ober-Blöbaum, Sina; Trélat, Emmanuel 8 2015 Control of COVID-19 outbreak using an extended SEIR model. Zbl 1498.92234 McQuade, Sean T.; Weightman, Ryan; Merrill, Nathaniel J.; Yadav, Aayush; Trélat, Emmanuel; Allred, Sarah R.; Piccoli, Benedetto 7 2021 A geometric approach for optimal control of the atmospheric arc of a space shuttle. (Une approche géométrique du contrôle optimal de l’arc atmosphérique de la navette spatiale.) Zbl 1054.49027 Bonnard, Bernard; Trélat, Emmanuel 7 2002 Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360 Pouchol, Camille; Trélat, Emmanuel 7 2018 Shape turnpike for linear parabolic PDE models. Zbl 1451.93170 Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 7 2020 Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 6 2019 Smooth control of nanowires by means of a magnetic field. Zbl 1158.35321 Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel 6 2009 Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) Zbl 1038.58019 Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel 6 2003 Geometric optimal control and applications to aerospace. Zbl 1403.49003 Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max 5 2017 Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Zbl 1368.58016 Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel 5 2016 Asymptotics of accessibility sets along an abnormal trajectory. Zbl 0996.93009 Trélat, Emmanuel 5 2001 Sub-Riemannian structures on groups of diffeomorphisms. Zbl 1382.58008 Arguillère, Sylvain; Trélat, Emmanuel 5 2017 Solving chance constrained optimal control problems in aerospace via kernel density estimation. Zbl 1402.93261 Caillau, J.-B.; Cerf, M.; Sassi, A.; Trélat, E.; Zidani, H. 5 2018 Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results. (Asymptotique en temps petit de noyaux de la chaleur hypoelliptiques près de la diagonale, nilpotentisation et résutats liés.) Zbl 1484.35159 Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel 5 2021 Optimal shape design for 2D heat equations in large time. Zbl 1474.35351 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 5 2018 Asymptotic approach on conjugate points for minimal time bang-bang controls. Zbl 1218.49012 Silva, C.; Trélat, E. 5 2010 Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via optogenetics. Zbl 1376.93118 Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel 4 2017 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030 Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning 4 2017 Constructive exact control of semilinear 1D wave equations by a least-squares approach. Zbl 1485.93074 Münch, Arnaud; Trélat, Emmanuel 4 2022 Controllability of partial differential equations. Zbl 1217.93030 Chitour, Yacine; Trélat, Emmanuel 4 2006 Registration of multiple shapes using constrained optimal control. Zbl 1352.94005 Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent 4 2016 Controllablity of Couette flows. Zbl 1129.76019 Schmidt, Michael; Trélat, Emmanuel 4 2006 Minimal time spiking in various ChR2-controlled neuron models. Zbl 1383.49054 Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel 3 2018 Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. Zbl 0980.53043 Bonnard, B.; Chyba, M.; Trelat, E. 3 1998 Non-subanalyticity of sub-Riemannian Martinet spheres. Zbl 0999.53026 Trélat, Emmanuel 3 2001 Variational methods for tomographic reconstruction with few views. Zbl 1408.49020 Bergounioux, Maïtine; Abraham, Isabelle; Abraham, Romain; Carlier, Guillaume; Le Pennec, Erwan; Trélat, Emmanuel 3 2018 Eight-shaped Lissajous orbits in the Earth-Moon system. Zbl 1238.70023 Archambeau, Grégory; Augros, Philippe; Trélat, Emmanuel 3 2011 Value function for regional control problems via dynamic programming and Pontryagin maximum principle. Zbl 1418.49022 Barles, Guy; Briani, Ariela; Trélat, Emmanuel 3 2018 Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087 Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto 3 2022 Optimal control of a space shuttle, and numerical simulations. Zbl 1062.49033 Trélat, Emmanuel 3 2003 Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 2 2019 Quantum limits on product manifolds. Zbl 1516.58010 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 1 2023 Constructive exact control of semilinear 1D wave equations by a least-squares approach. Zbl 1485.93074 Münch, Arnaud; Trélat, Emmanuel 4 2022 Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087 Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto 3 2022 Proportional integral regulation control of a one-dimensional semilinear wave equation. Zbl 1481.35266 Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel 2 2022 Numerical issues and turnpike phenomenon in optimal shape design. Zbl 1487.49050 Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 1 2022 Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions. Zbl 1505.34082 Boudin, Laurent; Salvarani, Francesco; Trélat, Emmanuel 1 2022 Controlling swarms toward flocks and mills. Zbl 1496.93019 Carrillo, José A.; Kalise, Dante; Rossi, Francesco; Trélat, Emmanuel 1 2022 PI regulation of a reaction-diffusion equation with delayed boundary control. Zbl 07352210 Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel 15 2021 Control of COVID-19 outbreak using an extended SEIR model. Zbl 1498.92234 McQuade, Sean T.; Weightman, Ryan; Merrill, Nathaniel J.; Yadav, Aayush; Trélat, Emmanuel; Allred, Sarah R.; Piccoli, Benedetto 7 2021 Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results. (Asymptotique en temps petit de noyaux de la chaleur hypoelliptiques près de la diagonale, nilpotentisation et résutats liés.) Zbl 1484.35159 Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel 5 2021 Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 2 2021 Pace and motor control optimization for a runner. Zbl 1467.92025 Aftalion, Amandine; Trélat, Emmanuel 2 2021 Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011 Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan 15 2020 Shape turnpike for linear parabolic PDE models. Zbl 1451.93170 Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 7 2020 Optimal control of endoatmospheric launch vehicle systems: geometric and computational issues. Zbl 07256359 Bonalli, Riccardo; Hérissé, Bruno; Trélat, Emmanuel 2 2020 Feedback stabilization of a 1-D linear reaction-diffusion equation with delay boundary control. Zbl 1482.93476 Prieur, Christophe; Trélat, Emmanuel 35 2019 Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620 Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel 19 2019 Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161 Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique 13 2019 Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 6 2019 Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 2 2019 Continuity of Pontryagin extremals with respect to delays in nonlinear optimal control. Zbl 1412.49045 Bonalli, Riccardo; Hérissé, Bruno; Trélat, Emmanuel 2 2019 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 32 2018 Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103 Pignotti, Cristina; Trélat, Emmanuel 29 2018 Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case. Zbl 1388.35137 De Verdière, Yves Colin; Hillairet, Luc; Trélat, Emmanuel 27 2018 Integral and measure-turnpike properties for infinite-dimensional optimal control systems. Zbl 1394.49018 Trélat, Emmanuel; Zhang, Can 26 2018 Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263 Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel 20 2018 Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 12 2018 Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037 Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel 11 2018 Allee optimal control of a system in ecology. Zbl 1411.93198 Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique 11 2018 New formulation of predictors for finite-dimensional linear control systems with input delay. Zbl 1386.93127 Bresch-Pietri, Delphine; Prieur, Christophe; Trélat, Emmanuel 11 2018 Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360 Pouchol, Camille; Trélat, Emmanuel 7 2018 Solving chance constrained optimal control problems in aerospace via kernel density estimation. Zbl 1402.93261 Caillau, J.-B.; Cerf, M.; Sassi, A.; Trélat, E.; Zidani, H. 5 2018 Optimal shape design for 2D heat equations in large time. Zbl 1474.35351 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 5 2018 Minimal time spiking in various ChR2-controlled neuron models. Zbl 1383.49054 Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel 3 2018 Variational methods for tomographic reconstruction with few views. Zbl 1408.49020 Bergounioux, Maïtine; Abraham, Isabelle; Abraham, Romain; Carlier, Guillaume; Le Pennec, Erwan; Trélat, Emmanuel 3 2018 Value function for regional control problems via dynamic programming and Pontryagin maximum principle. Zbl 1418.49022 Barles, Guy; Briani, Ariela; Trélat, Emmanuel 3 2018 Stabilization of semilinear PDEs, and uniform decay under discretization. Zbl 1436.35305 Trélat, Emmanuel 2 2018 Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance. Zbl 1404.92087 Almeida, Luís; Chisholm, Rebecca H.; Clairambault, Jean; Lorenzi, Tommaso; Lorz, Alexander; Pouchol, Camille; Trélat, Emmanuel 1 2018 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254 Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 34 2017 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 30 2017 Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037 Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 16 2017 Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155 Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel 16 2017 Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 11 2017 Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095 Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 9 2017 Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory. Zbl 1371.93123 Bourdin, Loïc; Trélat, Emmanuel 9 2017 Addendum to: “Pontryagin’s maximum principle for dynamic systems on time scales”. Zbl 1474.49043 Bourdin, Loïc; Stanzhytskyi, Oleksandr; Trélat, Emmanuel 8 2017 Geometric optimal control and applications to aerospace. Zbl 1403.49003 Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max 5 2017 Sub-Riemannian structures on groups of diffeomorphisms. Zbl 1382.58008 Arguillère, Sylvain; Trélat, Emmanuel 5 2017 Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via optogenetics. Zbl 1376.93118 Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel 4 2017 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030 Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning 4 2017 Low-thrust Lyapunov to Lyapunov and halo to halo missions with \(L^{2}\)-minimization. Zbl 1370.49024 Chupin, Maxime; Haberkorn, Thomas; Trélat, Emmanuel 2 2017 Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2016 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012 Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 24 2016 Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031 Bourdin, Loïc; Trélat, Emmanuel 20 2016 Impulse and sampled-data optimal control of heat equations, and error estimates. Zbl 1370.35158 Trélat, Emmanuel; Wang, Lijuan; Zhang, Yubiao 14 2016 Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. Zbl 1347.49038 Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max 10 2016 Minimum time control of the rocket attitude reorientation associated with orbit dynamics. Zbl 1338.49046 Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max 9 2016 Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Zbl 1368.58016 Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel 5 2016 Registration of multiple shapes using constrained optimal control. Zbl 1352.94005 Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent 4 2016 Randomised observation, control and stabilization of waves. Zbl 07775045 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 1 2016 The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010 Trélat, Emmanuel; Zuazua, Enrique 83 2015 Sparse stabilization and control of alignment models. Zbl 1331.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 57 2015 Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230 Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel 46 2015 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 37 2015 Shape deformation analysis from the optimal control viewpoint. Zbl 1319.49064 Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent 25 2015 Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 14 2015 High order variational integrators in the optimal control of mechanical systems. Zbl 1332.65184 Campos, Cédric M.; Ober-Blöbaum, Sina; Trélat, Emmanuel 8 2015 Optimal design of sensors for a damped wave equation. Zbl 1381.93027 Trélat, Emmanuel; Privat, Yannick 1 2015 General Cauchy-Lipschitz theory for \(\Delta\)-Cauchy problems with Carathéodory dynamics on time scales. Zbl 1319.34158 Bourdin, Loïc; Trélat, Emmanuel 12 2014 Shape deformation and optimal control. Zbl 1331.49060 Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younès, Laurent 1 2014 Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 48 2013 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 32 2013 Optimal observation of the one-dimensional wave equation. Zbl 1302.93052 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 29 2013 Pontryagin maximum principle for finite dimensional nonlinear optimal control problems on time scales. Zbl 1282.49016 Bourdin, Loïc; Trélat, Emmanuel 29 2013 Optimal control and applications to aerospace: some results and challenges. Zbl 1257.49019 Trélat, E. 49 2012 Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173 Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel 10 2012 Continuation from a flat to a round Earth model in the coplanar orbit transfer problem. Zbl 1277.49027 Cerf, Max; Haberkorn, Thomas; Trélat, Emmanuel 9 2012 Convergence results for smooth regularizations of hybrid nonlinear optimal control problems. Zbl 1232.49004 Haberkorn, T.; Trélat, E. 17 2011 Min-max and min-min Stackelberg strategies with closed-loop information structure. Zbl 1228.91019 Jungers, M.; Trelat, E.; Abou-Kandil, H. 17 2011 Eight-shaped Lissajous orbits in the Earth-Moon system. Zbl 1238.70023 Archambeau, Grégory; Augros, Philippe; Trélat, Emmanuel 3 2011 Smooth regularization of bang-bang optimal control problems. Zbl 1368.49029 Silva, Cristiana; Trélat, Emmanuel 19 2010 A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images. Zbl 1216.47107 Bergounioux, M.; Trélat, E. 9 2010 Asymptotic approach on conjugate points for minimal time bang-bang controls. Zbl 1218.49012 Silva, C.; Trélat, E. 5 2010 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027 Bonnans, F.; Martinon, P.; Trélat, E. 11 2009 On the stabilization problem for nonholonomic distributions. Zbl 1194.49070 Rifford, Ludovic; Trélat, Emmanuel 10 2009 Smooth control of nanowires by means of a magnetic field. Zbl 1158.35321 Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel 6 2009 On optimal control and its applications. Zbl 1207.49002 Silva, Cristiana J.; Torres, Delfim F. M.; Trélat, Emmanuel 2 2009 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193 Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 70 2008 Singular trajectories of control-affine systems. Zbl 1157.49041 Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel 31 2008 Control of travelling walls in a ferromagnetic nanowire. Zbl 1310.82059 Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel 23 2008 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011 Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 17 2008 A penalization approach for tomographic reconstruction of binary axially symmetric objects. Zbl 1166.49032 Abraham, R.; Bergounioux, M.; Trélat, E. 8 2008 Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014 Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel 41 2007 Second order optimality conditions with applications. Zbl 1163.49307 Bonnard, B.; Caillau, J.-B.; Trelat, E. 2 2007 Uniform controllability of semidiscrete approximations of parabolic control systems. Zbl 1129.93324 Labbé, Stéphane; Trélat, Emmanuel 43 2006 Genericity results for singular curves. Zbl 1102.53019 Chitour, Y.; Jean, F.; Trélat, E. 39 2006 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039 Coron, Jean-Michel; Trélat, Emmanuel 33 2006 Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001 Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel 17 2006 Global subanalytic solutions of Hamilton–Jacobi type equations. Zbl 1094.35020 Trélat, Emmanuel 14 2006 Quasi-optimal robust stabilization of control systems. Zbl 1127.93035 Prieur, Christophe; Trélat, Emmanuel 10 2006 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,460 Authors 79 Trélat, Emmanuel 45 Zuazua, Enrique 25 Bonnard, Bernard 20 Privat, Yannick 19 Piccoli, Benedetto 18 Prieur, Christophe 16 Lhachemi, Hugo 15 Münch, Arnaud 14 Grüne, Lars 13 Gugat, Martin 13 Henrion, Didier 13 Rossi, Francesco 13 Wang, Gengsheng 12 Caillau, Jean-Baptiste 10 Bellomo, Nicola 10 Bourdin, Loïc 10 Fernández-Cara, Enrique 10 Kalise, Dante 10 Kunisch, Karl 9 Albi, Giacomo 9 Barilari, Davide 9 Boarotto, Francesco 9 Fornasier, Massimo 9 Fridman, Emilia 9 Gaitsgory, Vladimir G. 9 Rizzi, Luca 8 Agrachev, Andreĭ Aleksandrovich 8 Bayen, Térence 8 Boyer, Franck 8 Katz, Rami 8 Krstić, Miroslav 8 Liu, Yicheng 8 Lohéac, Jérôme 8 Malinowska, Agnieszka Barbara 8 Rouot, Jérémy 8 Shorten, Robert N. 7 Arguillère, Sylvain 7 Bonnans, Joseph Frédéric 7 Bonnet, Benoît 7 Cannarsa, Piermarco 7 Coron, Jean-Michel 7 Faulwasser, Timm 7 Ha, Seung-Yeal 7 Keimer, Alexander 7 Lorenzi, Tommaso 7 Odzijewicz, Tatiana 7 Rifford, Ludovic 7 Schaller, Manuel 7 Trouvé, Alain 7 Vazquez, Rafael 6 Bongini, Mattia 6 Chatterjee, Debasish 6 Cots, Olivier 6 Goreac, Dan 6 Hernández-Santamaría, Víctor 6 Korda, Milan 6 Pflug, Lukas 6 Pighin, Dario 6 Pouchol, Camille 6 Ruiz-Balet, Domènec 6 Shvartsman, Ilya A. 6 Sigalotti, Mario 6 Wang, Lijuan 6 Xu, Yashan 6 Yu, Huaiqiang 5 Aronna, María Soledad 5 Beauchard, Karine 5 Bergounioux, Maïtine 5 Boscain, Ugo 5 Brezzi, Franco 5 Cavalcanti, Marcelo Moreira 5 Charon, Nicolas 5 Chitour, Yacine 5 Dubey, Shruti A. 5 Duteil, Nastassia Pouradier 5 Dwivedi, Sharad 5 Gris, Barbara 5 Haskovec, Jan 5 Herty, Michael Matthias 5 Jean, Frédéric 5 Léautaud, Matthieu 5 Letrouit, Cyril 5 Mairet, Francis 5 Marigonda, Antonio 5 Martinon, Pierre 5 Qi, Jie 5 Shamsi, Mostafa 5 Souza, Diego A. 5 Vittone, Davide 5 Yang, Donghui 5 Younes, Laurent 5 Zhang, Xu 5 Zhang, Yubiao 4 Albano, Paolo 4 Beschastnyi, Ivan Yu. 4 Bressan, Alberto 4 Burman, Erik 4 Caponigro, Marco 4 Cavagnari, Giulia 4 Cerf, Max ...and 1,360 more Authors all top 5 Cited in 248 Serials 80 SIAM Journal on Control and Optimization 72 Automatica 70 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Journal of Optimization Theory and Applications 34 M\(^3\)AS. 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Theory, Methods & Applications. Series A: Theory and Methods 8 Optimal Control Applications & Methods 7 Journal of Mathematical Biology 7 Nonlinearity 7 European Journal of Control 7 SIAM Journal on Imaging Sciences 6 Mathematics and Computers in Simulation 6 The Journal of Geometric Analysis 6 SIAM Journal on Applied Mathematics 6 Mathematical Programming. Series A. Series B 6 International Journal of Robust and Nonlinear Control 6 SIAM Journal on Applied Dynamical Systems 5 Applied Mathematics and Computation 5 Journal of Functional Analysis 5 Communications in Partial Differential Equations 5 NoDEA. 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Série VI 2 Potential Analysis 2 SIAM Journal on Scientific Computing ...and 148 more Serials all top 5 Cited in 51 Fields 534 Systems theory; control (93-XX) 463 Calculus of variations and optimal control; optimization (49-XX) 403 Partial differential equations (35-XX) 128 Biology and other natural sciences (92-XX) 120 Numerical analysis (65-XX) 115 Operations research, mathematical programming (90-XX) 111 Ordinary differential equations (34-XX) 91 Differential geometry (53-XX) 65 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Global analysis, analysis on manifolds (58-XX) 49 Mechanics of particles and systems (70-XX) 46 Dynamical systems and ergodic theory (37-XX) 39 Probability theory and stochastic processes (60-XX) 37 Statistical mechanics, structure of matter (82-XX) 32 Fluid mechanics (76-XX) 29 Computer science (68-XX) 22 Mechanics of deformable solids (74-XX) 20 Operator theory (47-XX) 17 Quantum theory (81-XX) 16 Real functions (26-XX) 16 Integral equations (45-XX) 16 Optics, electromagnetic theory (78-XX) 13 Difference and functional equations (39-XX) 11 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 10 Functional analysis (46-XX) 9 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 4 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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