## Privat, Yannick

Compute Distance To:
 Author ID: privat.yannick Published as: Privat, Yannick External Links: MGP
 Documents Indexed: 52 Publications since 2007 Co-Authors: 48 Co-Authors with 51 Joint Publications 933 Co-Co-Authors
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### Co-Authors

 1 single-authored 15 Trélat, Emmanuel 8 Zuazua, Enrique 6 Nadin, Grégoire 6 Vauchelet, Nicolas 5 Duprez, Michel 5 Henrot, Antoine 4 Mazari, Idriss 3 Bergounioux, Maïtine 3 Sigalotti, Mario 2 Bretin, Elie 2 Humbert, Emmanuel 2 Laurain, Antoine 2 Liard, Thibault 2 Lissy, Pierre 2 Strugarek, Martin 1 Alabau-Boussouira, Fatiha 1 Alberti, Giovanni S. 1 Arnau, Jesús Bellver 1 Bliman, Pierre-Alexandre 1 Bonnefond, Xavier 1 Bonnivard, Matthieu 1 Capdeboscq, Yves 1 Caubet, Fabien 1 Courtais, Alexis 1 Deheuvels, Thibaut 1 Delyon, Alexandre 1 Dubois de La Sablonière, Xavier 1 Fischer, Yannick 1 Haberkorn, Thomas 1 Haddon, Antoine 1 Haraux, Alain 1 Hélie, Romane 1 Jounieaux, Pierre 1 Kermorvant, Claire 1 Labbé, Stéphane 1 Lamboley, Jimmy 1 Latifi, Abderrazak M. 1 Léculier, Alexis 1 Lesage, François 1 Lindgren, Erik 1 Lucas, Carine 1 Marck, Gilles 1 Marteau, Benjamin 1 Mauroy, Benjamin 1 Méhats, Florian 1 Omnès, Florian 1 Simpore, Yacouba 1 Zubelli, Jorge P.
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### Serials

 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 SIAM Journal on Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of Differential Equations 3 SIAM Journal on Control and Optimization 2 Inverse Problems 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 The Journal of Fourier Analysis and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 Journal de l’École Polytechnique – Mathématiques 1 Mathematics in Engineering
all top 5

### Fields

 40 Calculus of variations and optimal control; optimization (49-XX) 35 Partial differential equations (35-XX) 19 Systems theory; control (93-XX) 16 Biology and other natural sciences (92-XX) 6 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 250 times in 162 Documents Cited by Year
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
2010
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
An optimal control problem in photoacoustic tomography. Zbl 1298.49054
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick
2014
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick
2017
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. Zbl 1203.35005
Privat, Yannick; Sigalotti, Mario
2010
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
Optimal releases for population replacement strategies: application to Wolbachia. Zbl 1421.92029
Almeida, Luis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas
2019
On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013
Méhats, Florian; Privat, Yannick; Sigalotti, Mario
2014
Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. Zbl 1206.35181
Privat, Yannick; Sigalotti, Mario
2010
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
Shape optimization with Stokes constraints over the set of axisymmetric domains. Zbl 1263.49050
Bergounioux, Maitine; Privat, Yannick
2013
Shape minimization of the dissipated energy in dyadic trees. Zbl 1232.49027
Dubois de La Sablonière, Xavier; Mauroy, Benjamin; Privat, Yannick
2011
Optimal release of mosquitoes to control dengue transmission. Zbl 1447.92389
Almeida, Luis; Haddon, Antoine; Kermorvant, Claire; Léculier, Alexis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P.
2020
Mosquito population control strategies for fighting against arboviruses. Zbl 1470.92276
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas
2019
Some inverse problems around the tokamak Tore Supra. Zbl 1267.30107
Fischer, Yannick; Marteau, Benjamin; Privat, Yannick
2012
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
2012
The optimal shape of a dendrite sealed at both ends. Zbl 1188.49045
Privat, Yannick
2009
A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) Zbl 1156.35444
Henrot, Antoine; Privat, Yannick
2008
How to position sensors in thermo-acoustic tomography. Zbl 1418.92068
Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel
2019
Shape minimization of dendritic attenuation. Zbl 1133.92003
Henrot, Antoine; Privat, Yannick
2008
Optimal design of sensors for a damped wave equation. Zbl 1381.93027
Trélat, Emmanuel; Privat, Yannick
2015
A free boundary problem for the Laplacian with a constant Bernoulli-type boundary condition. Zbl 1123.35092
Lindgren, Erik; Privat, Yannick
2007
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221
Bretin, Élie; Lucas, Carine; Privat, Yannick
2018
Nondispersal and density properties of infinite packings. Zbl 1417.49056
Delyon, Alexandre; Henrot, Antoine; Privat, Yannick
2019
Modeling and optimization of hourglass-shaped aquaporins. Zbl 1401.92074
Bonnivard, Matthieu; Omnès, Florian; Privat, Yannick
2018
Insensitizing control for linear and semi-linear heat equations with partially unknown domain. Zbl 1442.93009
Lissy, Pierre; Privat, Yannick; Simporé, Yacouba
2019
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
2021
Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas
2021
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
2021
Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas
2021
Optimal location of resources maximizing the total population size in logistic models. Zbl 1433.92038
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2020
Optimal release of mosquitoes to control dengue transmission. Zbl 1447.92389
Almeida, Luis; Haddon, Antoine; Kermorvant, Claire; Léculier, Alexis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P.
2020
Optimal releases for population replacement strategies: application to Wolbachia. Zbl 1421.92029
Almeida, Luis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas
2019
Mosquito population control strategies for fighting against arboviruses. Zbl 1470.92276
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas
2019
How to position sensors in thermo-acoustic tomography. Zbl 1418.92068
Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel
2019
Nondispersal and density properties of infinite packings. Zbl 1417.49056
Delyon, Alexandre; Henrot, Antoine; Privat, Yannick
2019
Insensitizing control for linear and semi-linear heat equations with partially unknown domain. Zbl 1442.93009
Lissy, Pierre; Privat, Yannick; Simporé, Yacouba
2019
A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221
Bretin, Élie; Lucas, Carine; Privat, Yannick
2018
Modeling and optimization of hourglass-shaped aquaporins. Zbl 1401.92074
Bonnivard, Matthieu; Omnès, Florian; Privat, Yannick
2018
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick
2017
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
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
2015
Optimal design of sensors for a damped wave equation. Zbl 1381.93027
Trélat, Emmanuel; Privat, Yannick
2015
An optimal control problem in photoacoustic tomography. Zbl 1298.49054
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick
2014
On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013
Méhats, Florian; Privat, Yannick; Sigalotti, Mario
2014
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Shape optimization with Stokes constraints over the set of axisymmetric domains. Zbl 1263.49050
Bergounioux, Maitine; Privat, Yannick
2013
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Some inverse problems around the tokamak Tore Supra. Zbl 1267.30107
Fischer, Yannick; Marteau, Benjamin; Privat, Yannick
2012
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
2012
Shape minimization of the dissipated energy in dyadic trees. Zbl 1232.49027
Dubois de La Sablonière, Xavier; Mauroy, Benjamin; Privat, Yannick
2011
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
2010
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. Zbl 1203.35005
Privat, Yannick; Sigalotti, Mario
2010
Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. Zbl 1206.35181
Privat, Yannick; Sigalotti, Mario
2010
The optimal shape of a dendrite sealed at both ends. Zbl 1188.49045
Privat, Yannick
2009
A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) Zbl 1156.35444
Henrot, Antoine; Privat, Yannick
2008
Shape minimization of dendritic attenuation. Zbl 1133.92003
Henrot, Antoine; Privat, Yannick
2008
A free boundary problem for the Laplacian with a constant Bernoulli-type boundary condition. Zbl 1123.35092
Lindgren, Erik; Privat, Yannick
2007
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### Cited by 240 Authors

 32 Privat, Yannick 14 Trélat, Emmanuel 10 Zuazua, Enrique 7 Mazari, Idriss 7 Nadin, Grégoire 5 Cavalcanti, Marcelo Moreira 4 Domingos Cavalcanti, Valéria Neves 4 Dubey, Shruti A. 4 Dwivedi, Sharad 4 Henrot, Antoine 4 Kunisch, Karl 4 Laurain, Antoine 4 Vauchelet, Nicolas 4 Yang, Donghui 3 Boscain, Ugo 3 Duprez, Michel 3 Gonzalez Martinez, Victor Hugo 3 Guo, Bao-Zhu 3 Morris, Kirsten A. 3 Pellacci, Benedetta 3 Rodrigues, Sérgio S. 3 Sigalotti, Mario 3 Verzini, Gianmaria 2 Alberti, Giovanni S. 2 Allaire, Grégoire 2 Beauchard, Karine 2 Bergounioux, Maïtine 2 Bretin, Elie 2 Caponigro, Marco 2 Chaabi, Slah 2 Coron, Jean-Michel 2 Dapogny, Charles 2 Fardigola, Larissa V. 2 Haraux, Alain 2 Heo, Junyoung 2 Humbert, Emmanuel 2 Inoue, Jumpei 2 Kalise, Dante 2 Kao, Chiu-Yen 2 Kasumba, Henry 2 Kim, Yeonho 2 Komornik, Vilmos 2 Lamboley, Jimmy 2 Laurent, Camille 2 Léautaud, Matthieu 2 Liard, Thibault 2 Lissy, Pierre 2 Lou, Yuan 2 Macià, Fabricio 2 Mansouri, Sabeur 2 Martinez, Patrick 2 Mazzoleni, Dario 2 Morancey, Morgan 2 Nagahara, Kentaro 2 Nersesyan, Vahagn 2 Pozzoli, Eugenio 2 Sturm, Kevin 2 Toledo Marrero, Ana Isis 2 Vancostenoble, Judith 2 Vicente, André 2 Wang, Gengsheng 2 Waters, Alden 2 Wen, Zhiyuan 2 Xu, Yashan 2 Yanagida, Eiji 2 Yousept, Irwin 2 Zhong, Jie 1 Alabau-Boussouira, Fatiha 1 Albuquerque, Yuri Flores 1 Ali, Montaz M. 1 Alla, Alessandro 1 Amadori, Debora 1 Ammari, Habib M. 1 Anantharaman, Nalini 1 Anedda, Claudia 1 Antwi-Fordjour, Kwadwo 1 Apte, Amit 1 Aqel, Fatima Al-Zahra’ 1 Arab, Fatima 1 Astudillo Rojas, Maria R. 1 Astudillo, Maria 1 Auroux, Didier 1 Azegami, Hideyuki 1 Azmi, Behzad 1 Ballarin, Francesco 1 Baratchart, Laurent 1 Bárcena-Petisco, Jon Asier 1 Bintz, Jason 1 Blauth, Sebastian 1 Bliman, Pierre-Alexandre 1 Bongini, Mattia 1 Bonnivard, Matthieu 1 Borichev, Aleksandr Aleksandrovich 1 Bottois, Arthur 1 Campo-Duarte, Doris Elena 1 Cannarsa, Piermarco 1 Capdeboscq, Yves 1 Cardona-Salgado, Daiver 1 Caubet, Fabien 1 Chambrion, Thomas ...and 140 more Authors
all top 5

### Cited in 71 Serials

 12 SIAM Journal on Control and Optimization 11 Journal of Differential Equations 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Applied Mathematics 5 Journal of Mathematical Analysis and Applications 4 Archive for Rational Mechanics and Analysis 4 Inverse Problems 4 SIAM Journal on Mathematical Analysis 4 Evolution Equations and Control Theory 3 Nonlinearity 3 Systems & Control Letters 3 MCSS. Mathematics of Control, Signals, and Systems 3 Computational Optimization and Applications 3 Calculus of Variations and Partial Differential Equations 3 Journal of the European Mathematical Society (JEMS) 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Control and Related Fields 2 Journal of Mathematical Biology 2 Applied Mathematics and Optimization 2 Automatica 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Journal of Scientific Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematical Biosciences and Engineering 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Scientific Computing 1 The Journal of Fourier Analysis and Applications 1 Journal of Applied Analysis 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Journal of Biological Systems 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Biological Dynamics 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Imaging Sciences 1 Analysis & PDE 1 Analysis and Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 Journal of Optimization 1 European Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 SMAI Journal of Computational Mathematics 1 Annales Fennici Mathematici
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### Cited in 35 Fields

 108 Partial differential equations (35-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 69 Systems theory; control (93-XX) 29 Biology and other natural sciences (92-XX) 21 Numerical analysis (65-XX) 15 Fluid mechanics (76-XX) 11 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 4 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)