## Imbert, Cyril

Compute Distance To:
 Author ID: imbert.cyril Published as: Imbert, Cyril; Imbert, C. Homepage: https://www.math.ens.fr/cyril.imbert/ External Links: MGP · IdRef · theses.fr
 Documents Indexed: 58 Publications since 1998 Co-Authors: 31 Co-Authors with 50 Joint Publications 806 Co-Co-Authors
all top 5

### Co-Authors

 8 single-authored 13 Monneau, Régis 9 Silvestre, Luis E. 7 Forcadel, Nicolas 6 Barles, Guy 5 Chasseigne, Emmanuel 4 Mouhot, Clément 3 Karch, Grzegorz 3 Mellet, Antoine 2 Alibaud, Nathaël 2 Biler, Piotr 2 Ciomaga, Adina 2 Droniou, Jérôme 2 Gentil, Ivan 2 Jin, Tianling 2 Shvydkoy, Roman V. 2 Vigneron, François 2 Vovelle, Julien 1 Bouchard, Bruno 1 Briani, Ariela 1 Elie, Romuald 1 Galise, Giulio 1 Golse, François 1 Haj, M. Al 1 Hiriart-Urruty, Jean-Baptiste 1 Nguyen, Vinh Duc 1 Rouy, Elisabeth 1 Serfaty, Sylvia 1 Tarhini, Rana 1 Vasseur, Alexis F. 1 Volle, Michel 1 Zidani, Hasnaa
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### Serials

 4 Journal of Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Interfaces and Free Boundaries 3 Journal of the European Mathematical Society (JEMS) 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Calculus of Variations and Partial Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Analysis & PDE 1 Communications in Mathematical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Colloquium Mathematicum 1 Control and Cybernetics 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Nonlinear and Convex Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Stochastics 1 Advances in Nonlinear Analysis 1 EMS Surveys in Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue
all top 5

### Fields

 54 Partial differential equations (35-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 6 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

56 Publications have been cited 1,119 times in 728 Documents Cited by Year
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
Fractal first-order partial differential equations. Zbl 1111.35144
Droniou, Jérôme; Imbert, Cyril
2006
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
2008
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
2011
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
2015
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2012
A non-local regularization of first order Hamilton-Jacobi equations. Zbl 1073.35059
Imbert, Cyril
2005
$$C^{1,\alpha}$$ regularity of solutions of some degenerate fully non-linear elliptic equations. Zbl 1262.35065
Imbert, C.; Silvestre, L.
2013
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations. Zbl 1205.35124
Imbert, Cyril
2011
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. (Solutions à flux limité pour les équations de Hamilton-Jacobi quasi-convexes posées sur des réseaux.) Zbl 1382.35075
Imbert, Cyril; Monneau, Régis
2017
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
2011
Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2009
Estimates on elliptic equations that hold only where the gradient is large. Zbl 1344.35049
Imbert, Cyril; Silvestre, Luis
2016
An introduction to fully nonlinear parabolic equations. Zbl 1282.35004
Imbert, Cyril; Silvestre, Luis
2013
Level set approach for fractional mean curvature flows. Zbl 1173.35533
Imbert, Cyril
2009
The weak Harnack inequality for the Boltzmann equation without cut-off. Zbl 1473.35077
Imbert, Cyril; Silvestre, Luis
2020
A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. Zbl 1085.35099
Imbert, C.; Vovelle, J.
2004
Homogenization of first order equations with ($$u/\varepsilon$$)-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005
Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth
2008
Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations. Zbl 1293.35037
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2014
Homogenization of first-order equations with $$(u/\varepsilon)$$-periodic Hamiltonians. I: Local equations. Zbl 1127.70009
Imbert, Cyril; Monneau, Régis
2008
Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023
Forcadel, N.; Imbert, C.; Monneau, R.
2009
Optimal control under stochastic target constraints. Zbl 1203.93208
Bouchard, Bruno; Elie, Romuald; Imbert, Cyril
2010
The Lévy-Fokker-Planck equation: $$\Phi$$-entropies and convergence to equilibrium. Zbl 1170.35337
Gentil, Ivan; Imbert, Cyril
2008
Asymptotic properties of entropy solutions to fractal Burgers equation. Zbl 1225.35026
Alibaud, Nathael; Imbert, Cyril; Karch, Grzegorz
2010
Hölder gradient estimates for a class of singular or degenerate parabolic equations. Zbl 1418.35250
Imbert, Cyril; Jin, Tianling; Silvestre, Luis
2019
Decay estimates for large velocities in the Boltzmann equation without cutoff. (Décroissance aux grandes vitesses pour LES solutions de L’Équation de Boltzmann sans troncature angulaire.) Zbl 1427.35278
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis
2020
Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106
Imbert, Cyril; Monneau, Régis
2017
Homogenization of accelerated Frenkel-Kontorova models with $$n$$ types of particles. Zbl 1276.35024
Forcadel, N.; Imbert, C.; Monneau, R.
2012
A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034
Galise, Giulio; Imbert, Cyril; Monneau, Régis
2015
Existence of solutions for a higher order non-local equation appearing in crack dynamics. Zbl 1230.35053
Imbert, C.; Mellet, A.
2011
Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. Zbl 1471.45008
Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman
2018
Convexity of solutions and $$C^{1,1}$$ estimates for fully nonlinear elliptic equations. Zbl 1206.35108
Imbert, Cyril
2006
Support functions of the Clarke generalized Jacobian and of its plenary hull. Zbl 1009.49017
Imbert, Cyril
2002
Gaussian lower bounds for the Boltzmann equation without cutoff. Zbl 1442.35050
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis
2020
The Schauder estimate for kinetic integral equations. Zbl 1467.35069
Imbert, Cyril; Silvestre, Luis
2021
An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015
Droniou, J.; Imbert, C.; Vovelle, J.
2004
Fractional semi-linear parabolic equations with unbounded data. Zbl 1173.35525
Alibaud, Nathaël; Imbert, Cyril
2009
Convex analysis techniques for Hopf-Lax formulae in Hamilton-Jacobi equations. Zbl 1006.35023
Imbert, Cyril
2001
Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation. Zbl 1202.47093
Gentil, Ivan; Imbert, Cyril
2009
Finite speed of propagation for a non-local porous medium equation. Zbl 1337.35118
Imbert, Cyril
2016
Effective junction conditions for degenerate parabolic equations. Zbl 1381.49017
Imbert, Cyril; Nguyen, Vinh Duc
2017
Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2012
On vectorial Hamilton-Jacobi equations. Zbl 1100.35500
Imbert, Cyril; Volle, Michel
2002
Global well-posedness of a non-local Burgers equation: the periodic case. Zbl 1355.35190
Imbert, Cyril; Shvydkoy, Roman; Vigneron, François
2016
Self-similar solutions for a fractional thin film equation governing hydraulic fractures. Zbl 1330.35330
Imbert, C.; Mellet, A.
2015
The support functions of Clarke’s generalized Jacobian matrix and of its plenary hull. (Les fonctions d’appui de la jacobienne généralisée de Clarke et de son enveloppe plénière.) Zbl 0940.49017
Hiriart-Urruty, Jean-Baptiste; Imbert, Cyril
1998
Electrified thin films: global existence of non-negative solutions. Zbl 1308.35123
Imbert, C.; Mellet, A.
2012
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
2018
Repeated games for non-linear parabolic integro-differential equations and integral curvature flows. Zbl 1258.35116
Imbert, Cyril; Serfaty, Sylvia
2011
Regularity for the Boltzmann equation conditional to macroscopic bounds. Zbl 1459.35307
Imbert, Cyril; Silvestre, Luis
2020
Some regularity results for anisotropic motion of fronts. Zbl 1034.35159
Imbert, Cyril
2002
Steady state and long time convergence of spirals moving by forced mean curvature motion. Zbl 1329.35169
Forcadel, N.; Imbert, C.; Monneau, R.
2015
The Schauder estimate in kinetic theory with application to a toy nonlinear model. (L’estimation de Schauder en théorie cinétique et son application à un modèle jouet nonlinéaire.) Zbl 07480708
Imbert, Cyril; Mouhot, Clément
2021
Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2008
The Schauder estimate for kinetic integral equations. Zbl 1467.35069
Imbert, Cyril; Silvestre, Luis
2021
The Schauder estimate in kinetic theory with application to a toy nonlinear model. (L’estimation de Schauder en théorie cinétique et son application à un modèle jouet nonlinéaire.) Zbl 07480708
Imbert, Cyril; Mouhot, Clément
2021
The weak Harnack inequality for the Boltzmann equation without cut-off. Zbl 1473.35077
Imbert, Cyril; Silvestre, Luis
2020
Decay estimates for large velocities in the Boltzmann equation without cutoff. (Décroissance aux grandes vitesses pour LES solutions de L’Équation de Boltzmann sans troncature angulaire.) Zbl 1427.35278
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis
2020
Gaussian lower bounds for the Boltzmann equation without cutoff. Zbl 1442.35050
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis
2020
Regularity for the Boltzmann equation conditional to macroscopic bounds. Zbl 1459.35307
Imbert, Cyril; Silvestre, Luis
2020
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
Hölder gradient estimates for a class of singular or degenerate parabolic equations. Zbl 1418.35250
Imbert, Cyril; Jin, Tianling; Silvestre, Luis
2019
Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. Zbl 1471.45008
Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman
2018
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
2018
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. (Solutions à flux limité pour les équations de Hamilton-Jacobi quasi-convexes posées sur des réseaux.) Zbl 1382.35075
Imbert, Cyril; Monneau, Régis
2017
Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case. Zbl 1391.35106
Imbert, Cyril; Monneau, Régis
2017
Effective junction conditions for degenerate parabolic equations. Zbl 1381.49017
Imbert, Cyril; Nguyen, Vinh Duc
2017
Estimates on elliptic equations that hold only where the gradient is large. Zbl 1344.35049
Imbert, Cyril; Silvestre, Luis
2016
Finite speed of propagation for a non-local porous medium equation. Zbl 1337.35118
Imbert, Cyril
2016
Global well-posedness of a non-local Burgers equation: the periodic case. Zbl 1355.35190
Imbert, Cyril; Shvydkoy, Roman; Vigneron, François
2016
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
2015
A junction condition by specified homogenization and application to traffic lights. Zbl 1331.35034
Galise, Giulio; Imbert, Cyril; Monneau, Régis
2015
Self-similar solutions for a fractional thin film equation governing hydraulic fractures. Zbl 1330.35330
Imbert, C.; Mellet, A.
2015
Steady state and long time convergence of spirals moving by forced mean curvature motion. Zbl 1329.35169
Forcadel, N.; Imbert, C.; Monneau, R.
2015
Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations. Zbl 1293.35037
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2014
A Hamilton-Jacobi approach to junction problems and application to traffic flows. Zbl 1262.35080
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa
2013
$$C^{1,\alpha}$$ regularity of solutions of some degenerate fully non-linear elliptic equations. Zbl 1262.35065
Imbert, C.; Silvestre, L.
2013
An introduction to fully nonlinear parabolic equations. Zbl 1282.35004
Imbert, Cyril; Silvestre, Luis
2013
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2012
Homogenization of accelerated Frenkel-Kontorova models with $$n$$ types of particles. Zbl 1276.35024
Forcadel, N.; Imbert, C.; Monneau, R.
2012
Uniqueness and existence of spirals moving by forced mean curvature motion. Zbl 1273.35164
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2012
Electrified thin films: global existence of non-negative solutions. Zbl 1308.35123
Imbert, C.; Mellet, A.
2012
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
2011
Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations. Zbl 1205.35124
Imbert, Cyril
2011
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
2011
Existence of solutions for a higher order non-local equation appearing in crack dynamics. Zbl 1230.35053
Imbert, C.; Mellet, A.
2011
Repeated games for non-linear parabolic integro-differential equations and integral curvature flows. Zbl 1258.35116
Imbert, Cyril; Serfaty, Sylvia
2011
Optimal control under stochastic target constraints. Zbl 1203.93208
Bouchard, Bruno; Elie, Romuald; Imbert, Cyril
2010
Asymptotic properties of entropy solutions to fractal Burgers equation. Zbl 1225.35026
Alibaud, Nathael; Imbert, Cyril; Karch, Grzegorz
2010
Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Zbl 1154.35306
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2009
Level set approach for fractional mean curvature flows. Zbl 1173.35533
Imbert, Cyril
2009
Homogenization of fully overdamped Frenkel-Kontorova models. Zbl 1171.49023
Forcadel, N.; Imbert, C.; Monneau, R.
2009
Fractional semi-linear parabolic equations with unbounded data. Zbl 1173.35525
Alibaud, Nathaël; Imbert, Cyril
2009
Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation. Zbl 1202.47093
Gentil, Ivan; Imbert, Cyril
2009
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
2008
Homogenization of first order equations with ($$u/\varepsilon$$)-periodic Hamiltonians part II: Application to dislocations dynamics. Zbl 1143.35005
Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth
2008
Homogenization of first-order equations with $$(u/\varepsilon)$$-periodic Hamiltonians. I: Local equations. Zbl 1127.70009
Imbert, Cyril; Monneau, Régis
2008
The Lévy-Fokker-Planck equation: $$\Phi$$-entropies and convergence to equilibrium. Zbl 1170.35337
Gentil, Ivan; Imbert, Cyril
2008
Viscosity solutions for particle systems and homogenization of dislocation dynamics. Zbl 1221.35049
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis
2008
Fractal first-order partial differential equations. Zbl 1111.35144
Droniou, Jérôme; Imbert, Cyril
2006
Convexity of solutions and $$C^{1,1}$$ estimates for fully nonlinear elliptic equations. Zbl 1206.35108
Imbert, Cyril
2006
A non-local regularization of first order Hamilton-Jacobi equations. Zbl 1073.35059
Imbert, Cyril
2005
A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. Zbl 1085.35099
Imbert, C.; Vovelle, J.
2004
An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015
Droniou, J.; Imbert, C.; Vovelle, J.
2004
Support functions of the Clarke generalized Jacobian and of its plenary hull. Zbl 1009.49017
Imbert, Cyril
2002
On vectorial Hamilton-Jacobi equations. Zbl 1100.35500
Imbert, Cyril; Volle, Michel
2002
Some regularity results for anisotropic motion of fronts. Zbl 1034.35159
Imbert, Cyril
2002
Convex analysis techniques for Hopf-Lax formulae in Hamilton-Jacobi equations. Zbl 1006.35023
Imbert, Cyril
2001
The support functions of Clarke’s generalized Jacobian matrix and of its plenary hull. (Les fonctions d’appui de la jacobienne généralisée de Clarke et de son enveloppe plénière.) Zbl 0940.49017
Hiriart-Urruty, Jean-Baptiste; Imbert, Cyril
1998
all top 5

### Cited by 851 Authors

 30 Imbert, Cyril 20 Topp, Erwin 19 Monneau, Régis 19 Valdinoci, Enrico 17 Vazquez, Juan Luis 16 Barles, Guy 15 Jakobsen, Espen Robstad 12 Forcadel, Nicolas 12 Quaas, Alexander 11 Chasseigne, Emmanuel 11 Dipierro, Serena 10 Cesaroni, Annalisa 10 Felmer, Patricio L. 9 Birindelli, Isabeau 9 Demengel, Françoise 9 Karch, Grzegorz 9 Silvestre, Luis E. 8 Camilli, Fabio 8 Dávila, Gonzalo 8 del Teso, Félix 8 Mou, Chenchen 8 Novaga, Matteo 7 Achdou, Yves 7 Caffarelli, Luis Ángel 7 Rossi, Julio Daniel 7 Sire, Yannick 7 Snelson, Stanley 7 Tchou, Nicoletta Anna 7 Teixeira, Eduardo V. O. 6 Alibaud, Nathaël 6 Bayraktar, Erhan 6 Biler, Piotr 6 da Silva, João Vítor 6 Duan, Jinqiao 6 Guillen, Nestor 6 Hofmanová, Martina 6 Jakubowski, Tomasz 6 Souganidis, Panagiotis E. 6 Świȩch, Andrzej 5 Attouchi, Amal 5 Cardaliaguet, Pierre 5 Cifani, Simone 5 Esfahani, Amin 5 Henderson, Christopher 5 Ibrahim, Hassan 5 Kühn, Franziska 5 Ley, Olivier 5 Lv, Guangying 5 Parviainen, Mikko 5 Patrizi, Stefania 5 Ponsiglione, Marcello 5 Ricarte, Gleydson C. 5 Schwab, Russell W. 5 Shvydkoy, Roman V. 4 Araújo, Damião J. 4 Biswas, Imran H. 4 Briani, Ariela 4 Chang-Lara, Héctor A. 4 Ciomaga, Adina 4 De Luca, Lucia 4 Dondl, Patrick Werner 4 Droniou, Jérôme 4 Endal, Jørgen 4 Figalli, Alessio 4 Gao, Hongjun 4 Gualdani, Maria Pia 4 Guerand, Jessica 4 Hamadene, Saïd 4 Hwang, Hyung Ju 4 Karlsen, Kenneth Hvistendahl 4 Kassmann, Moritz 4 Kim, Soojung 4 Kobayasi, Kazuo 4 Mellet, Antoine 4 Mohammed, Ahmed 4 Mouhot, Clément 4 Polidoro, Sergio 4 Ruosteenoja, Eero 4 Salazar, Wilfredo 4 Stan, Diana 4 Tarfulea, Andrei 4 Tristani, Isabelle 4 van Meurs, Patrick 4 Villa-Morales, José 4 Vovelle, Julien 4 Wei, Jinlong 4 Yangari, Miguel 4 Zhang, Xicheng 3 Andreianov, Boris 3 Arisawa, Mariko 3 Banerjee, Agnid 3 Bogdan, Krzysztof 3 Bressan, Alberto 3 Cabré, Xavier 3 Cacace, Simone 3 Carrillo de la Plata, José Antonio 3 Cesbron, Ludovic 3 Chambolle, Antonin 3 Dao, Manh-Khang 3 De Gregorio, Alessandro ...and 751 more Authors
all top 5

### Cited in 181 Serials

 51 Journal of Differential Equations 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Calculus of Variations and Partial Differential Equations 29 Archive for Rational Mechanics and Analysis 23 NoDEA. Nonlinear Differential Equations and Applications 22 SIAM Journal on Mathematical Analysis 21 Discrete and Continuous Dynamical Systems 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Communications in Partial Differential Equations 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Journal of Mathematical Analysis and Applications 14 Transactions of the American Mathematical Society 13 Advances in Mathematics 13 SIAM Journal on Control and Optimization 12 Journal of Evolution Equations 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Stochastic Processes and their Applications 9 Communications in Mathematical Physics 8 Journal of Functional Analysis 7 Applied Mathematics and Optimization 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Optimization Theory and Applications 6 Mathematische Annalen 6 Potential Analysis 6 Communications in Contemporary Mathematics 6 Communications on Pure and Applied Analysis 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 The Annals of Probability 5 Mathematische Zeitschrift 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Insurance Mathematics & Economics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Networks and Heterogeneous Media 5 Kinetic and Related Models 4 Applied Mathematics and Computation 4 The Annals of Applied Probability 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Finance and Stochastics 4 Complex Variables and Elliptic Equations 4 Séminaire Laurent Schwartz. EDP et Applications 3 Communications on Pure and Applied Mathematics 3 Nonlinearity 3 Mathematics of Computation 3 Monatshefte für Mathematik 3 Quarterly of Applied Mathematics 3 Revista Matemática Iberoamericana 3 Applied Mathematics Letters 3 The Journal of Geometric Analysis 3 Fractional Calculus & Applied Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Advanced Nonlinear Studies 3 Stochastics and Dynamics 3 Boundary Value Problems 3 Stochastics 3 Analysis & PDE 3 SIAM Journal on Financial Mathematics 3 Annals of PDE 3 Journal de l’École Polytechnique – Mathématiques 2 Applicable Analysis 2 Israel Journal of Mathematics 2 Automatica 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Systems & Control Letters 2 Physica D 2 SIAM Journal on Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Positivity 2 Interfaces and Free Boundaries 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Calculus of Variations 2 Mathematical Control and Related Fields 2 Arabian Journal of Mathematics 2 Modern Stochastics. Theory and Applications 2 Philosophical Transactions A. Royal Society of London 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications ...and 81 more Serials
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### Cited in 37 Fields

 595 Partial differential equations (35-XX) 152 Calculus of variations and optimal control; optimization (49-XX) 133 Probability theory and stochastic processes (60-XX) 68 Operator theory (47-XX) 65 Integral equations (45-XX) 60 Systems theory; control (93-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Fluid mechanics (76-XX) 49 Numerical analysis (65-XX) 45 Statistical mechanics, structure of matter (82-XX) 31 Real functions (26-XX) 31 Operations research, mathematical programming (90-XX) 22 Differential geometry (53-XX) 22 Mechanics of deformable solids (74-XX) 16 Functional analysis (46-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 9 Mechanics of particles and systems (70-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Potential theory (31-XX) 4 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)