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## Dolbeault, Jean

Compute Distance To:
 Author ID: dolbeault.jean Published as: Dolbeault, Jean; Dolbeault, J. Homepage: https://www.ceremade.dauphine.fr/~dolbeaul/ External Links: MGP · ORCID · arXiv · ResearchGate · dblp · GND
 Documents Indexed: 163 Publications since 1990 Reviewing Activity: 18 Reviews
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#### Co-Authors

 8 single-authored 47 Esteban, Maria J. 23 Loss, Michael 13 Del Pino, Manuel A. 10 Schmeiser, Christian 9 Blanchet, Adrien 9 Monneau, Régis 8 Laptev, Ari 8 Markowich, Peter Alexander 7 Felmer, Patricio L. 7 Kowalczyk, Michał 6 Biler, Piotr 6 Nazaret, Bruno 6 Toscani, Giuseppe 5 Bonforte, Matteo 5 Carrillo de la Plata, José Antonio 5 Musso, Monica 5 Séré, Eric 4 Bartier, Jean-Philippe 4 Bouin, Emeric 4 Gentil, Ivan 4 Jankowiak, Gaspard 4 Mouhot, Clément 4 Muratori, Matteo 4 Tarantello, Gabriella 3 Arnold, Anton 3 Benguria, Rafael D. 3 Campos, Juan F. 3 Escobedo Martínez, Miguel 3 García-Huidobro, Marta 3 Grillo, Gabriele 3 Illner, Reinhard 3 Jüngel, Ansgar 3 Manasevich, Raul F. 3 Sánchez, Oscar 3 Savaré, Giuseppe 3 Tertikas, Achilles 3 Vazquez, Juan Luis 2 Ben Abdallah, Naoufel 2 Bonheure, Denis 2 Catto, Isabelle 2 Desvillettes, Laurent 2 Filippas, Stathis 2 Karch, Grzegorz 2 Li, Xingyu 2 Perthame, Benoît 2 Soler, Juan S. 2 Sparber, Christof 2 Stańczy, Robert 2 Turinici, Gabriel 2 Vega, Luis 2 Zhang, An 1 Addala, Lanoir 1 Aki, Gonca L. 1 Balabane, Mikhael 1 Bosi, Roberta 1 Bouchut, François 1 Cáceres, María-José 1 Caffarelli, Luis Ángel 1 Corrias, Lucilla 1 Cortázar, Carmen 1 Delgadino, Matias Gonzalo 1 Desclaux, J. P. 1 Duoandikoetxea, Javier 1 Flores, Isabel 1 Frank, Rupert L. 1 Guillin, Arnaud 1 Hoffmann, Franca 1 Indelicato, Paul 1 Kinderlehrer, David 1 Klar, Axel 1 Lafleche, Laurent 1 Lange, Horst 1 Lederman, Claudia B. 1 Lewin, Mathieu 1 Mayorga-Zambrano, Juan 1 Mischler, Stéphane 1 Nadzieja, Tadeusz 1 Ölz, Dietmar 1 Ounaies, Hichem 1 Paturel, Eric 1 Poupaud, Frédéric 1 Ramaswamy, Mythily 1 Rein, Gerhard 1 Sèeré, E. 1 Tayeb, Mohamed Lazhar 1 Unterreiter, Andreas 1 Villani, Cédric 1 Volzone, Bruno 1 Wang, Feng-Yu
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#### Serials

 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Functional Analysis 6 Archive for Rational Mechanics and Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Communications in Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Differential Equations 5 Monatshefte für Mathematik 5 Discrete and Continuous Dynamical Systems 5 Annales Henri Poincaré 4 Calculus of Variations and Partial Differential Equations 4 Advanced Nonlinear Studies 4 Communications in Mathematical Sciences 4 Kinetic and Related Models 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Differential and Integral Equations 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Transport Theory and Statistical Physics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 IMRN. International Mathematics Research Notices 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Mathematical Research Letters 2 Journal of the European Mathematical Society (JEMS) 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis 1 Journal of Mathematical Biology 1 Nonlinearity 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Differential Equations 1 Interfaces and Free Boundaries 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Numerical Mathematics 1 AMRX. Applied Mathematics Research eXpress 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Mathematics and Mechanics of Complex Systems 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 Computational and Mathematical Biophysics 1 Pure and Applied Analysis
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#### Fields

 127 Partial differential equations (35-XX) 42 Real functions (26-XX) 37 Functional analysis (46-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Quantum theory (81-XX) 19 Fluid mechanics (76-XX) 16 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 11 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 6 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

149 Publications have been cited 2,347 times in 1,408 Documents Cited by Year
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023
Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit
2006
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. Zbl 1112.35310
Del Pino, Manuel; Dolbeault, Jean
2002
Optimal critical mass in the two dimensional Keller-Segel model in $$R^2$$. Zbl 1056.35076
Dolbeault, Jean; Perthame, Benoît
2004
Hypocoercivity for linear kinetic equations conserving mass. Zbl 1342.82115
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2015
Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046
Biler, Piotr; Dolbeault, Jean
2000
The optimal Euclidean $$L^{p}$$-Sobolev logarithmic inequality. Zbl 1091.35029
Del Pino, Manuel; Dolbeault, Jean
2003
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2009
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
2009
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Zbl 1256.35026
Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
2010
Hypocoercivity for kinetic equations with linear relaxation terms. Zbl 1177.35054
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2009
On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Zbl 0737.35127
Desvillettes, L.; Dolbeault, J.
1991
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
1995
“Bubble-tower” radial solutions in the slightly supercritical Brezis-Nirenberg problem. Zbl 1140.35413
Del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2003
On the eigenvalues of operators with gaps. Application to Dirac operators. Zbl 0982.47006
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric
2000
Lieb-Thirring inequalities with improved constants. Zbl 1152.35451
Dolbeault, Jean; Laptev, Ari; Loss, Michael
2008
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean
2011
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
2004
The two-dimensional Keller-Segel model after blow-up. Zbl 1180.35131
Dolbeault, Jean; Schmeiser, Christian
2009
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Zbl 1379.49021
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states). Zbl 1115.82316
Dolbeault, J.
1999
Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles. Zbl 0808.76084
Dolbeault, J.
1994
Hardy-Poincaré inequalities and applications to nonlinear diffusions. Zbl 1190.35119
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis
2007
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1182.26031
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella
2009
The Brezis-Nirenberg problem near criticality in dimension 3. Zbl 1130.35040
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2004
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. Zbl 1104.35021
Dolbeault, J.; Felmer, P.; Loss, M.; Paturel, E.
2006
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle. Zbl 1283.35117
Catto, I.; Dolbeault, J.; Sánchez, O.; Soler, J.
2013
Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane. Zbl 1297.35032
Campos, Juan F.; Dolbeault, Jean
2014
The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions. Zbl 1179.26055
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella
2008
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. Zbl 1320.26017
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2014
Geometry of phase space and solutions of semilinear elliptic equations in a ball. Zbl 1170.35039
Dolbeault, Jean; Flores, Isabel
2007
Nonlinear diffusions, hypercontractivity and the optimal $$L^{p}$$-Euclidean logarithmic Sobolev inequality. Zbl 1058.35124
Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan
2004
Nodal solutions for a sublinear elliptic equation. Zbl 1087.35033
Balabane, Mikhaël; Dolbeault, Jean; Ounaies, Hichem
2003
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
2007
A logarithmic Hardy inequality. Zbl 1209.26020
del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles
2010
Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model. Zbl 1176.35029
Blanchet, Adrien; Dolbeault, Jean; Escobedo, Miguel; Fernández, Javier
2010
Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the $$p$$-Laplacian. Zbl 1090.35096
Del Pino, Manuel; Dolbeault, Jean
2002
Nonlinear stability in $$L^p$$ for a confined system of charged particles. Zbl 1015.35015
Cáceres, María J.; Carrillo, José A.; Dolbeault, Jean
2002
An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis
2004
Improved interpolation inequalities, relative entropy and fast diffusion equations. Zbl 1450.46020
Dolbeault, Jean; Toscani, Giuseppe
2013
On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2006
Classification of the solutions of semilinear elliptic problems in a ball. Zbl 0968.35042
Benguria, Rafael D.; Dolbeault, Jean; Esteban, Maria J.
2000
Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case. Zbl 1057.70009
Dolbeault, Jean; Sánchez, Óscar; Soler, Juan
2004
On singular limits of mean-field equations. Zbl 1054.76086
Dolbeault, Jean; Markowich, Peter A.; Unterreiter, Andreas
2001
Relative entropies for kinetic equations in bounded domains (irreversibility, stationary solutions, uniqueness). Zbl 1044.76054
Ben Abdallah, Naoufel; Dolbeault, Jean
2003
Interpolation between logarithmic Sobolev and Poincaré inequalities. Zbl 1146.60063
Arnold, Anton; Bartier, Jean-Philippe; Dolbeault, Jean
2007
Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators. Zbl 1162.35329
Bosi, Roberta; Dolbeault, Jean; Esteban, Maria J.
2008
Non-existence and uniqueness results for supercritical semilinear elliptic equations. Zbl 1214.35026
Dolbeault, Jean; Stańczy, Robert
2010
Refined convex Sobolev inequalities. Zbl 1087.35018
Arnold, Anton; Dolbeault, Jean
2005
Spectral estimates on the sphere. Zbl 1293.35183
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari
2014
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
Stationary states in plasma physics: Maxwellian solutions of the Vlasov- Poisson system. Zbl 0758.35062
Dolbeault, J.
1991
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330
Dolbeault, J.; Nazaret, B.; Savaré, G.
2008
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024
Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038
Dolbeault, Jean; Toscani, Giuseppe
2016
Radial symmetry and symmetry breaking for some interpolation inequalities. Zbl 1246.26014
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella; Tertikas, Achilles
2011
Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1267.26018
Dolbeault, Jean; Esteban, Maria J.
2012
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian
2013
Multiplicity results for the assigned Gauss curvature problem in $$\mathbb R^2$$. Zbl 1165.35366
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella
2009
$$L^q$$-functional inequalities and weighted porous media equations. Zbl 1148.26018
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu
2008
Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034
Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion. Zbl 1272.26010
Dolbeault, Jean
2011
Variational characterization for eigenvalues of Dirac operators. Zbl 0968.49025
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric
2000
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. Zbl 1334.35098
Dolbeault, Jean; Toscani, Giuseppe
2016
Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Nonlinear flows and rigidity results on compact manifolds. Zbl 1294.58005
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2014
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
2012
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. Zbl 1276.58007
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2013
Symmetry and monotonicity properties for positive solutions of semi-linear elliptic PDE’s. Zbl 0947.35066
Dolbeault, Jean; Felmer, Patricio
2000
The Moser-Trudinger-Onofri inequality. Zbl 1347.46024
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard
2015
Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065
Dolbeault, Jean; Toscani, Giuseppe
2011
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
2004
Large time behaviour of solutions to nonhomogeneous diffusion equations. Zbl 1124.35011
Dolbeault, Jean; Karch, Grzegorz
2006
Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023
Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha
2009
Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1336.26023
Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles
2015
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo
2017
Symmetry of extremals of functional inequalities via spectral estimates for linear operators. Zbl 1301.26019
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2012
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
2014
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
2004
Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations. Zbl 1292.35033
Dolbeault, Jean; Esteban, Maria J.
2014
Asymptotic behavior of nonlinear diffusions. Zbl 1045.35009
Del Pino, Manuel; Dolbeault, Jean
2003
On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158
Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian
2000
Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods. Zbl 1361.35076
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
2001
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities. Zbl 1257.35007
Dolbeault, Jean; Campos, Juan
2012
Relativistic hydrogenic atoms in strong magnetic fields. Zbl 1130.81033
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2007
Compactness properties for trace-class operators and applications to quantum mechanics. Zbl 1151.81014
Dolbeault, J.; Felmer, P.; Mayorga-Zambrano, J.
2008
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013
Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz
2004
Hardy-type estimates for Dirac operators. Zbl 1156.35067
Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis
2007
A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Zbl 1117.35030
Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał
2007
The Euclidean Onofri inequality in higher dimensions. Zbl 1316.26025
del Pino, Manuel; Dolbeault, Jean
2013
Weighted interpolation inequalities: a perturbation approach. Zbl 1390.49005
Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Radial singular solutions of a critical problem in a ball. Zbl 1161.35387
Dolbeault, Jean; Esteban, Maria J.; Ramaswamy, Mythily
2002
Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case. Zbl 1096.35044
Dolbeault, Jean; Felmer, Patricio
2004
Sobolev and Hardy-Littlewood-Sobolev inequalities. Zbl 1303.26017
Dolbeault, Jean; Jankowiak, Gaspard
2014
About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities. Zbl 1255.35017
Dolbeault, Jean; Esteban, Maria J.
2012
From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2012
Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Zbl 1034.35047
Dolbeault, Jean; Monneau, Régis
2002
$$\varphi$$-entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations. Zbl 1411.82032
Dolbeault, Jean; Li, Xingyu
2018
Magnetic rings. Zbl 1390.81142
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Existence of sign changing solutions for an equation with a weighted $$p$$-Laplace operator. Zbl 1322.34034
Cortázar, Carmen; Dolbeault, Jean; García-Huidobro, Marta; Manásevich, Rául
2014
Hypocoercivity and sub-exponential local equilibria. Zbl 1456.82811
Bouin, E.; Dolbeault, J.; Lafleche, L.; Schmeiser, C.
2021
Hypocoercivity without confinement. Zbl 1448.82035
Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
A variational proof of Nash’s inequality. Zbl 1440.35070
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2020
Reverse Hardy-Littlewood-Sobolev inequalities. Zbl 1442.35011
Carrillo, José A.; Delgadino, Matías G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca
2019
$$\varphi$$-entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations. Zbl 1411.82032
Dolbeault, Jean; Li, Xingyu
2018
Magnetic rings. Zbl 1390.81142
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Interpolation inequalities and spectral estimates for magnetic operators. Zbl 1388.81104
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Symmetry and symmetry breaking: rigidity and flows in elliptic PDES. Zbl 1453.35066
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2018
Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo
2017
Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods. Zbl 1361.35076
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Weighted interpolation inequalities: a perturbation approach. Zbl 1390.49005
Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
2017
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109
Dolbeault, Jean; Kowalczyk, Michał
2017
Flows and functional inequalities for fractional operators. Zbl 06768006
Dolbeault, Jean; Zhang, An
2017
Interpolation inequalities on the sphere: linear vs. nonlinear flows. Zbl 1372.58017
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2017
Onofri inequalities and rigidity results. Zbl 1359.58015
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard
2017
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Zbl 1379.49021
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038
Dolbeault, Jean; Toscani, Giuseppe
2016
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. Zbl 1334.35098
Dolbeault, Jean; Toscani, Giuseppe
2016
Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization. Zbl 1386.35174
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Hypocoercivity for linear kinetic equations conserving mass. Zbl 1342.82115
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2015
The Moser-Trudinger-Onofri inequality. Zbl 1347.46024
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard
2015
Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1336.26023
Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles
2015
Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics. Zbl 1304.35697
Dolbeault, Jean; Stańczy, Robert
2015
Best matching Barenblatt profiles are delayed. Zbl 1311.35132
Dolbeault, Jean; Toscani, Giuseppe
2015
Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders. (Inégalités de Keller-Lieb-Thirring pour des opérateurs de Schrödinger sur des cylindres.) Zbl 1323.35035
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2015
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
2015
Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane. Zbl 1297.35032
Campos, Juan F.; Dolbeault, Jean
2014
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. Zbl 1320.26017
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2014
Spectral estimates on the sphere. Zbl 1293.35183
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari
2014
Nonlinear flows and rigidity results on compact manifolds. Zbl 1294.58005
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2014
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
2014
Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations. Zbl 1292.35033
Dolbeault, Jean; Esteban, Maria J.
2014
Sobolev and Hardy-Littlewood-Sobolev inequalities. Zbl 1303.26017
Dolbeault, Jean; Jankowiak, Gaspard
2014
Existence of sign changing solutions for an equation with a weighted $$p$$-Laplace operator. Zbl 1322.34034
Cortázar, Carmen; Dolbeault, Jean; García-Huidobro, Marta; Manásevich, Rául
2014
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle. Zbl 1283.35117
Catto, I.; Dolbeault, J.; Sánchez, O.; Soler, J.
2013
Improved interpolation inequalities, relative entropy and fast diffusion equations. Zbl 1450.46020
Dolbeault, Jean; Toscani, Giuseppe
2013
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian
2013
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. Zbl 1276.58007
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2013
The Euclidean Onofri inequality in higher dimensions. Zbl 1316.26025
del Pino, Manuel; Dolbeault, Jean
2013
Qualitative properties and existence of sign changing solutions with compact support for an equation with a $$p$$-Laplace operator. Zbl 1277.35187
Dolbeault, Jean; García-Huidobro, Marta; Manasevich, Raul
2013
Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Zbl 1267.26018
Dolbeault, Jean; Esteban, Maria J.
2012
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
2012
Symmetry of extremals of functional inequalities via spectral estimates for linear operators. Zbl 1301.26019
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2012
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities. Zbl 1257.35007
Dolbeault, Jean; Campos, Juan
2012
About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities. Zbl 1255.35017
Dolbeault, Jean; Esteban, Maria J.
2012
From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Zbl 1264.26011
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2012
Improved Poincaré inequalities. Zbl 1250.26018
Dolbeault, Jean; Volzone, Bruno
2012
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean
2011
Radial symmetry and symmetry breaking for some interpolation inequalities. Zbl 1246.26014
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella; Tertikas, Achilles
2011
Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion. Zbl 1272.26010
Dolbeault, Jean
2011
Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065
Dolbeault, Jean; Toscani, Giuseppe
2011
Improved intermediate asymptotics for the heat equation. Zbl 1223.35056
Bartier, Jean-Philippe; Blanchet, Adrien; Dolbeault, Jean; Escobedo, Miguel
2011
Extremal functions in some interpolation inequalities: symmetry, symmetry breaking and estimates of the best constants. Zbl 1244.26030
Dolbeault, Jean; Esteban, Maria J.
2011
Thermal effects in gravitational Hartree systems. Zbl 1226.85003
Aki, Gonca L.; Dolbeault, Jean; Sparber, Christof
2011
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Zbl 1256.35026
Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
2010
A logarithmic Hardy inequality. Zbl 1209.26020
del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles
2010
Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model. Zbl 1176.35029
Blanchet, Adrien; Dolbeault, Jean; Escobedo, Miguel; Fernández, Javier
2010
Non-existence and uniqueness results for supercritical semilinear elliptic equations. Zbl 1214.35026
Dolbeault, Jean; Stańczy, Robert
2010
Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”. Zbl 1269.35049
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2010
Relative equilibria in continuous stellar dynamics. Zbl 1203.35280
Campos, Juan; del Pino, Manuel; Dolbeault, Jean
2010
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2009
Asymptotics of the fast diffusion equation via entropy estimates. Zbl 1178.35214
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis
2009
Hypocoercivity for kinetic equations with linear relaxation terms. Zbl 1177.35054
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2009
The two-dimensional Keller-Segel model after blow-up. Zbl 1180.35131
Dolbeault, Jean; Schmeiser, Christian
2009
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1182.26031
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella
2009
Multiplicity results for the assigned Gauss curvature problem in $$\mathbb R^2$$. Zbl 1165.35366
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella
2009
Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023
Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha
2009
Orbitally stable states in generalized Hartree-Fock theory. Zbl 1171.35454
Dolbeault, Jean; Felmer, Patricio; Lewin, Mathieu
2009
Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions. Zbl 1174.82007
Benguria, R.; Dolbeault, J.; Monneau, R.
2009
Lieb-Thirring inequalities with improved constants. Zbl 1152.35451
Dolbeault, Jean; Laptev, Ari; Loss, Michael
2008
The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions. Zbl 1179.26055
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella
2008
Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators. Zbl 1162.35329
Bosi, Roberta; Dolbeault, Jean; Esteban, Maria J.
2008
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Zbl 1149.35330
Dolbeault, J.; Nazaret, B.; Savaré, G.
2008
$$L^q$$-functional inequalities and weighted porous media equations. Zbl 1148.26018
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu
2008
Compactness properties for trace-class operators and applications to quantum mechanics. Zbl 1151.81014
Dolbeault, J.; Felmer, P.; Mayorga-Zambrano, J.
2008
Characterization of the critical magnetic field in the Dirac-Coulomb equation. Zbl 1139.81034
Dolbeault, Jean; Esteban, Maria Jesus; Loss, Michael
2008
Localized minimizers of flat rotating gravitational systems. Zbl 1157.35112
Dolbeault, Jean; Fernández, Javier
2008
Hardy-Poincaré inequalities and applications to nonlinear diffusions. Zbl 1190.35119
Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis
2007
Geometry of phase space and solutions of semilinear elliptic equations in a ball. Zbl 1170.35039
Dolbeault, Jean; Flores, Isabel
2007
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
2007
Interpolation between logarithmic Sobolev and Poincaré inequalities. Zbl 1146.60063
Arnold, Anton; Bartier, Jean-Philippe; Dolbeault, Jean
2007
Relativistic hydrogenic atoms in strong magnetic fields. Zbl 1130.81033
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2007
Hardy-type estimates for Dirac operators. Zbl 1156.35067
Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis
2007
A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Zbl 1117.35030
Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał
2007
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023
Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit
2006
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. Zbl 1104.35021
Dolbeault, J.; Felmer, P.; Loss, M.; Paturel, E.
2006
On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Zbl 1100.35124
Blanchet, Adrien; Dolbeault, Jean; Monneau, Régis
2006
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024
Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034
Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Large time behaviour of solutions to nonhomogeneous diffusion equations. Zbl 1124.35011
Dolbeault, Jean; Karch, Grzegorz
2006
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators. Zbl 1157.47306
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric
2006
Convex Sobolev inequalities and spectral gap. Zbl 1086.60013
Bartier, Jean-Philippe; Dolbeault, Jean
2006
Stability for the gravitational Vlasov-Poisson system in dimension two. Zbl 1107.35009
Dolbeault, J.; Fernández, J.; Sánchez, O.
2006
Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Zbl 1140.35339
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2006
Refined convex Sobolev inequalities. Zbl 1087.35018
Arnold, Anton; Dolbeault, Jean
2005
On the one-dimensional parabolic obstacle problem with variable coefficients. Zbl 1081.35159
Blanchet, A.; Dolbeault, J.; Monneau, R.
2005
...and 49 more Documents
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#### Cited by 1,498 Authors

 83 Dolbeault, Jean 55 Carrillo de la Plata, José Antonio 29 Esteban, Maria J. 22 Vazquez, Juan Luis 20 Loss, Michael 19 Winkler, Michael 17 Del Pino, Manuel A. 17 Laptev, Ari 15 Biler, Piotr 15 Grillo, Gabriele 15 Perthame, Benoît 15 Toscani, Giuseppe 14 Blanchet, Adrien 13 Calvez, Vincent 13 Schmeiser, Christian 12 Ilyin, Alexei A. 12 Musso, Monica 12 Zhao, Jihong 11 Arnold, Anton 11 Carlen, Eric Anders 11 Lewin, Mathieu 11 Liu, Jianguo 11 Muratori, Matteo 10 Bonforte, Matteo 10 Di Francesco, Marco 10 Duan, Renjun 10 Fellner, Klemens 10 Matthes, Daniel 10 Ogawa, Takayoshi 9 Chen, Li 9 Frank, Rupert L. 9 Gentil, Ivan 9 Guillin, Arnaud 9 Markowich, Peter Alexander 9 Nguyễn Văn Hoàng 9 Pistoia, Angela 9 Zinsl, Jonathan 8 Agueh, Martial 8 Bonheure, Denis 8 Ceccon, Jurandir 8 Fila, Marek 8 Goudon, Thierry 8 Guerra, Ignacio A. 8 Karch, Grzegorz 8 McCann, Robert J. 8 Méhats, Florian 8 Mischler, Stéphane 8 Phan Thành Nam 8 Soler, Juan S. 8 Wang, Shu 8 Yi, Fahuai 7 Bedrossian, Jacob 7 Cui, Shangbin 7 Granero Belinchón, Rafael 7 Hoffmann, Franca 7 Jüngel, Ansgar 7 Laurençot, Philippe 7 Marigonda, Antonio 7 Mizoguchi, Noriko 7 Montenegro, Marcos 7 Mouhot, Clément 7 Stańczy, Robert 7 Sugiyama, Yoshie 7 Tarantello, Gabriella 7 Vega, Luis 7 Wang, Jinhuan 7 Yang, Tong 7 Yun, Seok-Bae 7 Zhao, Huijiang 6 Cancès, Clément 6 Cavagnari, Giulia 6 Chlebicka, Iwona 6 Felmer, Patricio L. 6 Ghoussoub, Nassif A. 6 He, Siming 6 Herda, Maxime 6 Ishige, Kazuhiro 6 Kim, Yong Jung 6 Kowalczyk, Michał 6 Laurent, Thomas 6 Lemou, Mohammed 6 Lin, Chang-Shou 6 Miyamoto, Yasuhito 6 Monmarché, Pierre 6 Monneau, Régis 6 Nagai, Toshitaka 6 Nazaret, Bruno 6 Ounaies, Hichem 6 Savaré, Giuseppe 6 Stoltz, Gabriel 6 Wei, Juncheng 6 Yamada, Tetsuya 6 Yamamoto, Masakazu 6 Zelik, Sergey V. 5 Bertozzi, Andrea Louise 5 Bolley, François 5 Cañizo, José Alfredo 5 Castéras, Jean-baptiste 5 Corrias, Lucilla 5 Dávila, Juan ...and 1,398 more Authors
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#### Cited in 238 Serials

 92 Journal of Differential Equations 77 Journal of Mathematical Analysis and Applications 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Journal of Functional Analysis 46 Archive for Rational Mechanics and Analysis 43 Calculus of Variations and Partial Differential Equations 36 Communications in Mathematical Physics 33 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 Discrete and Continuous Dynamical Systems 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 SIAM Journal on Mathematical Analysis 27 Journal of Mathematical Physics 27 Journal of Statistical Physics 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Communications in Partial Differential Equations 25 Kinetic and Related Models 17 Journal of Computational Physics 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 14 Acta Applicandae Mathematicae 14 Annales Henri Poincaré 11 Nonlinearity 11 Transactions of the American Mathematical Society 11 Advanced Nonlinear Studies 11 Multiscale Modeling & Simulation 10 Mathematical Methods in the Applied Sciences 10 NoDEA. Nonlinear Differential Equations and Applications 10 Journal of Evolution Equations 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Applied Mathematics Letters 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Nonlinear Analysis. Real World Applications 9 Communications on Pure and Applied Analysis 8 Applicable Analysis 8 Communications on Pure and Applied Mathematics 8 The Annals of Probability 8 Manuscripta Mathematica 8 Journal of Scientific Computing 8 Potential Analysis 8 Communications in Contemporary Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computers & Mathematics with Applications 7 Journal d’Analyse Mathématique 7 Chinese Annals of Mathematics. Series B 7 Physica D 7 The Journal of Geometric Analysis 7 Journal of the European Mathematical Society (JEMS) 6 Inventiones Mathematicae 6 Monatshefte für Mathematik 6 Revista Matemática Iberoamericana 6 Discrete and Continuous Dynamical Systems. Series S 5 Transport Theory and Statistical Physics 5 Advances in Mathematics 5 Mathematische Zeitschrift 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 European Journal of Applied Mathematics 5 SIAM Journal on Applied Mathematics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Mathematical Sciences (New York) 5 Bulletin des Sciences Mathématiques 5 Bernoulli 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Discrete and Continuous Dynamical Systems. Series B 5 Milan Journal of Mathematics 5 Advances in Calculus of Variations 5 Séminaire Laurent Schwartz. EDP et Applications 4 Journal of Mathematical Biology 4 Letters in Mathematical Physics 4 Mathematics of Computation 4 Reviews in Mathematical Physics 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 The Annals of Applied Probability 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Dynamics and Differential Equations 4 St. Petersburg Mathematical Journal 4 Acta Mathematica Sinica. English Series 4 Boundary Value Problems 4 Bulletin of Mathematical Sciences 4 SIAM/ASA Journal on Uncertainty Quantification 3 Reports on Mathematical Physics 3 Applied Mathematics and Optimization 3 Journal of the London Mathematical Society. Second Series 3 Ricerche di Matematica 3 Probability Theory and Related Fields 3 Mathematical and Computer Modelling 3 Stochastic Processes and their Applications 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Nonlinear Science 3 Doklady Mathematics 3 Revista Matemática Complutense 3 Foundations of Computational Mathematics 3 Networks and Heterogeneous Media 3 Journal of Spectral Theory 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 3 Journal de l’École Polytechnique – Mathématiques ...and 138 more Serials
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#### Cited in 45 Fields

 1,120 Partial differential equations (35-XX) 235 Statistical mechanics, structure of matter (82-XX) 196 Biology and other natural sciences (92-XX) 165 Fluid mechanics (76-XX) 145 Real functions (26-XX) 137 Functional analysis (46-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 113 Numerical analysis (65-XX) 107 Probability theory and stochastic processes (60-XX) 97 Operator theory (47-XX) 88 Quantum theory (81-XX) 82 Global analysis, analysis on manifolds (58-XX) 48 Ordinary differential equations (34-XX) 40 Differential geometry (53-XX) 36 Optics, electromagnetic theory (78-XX) 28 Dynamical systems and ergodic theory (37-XX) 26 Integral equations (45-XX) 20 Astronomy and astrophysics (85-XX) 20 Information and communication theory, circuits (94-XX) 19 Mechanics of particles and systems (70-XX) 18 Difference and functional equations (39-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Mechanics of deformable solids (74-XX) 11 Operations research, mathematical programming (90-XX) 10 Measure and integration (28-XX) 10 Convex and discrete geometry (52-XX) 10 Statistics (62-XX) 8 Potential theory (31-XX) 8 Special functions (33-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Systems theory; control (93-XX) 7 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)