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Dolbeault, Jean

  1. Hypocoercivity for linear kinetic equations conserving mass
    2010/05/10 by Jean Dolbeault, Dolbeault, Jean, Clément Mouhot +3 · 18 citations
    Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Spectral Theory (math.SP)
  2. Reverse Hardy-Littlewood-Sobolev inequalities
    2018/03/16 by Dolbeault, Jean, Frank, Rupert, Hoffmann, Franca · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Multiplicity results for the assigned Gauss curvature problem in R2
    2008/09/23 by Jean Dolbeault, Maria J. Esteban, Dolbeault, Jean +3 · 2 citations
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering
  4. Nonlinear flows and rigidity results on compact manifolds
    2013/02/04 by Dolbeault, Jean, Esteban, Maria J., Loss, Michael · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Hypocoercivity without confinement
    2017/08/21 by Bouin, Emeric, Dolbeault, Jean, Mischler, Stéphane +2 · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. The Moser-Trudinger-Onofri inequality
    2014/03/20 by Dolbeault, Jean, Esteban, Maria J., Jankowiak, Gaspard · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
    2016/02/26 by Matteo Bonforte, Bonforte, Matteo, Jean Dolbeault +5 · 2 citations
    Mathematics · Computer Science · Materials Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena
  8. Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
    2016/02/26 by Matteo Bonforte, Jean Dolbeault, Bonforte, Matteo +5 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations
  9. Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle
    2013/06/16 by Isabelle Catto, Jean Dolbeault, Catto, Isabelle +5 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
  10. Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators
    2022/10/06 by Jean Dolbeault, David Gontier, Dolbeault, Jean +5 · 4 citations
    Computer Science · Mathematics · #47A75 #47B25 #49J35 #49R05 #81Q10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
  11. L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system
    2019/09/27 by Lanoir Addala, Jean Dolbeault, Addala, Lanoir +5 · 2 citations
    Mathematics · Physics and Astronomy · Economics, Econometrics and Finance · #Gas Dynamics and Kinetic Theory #Statistical Mechanics and Entropy #Stochastic processes and financial applications
  12. Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
    2020/07/01 by Matteo Bonforte, Jean Dolbeault, Bonforte, Matteo +5 · 2 citations
    Mathematics · #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Geometric Analysis and Curvature Flows
  13. Lieb-Thirring inequalities with improved constants
    2007/08/08 by Jean Dolbeault, Dolbeault, Jean, Ари Лаптев +3 · 1 citation
    Engineering · Mathematics · #35P15 #81Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fatigue and fracture mechanics #Spectral Theory in Mathematical Physics
  14. About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities
    2010/11/24 by Dolbeault, Jean, Esteban, Maria J. · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Improved interpolation inequalities, relative entropy and fast diffusion equations
    2011/10/24 by Dolbeault, Jean, Toscani, Giuseppe · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. Existence and stability of infinite time blow-up in the Keller-Segel system
    2019/11/27 by Juan Dávila, Manuel del Pino, Davila, Juan +7 · 2 citations
    Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Slime Mold and Myxomycetes Research
  17. Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane
    2012/06/09 by Serrano, Juan Campos, Dolbeault, Jean · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  18. Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
    2022/11/23 by Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita · 2 citations
    #26D10 #39B62 #43A90 #46E35 #49J40 #58J99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
  19. Sobolev and Hardy-Littlewood-Sobolev inequalities
    2013/12/09 by Jean Dolbeault, Gaspard Jankowiak, Dolbeault, Jean +1 · 1 citation
    Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations
  20. \mathrm L2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states
    2023/04/24 by Bouin, Emeric, Dolbeault, Jean, Ziviani, Luca · 3 citations
    #35H10 #35K65 #35P15 #35Q84 #76P05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
  21. Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities
    2014/12/01 by Dolbeault, Jean, Toscani, Giuseppe · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  22. Stability for the logarithmic Sobolev inequality
    2023/03/22 by Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita · 2 citations
    #35A23 #35K85 #39B62 #47J20 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
  23. A short review on Improvements and stability for some interpolation inequalities
    2024/02/13 by Dolbeault, Jean, Esteban, Maria J., Figalli, Alessio +2 · 2 citations
    #35A23 #49J40 (Primary) 26D10 #58E35 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
  24. Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators
    2020/12/11 by Kléber Carrapatoso, Carrapatoso, Kleber, Jean Dolbeault +6 · 1 citation
    Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations
  25. Special macroscopic modes and hypocoercivity
    2021/05/11 by Kléber Carrapatoso, Carrapatoso, Kleber, Jean Dolbeault +9 · 1 citation
    Mathematics · #35Q83 #76P05 #82C40 #82C70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph)
  26. Hardy-Littlewood-Sobolev and related inequalities: stability
    2022/02/07 by Dolbeault, Jean, Esteban, Maria J. · 1 citation
    #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
  27. Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
    2022/02/19 by Matteo Bonforte, Jean Dolbeault, Bonforte, Matteo +5 · 1 citation
    Computer Science · Engineering · Mathematics · #26D10 #35B40 #35K55 #46E35 #49K20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
  28. Optimal functional inequalities for fractional operators on the sphere and applications
    2016/08/31 by Dolbeault, Jean, Zhang, An · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  29. Flows and functional inequalities for fractional operators
    2016/11/29 by Jean Dolbeault, Dolbeault, Jean, An Zhang +1 · 1 citation
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering