Imbert, Cyril

1. Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
   2016/07/27 by Golse, F, Imbert, Cyril, Mouhot, Clément +1 · 8 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
   2011/07/16 by Barles, Guy, Chasseigne, Emmanuel, Ciomaga, Adina +1 · 5 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
   2010/09/03 by Guy Barles, Barles, Guy, Emmanuel Chasseigne +3 · 3 citations
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
4. Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations
   2021/02/08 by Jessica Guerand, Guerand, Jessica, Cyril Imbert +1 · 2 citations
   Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Nonlinear Partial Differential Equations #Statistical Mechanics and Entropy
5. The weak Harnack inequality for the Boltzmann equation without cut-off
   2016/08/26 by Imbert, Cyril, Silvestre, Luis · 2 citations
   #35K99 #35Q20 #35R09 #45K05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. On the monotonicity of the Fisher information for the Boltzmann equation
   2024/09/02 by Imbert, Cyril, Silvestre, Luis, Villani, Cédric · 5 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
7. Phasefield theory for fractional diffusion-reaction equations and applications
   2009/07/31 by Imbert, Cyril, Souganidis, Panagiotis E. · 1 citation
   #34E10 #45G05 #45K05 #47G20 #49L25 #53C44 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Global regularity estimates for the Boltzmann equation without cut-off
   2019/09/27 by Cyril Imbert, Luís Silvestre, Imbert, Cyril +1 · 2 citations
   Mathematics · #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
9. Hölder gradient estimates for a class of singular or degenerate parabolic equations
   2016/09/05 by Imbert, Cyril, Jin, Tianling, Silvestre, Luis · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
10. Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential
    2019/06/06 by Golse, François, Gualdani, Maria Pia, Imbert, Cyril +1 · 1 citation
    #35B65 #35K15 (Primary) 35B44 (Secondary) #35Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Gaussian lower bounds for the Boltzmann equation without cut-off
    2019/03/27 by Imbert, Cyril, Mouhot, Clément, Silvestre, Luis · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Regularity for the Boltzmann equation conditional to macroscopic bounds
    2020/05/06 by Imbert, Cyril, Silvestre, Luis · 1 citation
    #35Q20 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. The twin blow-up method for Hamilton-Jacobi equations in higher dimension
    2024/01/15 by Forcadel, Nicolas, Imbert, Cyril, Monneau, Regis · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
14. Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness
    2024/03/26 by Auscher, Pascal, Imbert, Cyril, Niebel, Lukas · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
15. Fundamental solutions to Kolmogorov-Fokker-Planck equations with rough coefficients: existence, uniqueness, upper estimates
    2024/03/26 by Auscher, Pascal, Imbert, Cyril, Niebel, Lukas · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics