Welcome   Page web en français


Cyril Imbert

C. Imbert's picture
CEREMADE, Université Paris-Dauphine, Pl. de Lattre de Tassigny, 75775 Paris cedex 16, France
Office B 619, 6th floor   --   Phone : 00 (33) 1  44  05  47  96  --   Fax : 00 (33) 1  44  05   45   99 -- imbert (at) ceremade (dot) dauphine (dot) fr
Main research topics Papers
  1. Convex Analysis techniques for Hopf-Lax formulae in Hamilton-Jacobi equations.
    Journal of Nonlinear and Convex Analysis Vol 2, No 3 (2001) pp. 333-343 pdf file on HAL
  2. Support functions of Clarke's generalized jacobian and of its plenary hull.
    Nonlinear Analysis, Theory, Methods and Applications, Vol 29, No 8 (2002) pp. 1111-1125 pdf file on HAL
  3. Some regularity results for anisotropic motion of fronts.
    Differential and Integral Equations, Vol 15, No 10 (2002) pp. 1263-1271 pdf file on HAL
  4. On vectorial Hamiton-Jacobi equations. With Michel Volle.
    Control and Cybernetics, Vol 31, No 3 (2002) pp. 493-506 pdf file on HAL
  5. A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. With J. Vovelle
    SIAM - Mathematical Analysis, Vol 36, Issue 1 (2004), pp. 214-232 pdf file on HAL
  6. An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. With J. Droniou and J. Vovelle.
    Annales de l'Institut Henri Poincaré - Analyse non linéaire, Vol 21, Issue 5 (2004), pp. 689-714 pdf files on HAL
  7. A non-local regularization of first order Hamilton-Jacobi equations.
    Journal of Differential Equations, Vol 211, Issue 1 (2005), pp. 218-246 pdf file on HAL
  8. Convexity of solutions and C1,1 estimates for fully nonlinear elliptic equations.
    Journal de Mathématiques Pures et Appliquées, Vol 85, Issue 6 (2006), pp. 791-807 pdf file on HAL
  9. Fractal first order partial differential equations. With J. Droniou.
    Archive for Rational Mechanics and Analysis, Vol 182, No 2 (2006), pp. 299-331 pdf file on HAL
  10. Homogenization of first order equations with (u/epsilon)-periodic Hamiltonians. Part II: application to dislocation dynamics. With R. Monneau and E. Rouy.
    Communications in PDEs (2008), Volume 33, Issue 3, 479 - 516 pdf file on HAL
  11. Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited. With G. Barles.
    Annales de l'IHP (2008), Volume 25, Issue 3, 567-585 ps and pdf files on HAL
  12. Homogenization of first order equations with (u/epsilon)-periodic Hamiltonians. Part I: local equations. With R. Monneau.
    Archive for Rational Mechanics and Analysis 187 (2008), to p. 49-89 pdf file on HAL
  13. The Dirichlet problem for second-order elliptic integro-differential equations. With G. Barles and E. Chasseigne.
    Indiana Univ. Math. J. (2008), Volume 57, Issue 1, pp. 213-246 pdf file on HAL
  14. The Lévy-Fokker-Planck equation: Φ-entropies and convergence to equilibrium. With I. Gentil.
    Asymptotic Analysis (2008), Vol 59, No 3-4, 125-138 pdf file on HAL
  15. Fractional semi-linear parabolic equations with unbounded data. With N. Alibaud.
    Transactions of the AMS 361 (2009), 2527-2566 Pdf file on HAL
  16. Homogenization of fully overdamped Frenkel-Kontorova models. With N. Forcadel and R. Monneau.
    J. Differential Equations (2009), Volume 246, p. 1057-1097 Pdf file on HAL
  17. Homogenization of the dislocation dynamics and of some particle systems with two-body interactions. With N. Forcadel and R. Monneau.
    Discrete and Continuous Dynamical Systems - Serie A 23 (2009), no 3, 785-826 Pdf file on HAL
  18. Level set approach for fractional mean curvature flows.
    Interfaces and Free Boundaries (2009), Vol 11, Issue 1, 153-176 Pdf file on HAL
  19. Hölder continuity of solutions of second-order elliptic integro-differential equations. With G. Barles and E. Chasseigne.
    Journal of the European Mathematical Society (to appear) Pdf file on HAL
  20. Optimal control under stochastic target constraints. With B. Bouchard and R. Elie.
    SIAM J. Control Optim. Volume 48, Issue 5, pp. 3501-3531 (2010) File on HAL
  21. Asymptotic properties of entropy solutions to fractal Burgers equations. With N. Alibaud and G. Karch.
    SIAM J. Math. Anal. Volume 42, Issue 1, pp. 354-376 (2010)     Files on HAL
  22. Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate fully non-linear elliptic equations
    Journal of Differential Equations" (to appear) Files on HAL
  23. Repeated games for eikonal equations, integral curvature flows and integro-differential parabolic equations. With S. Serfaty.
    Discrete Cont. Dyn. Syst. (to appear)     File on HAL

Preprints
  1. Homogenization of overdamped Frenkel-Kontorova models with n types of particles. With N. Forcadel and R. Monneau. File on HAL
  2. Phasefield theory for fractional diffusion-reaction equations and applications. With T. Souganidis. File on HAL
  3. Fractal porous medium equation (note submitted for publication to CRAS). With P. Biler and G. Karch.File on HAL
  4. Existence of solutions for a higher order non-local equation appearing in crack dynamics. With A. Mellet. HAL, arXiv
  5. Spirals moving by mean curvature. Part I: a comparison principle. With N. Forcadel and R. Monneau. HAL, arXiv

Book chapter
  1. Viscosity solutions for particle systems and homogenization of dislocation dynamics. Avec N. Forcadel et R. Monneau
    "On the notions of solution to nonlinear elliptic problems: results and developments",
    Quaderni di Matematica, 23. Department of Mathematics, Seconda Universita di Napoli, Caserta, 2008.
    Editors A. Alvino, A. Mercaldo, F. Murat, I. Peral
Notes and proceedings
  1. Les fonctions d'appui de la jacobienne généralisée de Clarke et de son enveloppe plénière. With J.-B. Hiriart-Urruty.
    C. R. Acad. Sci. Paris Sér. I Math., Vol 326 No 11 (1998), pp. 1275-1278 pdf file on HAL
  2. Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation.
    With I. Gentil. Proceedings -- Hammamet 2007 Pdf file on HAL