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Cyril Imbert

  • Elu au Conseil d'Administration de l'université Paris-Dauphine
  • Responsable de la troisième année de licence de mathématiques appliquées
 Photo
CEREMADE, Université Paris-Dauphine, Pl. de Lattre de Tassigny, 75775 Paris cedex 16, France
Bureau B 619, 6ème étage   --   Tél : 00 (33) 1  44  05  47  96  --   Fax : 00 (33) 1  44  05   45   99 -- imbert (at) ceremade (dot) dauphine (dot) fr
Thèmes de recherche Publications
  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 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 HAL
  3. Some regularity results for anisotropic motion of fronts.
    Differential and Integral Equations, Vol 15, No 10 (2002) pp. 1263-1271 HAL
  4. On vectorial Hamiton-Jacobi equations. Avec Michel Volle.
    Control and Cybernetics, Vol 31, No 3 (2002) pp. 493-506 HAL
  5. A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications. Avec J. Vovelle
    SIAM - Mathematical Analysis, Vol 36, Issue 1 (2004), pp. 214-232 HAL
  6. An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Avec J. Droniou et J. Vovelle.
    Annales de l'Institut Henri Poincaré - Analyse non linéaire, Vol 21, Issue 5 (2004), pp. 689-714 HAL
  7. A non-local regularization of first order Hamilton-Jacobi equations.
    Journal of Differential Equations, Vol 211, Issue 1 (2005), pp. 218-246 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 HAL
  9. Fractal first order partial differential equations. Avec J. Droniou.
    Archive for Rational Mechanics and Analysis, Vol 182, No 2 (2006), pp. 299-331 HAL
  10. Homogenization of first order equations with (u/ε)-periodic Hamiltonians. Part II: application to dislocation dynamics. Avec R. Monneau et E. Rouy.
    Communications in PDEs (2008), Volume 33, No 3, 479 -- 516 HAL
  11. Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited. Avec G. Barles.
    Annales de l'IHP (2008), Volume 25, No 3, Pages 567-585 HAL, arXiv
  12. Homogenization of first order equations with (u/ε)-periodic Hamiltonians. Part I: local equations. Avec R. Monneau.
    Archive for Rational Mechanics and Analysis 187 (2008), 49-89 HAL
  13. The Dirichlet problem for second-order elliptic integro-differential equations. Avec G. Barles et E. Chasseigne.
    Indiana Univ. Math. J. (2008), Volume 57, No 1, 213-146 HAL
  14. The Lévy-Fokker-Planck equation: Φ-entropies and convergence to equilibrium. Avec I. Gentil.
    Asymptotic Analysis (2008), Vol 59, No 3-4, 125-138 HAL
  15. Fractional semi-linear parabolic equations with unbounded data. Avec N. Alibaud.
    Transations of the American Mathematical Society 361 (2009), 2527-2566 HAL
  16. Homogenization of the fully overdamped Frenkel-Kontorova models. Avec N. Forcadel et R. Monneau.
    J. Differential Equations 246 (2009), 1057-1097 HAL
  17. Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Avec N. Forcadel et R. Monneau.
    Discrete and Continuous Dynamical Systems - Serie A 23 (2009), no 3, 785-826 HAL
  18. Level set approach for fractional mean curvature flows.
    Interfaces and Free Boundaries (2009), Vol 11, Issue 1, 153-176 HAL, arXiv
  19. Hölder continuity of solutions of second-order elliptic integro-differential equations. Avec G. Barles et E. Chasseigne.
    Journal of the European Mathematical Society (à paraître) HAL
  20. Optimal control under stochastic target constraints. Avec B. Bouchard et R. Elie.
    SIAM J. Control Optim. Volume 48, Issue 5, pp. 3501-3531 (2010) HAL
  21. Asymptotic properties of entropy solutions to fractal Burgers equations. Avec N. Alibaud et G. Karch.
    SIAM J. Math. Anal. Volume 42, Issue 1, pp. 354-376 (2010) HAL, arXiv
  22. Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate fully non-linear elliptic equations.
    Journal of Differential Equations (à paraître) HAL, arXiv
  23. Repeated games for eikonal equations, integral curvature flows and integro-differential parabolic equations. Avec S. Serfaty.
    Discrete Contin. Dyn. Syst. (à paraître) HAL, arXiv

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

Contribution à ouvrage
  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.
    Editeurs A. Alvino, A. Mercaldo, F. Murat, I. Peral
Notes et Proceedings
  1. Les fonctions d'appui de la jacobienne généralisée de Clarke et de son enveloppe plénière.
    Avec J.-B. Hiriart-Urruty. C. R. Acad. Sci. Paris Sér. I Math., Vol 326 No 11 (1998), pp. 1275-1278 HAL
  2. Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation.
    Avec I. Gentil. Stochastics An International Journal of Probability and Stochastic Processes, 81:3, 401-414 arxiv