Random homogenization of an obstacle problem

L. A. Caffarelli; A. Mellet

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 2, page 375-395
  • ISSN: 0294-1449

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Caffarelli, L. A., and Mellet, A.. "Random homogenization of an obstacle problem." Annales de l'I.H.P. Analyse non linéaire 26.2 (2009): 375-395. <http://eudml.org/doc/78847>.

@article{Caffarelli2009,
author = {Caffarelli, L. A., Mellet, A.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {stationary ergodic process; auxiliary obstacle problem},
language = {eng},
number = {2},
pages = {375-395},
publisher = {Elsevier},
title = {Random homogenization of an obstacle problem},
url = {http://eudml.org/doc/78847},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Caffarelli, L. A.
AU - Mellet, A.
TI - Random homogenization of an obstacle problem
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 2
SP - 375
EP - 395
LA - eng
KW - stationary ergodic process; auxiliary obstacle problem
UR - http://eudml.org/doc/78847
ER -

References

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  1. [1] Akcoglu M.A., Krengel U., Ergodic theorems for superadditive processes, J. Reine Angew. Math.323 (1981) 53-67. Zbl0453.60039MR611442
  2. [2] Carbone L., Colombini F., On convergence of functionals with unilateral constraints, J. Math. Pures Appl. (9)59 (4) (1980) 465-500. Zbl0415.49010MR607050
  3. [3] Caffarelli L.A., Souganidis P.E., Wang L., Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media, Comm. Pure Appl. Math.58 (3) (2005) 319-361. Zbl1063.35025MR2116617
  4. [4] Cioranescu D., Murat F., Un terme étrange venu d'ailleurs, in: Nonlinear Partial Differential Equations and their Applications. Collège de France Seminar, vol. II, Paris, 1979/1980, Res. Notes in Math, vol. 60, Pitman, Boston, MA, 1982, pp. 98-138, 389–390. Zbl0496.35030MR652509
  5. [5] Cioranescu D., Murat F., Un terme étrange venu d'ailleurs. II, in: Nonlinear Partial Differential Equations and their Applications. Collège de France Seminar, vol. III, Paris, 1980/1981, Res. Notes in Math., vol. 70, Pitman, Boston, MA, 1982, pp. 154-178, 425–426. Zbl0498.35034MR670272
  6. [6] Dal Maso G., Asymptotic behaviour of minimum problems with bilateral obstacles, Ann. Mat. Pura Appl. (4)129 (1981) 327-366. MR648338
  7. [7] Dal Maso G., Longo P., Γ-limits of obstacles, Ann. Mat. Pura Appl. (4)128 (1981) 1-50. Zbl0467.49004MR640775
  8. [8] Dal Maso G., Modica L., Nonlinear stochastic homogenization and ergodic theory, J. Reine Angew. Math.368 (1986) 28-42. Zbl0582.60034MR850613
  9. [9] De Giorgi E., Dal Maso G., Longo P., Γ-limits of obstacles, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8)68 (6) (1980) 481-487. Zbl0512.49011MR639976

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