Periodic reiterated homogenization for elliptic functions

Journal des Mathematiques Pures et Appliquees

Volumn 84, Issue 12, 2005, Pages 1716-1743

  Meunier, Nicolas ^a   Van Schaftingen, Jean ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Elliptic functions; Homogenization; Unfolding operators

Indexed keywords

EID: 27844588904     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2005.08.003     Document Type: Article

References (15)

1. G. Allaire M. Briane Multiscale convergence and reiterated homogenization Proc. Roy. Soc. Edinburgh Sect. A 126 1996 297-342
2. A. Bensoussan J.-L. Lions G.C. Papanicolaou Asymptotic Analysis for Periodic Structure 1978 North-Holland Amsterdam
3. D. Cioranescu A. Damlamian G. Griso Periodic unfolding and homogenization C. R. Math. Acad. Sci. Paris 335 1 2002 99-104
4. A. Damlamian, seminar talk at Homogenization and Multiscale, 2004
5. 0-convergence and iterated homogenization Asymptot. Anal. 39 2004 45-60
6. A. Damlamian, N. Meunier, J. Van Schaftingen, Periodic homogenization of monotone operators, in preparation
7. G. Griso Error estimate and unfolding for periodic homogenization Asymptot. Anal. 40 2004 269-286
8. J.L. Lions Quelques méthodes de résolution des problèmes aux limites non linéaires 1969 Dunod, Gauthiers-Villars Paris
9. J.L. Lions D. Lukkassen P.E. Persson P. Wall Reiterated homogenization of nonlinear monotone operators Chin. Ann. Math. B 22 2001 1-12
10. D. Lukkassen P. Wall On weak convergence of locally periodic functions J. Nonlinear Math. Phys. 9 1 2002 42-57
11. N. Meunier J. Van Schaftingen Homogenization of elliptic operators C. R. Math. Acad. Sci. Paris Ser. I 340 2005 209-214
12. F. Murat L. Tartar H-convergence Topics Math. Modelling Composite Mater. 1997 1-43
13. E. Sanchez-Palencia in: Non-Homogeneous Media and Vibration Theory 1980 Springer-Verlag Berlin, NewYork 1-12
14. L. Tartar Cours Peccot 1977 Collège de France
15. P. Wall Some homogenization and corrector results for nonlinear monotone operators J. Nonlinear Math. Phys. 5 3 1998 331-348