Fibered microstructures for some nonlocal Dirichlet forms
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 30 (2001) no. 3-4, pp. 681-711.
@article{ASNSP_2001_4_30_3-4_681_0,
     author = {Briane, Marc and Tchou, Nicoletta},
     title = {Fibered microstructures for some nonlocal {Dirichlet} forms},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {681--711},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 30},
     number = {3-4},
     year = {2001},
     zbl = {02216902},
     mrnumber = {1896082},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/}
}
TY  - JOUR
AU  - Briane, Marc
AU  - Tchou, Nicoletta
TI  - Fibered microstructures for some nonlocal Dirichlet forms
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2001
DA  - 2001///
SP  - 681
EP  - 711
VL  - Ser. 4, 30
IS  - 3-4
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/
UR  - https://zbmath.org/?q=an%3A02216902
UR  - https://www.ams.org/mathscinet-getitem?mr=1896082
LA  - en
ID  - ASNSP_2001_4_30_3-4_681_0
ER  - 
%0 Journal Article
%A Briane, Marc
%A Tchou, Nicoletta
%T Fibered microstructures for some nonlocal Dirichlet forms
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2001
%P 681-711
%V Ser. 4, 30
%N 3-4
%I Scuola normale superiore
%G en
%F ASNSP_2001_4_30_3-4_681_0
Briane, Marc; Tchou, Nicoletta. Fibered microstructures for some nonlocal Dirichlet forms. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 30 (2001) no. 3-4, pp. 681-711. http://www.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/

[ 1 ] C. Amrouche - V. Girault, Decomposition of vector spaces and application to the stokes problem in arbitrary dimension, Czechoslovak Math. J. 44 (1994), 109-140. | MR | Zbl

[2] H. Attouch, "Variational convergence for function and operators", Pitman, 1984. | MR | Zbl

[3] M. Bellieud - G. Bouchitté, Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 26 (1998), 407-436. | Numdam | MR | Zbl

[4] A. Beurling - J. Deny, Espaces de Dirichlet. I. Le cas élémentaire, Acta Math. 99 (1958), 203-224. | MR | Zbl

[5] A. Beurling - J. Deny, Dirichlet spaces, Proc. Nat. Acad. Sci. USA 45 (1959), 208-215. | MR | Zbl

[6] M E. Bogovskii, Solution of the first boundary value problem for an equation ofcontinuity of an incompressible medium, Dokl. Akad. Nauk SSSR 248 (1979), 1037-1040. | MR | Zbl

[7] G. Bouchitté - C. Picard, Singular perturbations and homogenization in stratified media, Appl. Anal. 61 (1996), 307-341. | MR | Zbl

[8] D. Cioranescu - F. Murat, "Un terme étrange venu d' ailleurs", Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, 82. | Zbl

[9] G. Dal Maso - U. Mosco, Wiener's criterion and γ-convergence, Appl. Math. Optim. 15 (1987), 15-63. | Zbl

[10] V.N. Fenchenko - E. Ya. Khruslov, The asymptotics of the solutions of differential equations with a strongly oscillating coefficient matrix not satisfying the condition of uniform limitation, Dokl. Akad. Nauk Ukrain. SSR Ser. A 4 (1981), 23-27. | MR | Zbl

[11] M. Fukushima, "Dirichlet forms and markov processes", North-Holland Math. Library 23, North Holland, Amsterdam, 1980. | MR | Zbl

[12] R. Gulliver - G. Dal Maso - U. Mosco, Asymptotic spectrum of manifolds of increasing topological type, to appear.

[ 13] E. De Giorgi - T. Franzoni, Su un tipo di convergenza variazionale, part 1, Atti Accademia Nazionale dei Lincei, Rend. Cl. Sci. Mat. Fis. Natur., 1975. | Zbl

[14] E. De Giorgi - T. Franzoni, Su un tipo di convergenza variazionale, part 2, Rend. Sem. Mat. Brescia, 1979. | MR

[15] E. Ya. Khruslov, Homogenized models of composite media, in Composite media and homogenization theory (Trieste, 1990), pages 159-182. Birkhäuser Boston, Boston, MA, 1991. | MR | Zbl

[16] Y. Lejan, Mesures associées a une forme de dirichlet. Applications, Bull. Soc. Math. France, 1978. | Numdam | MR | Zbl

[17] V.A. Marchenko - E. Ya. Khruslov, "Boundary value problems in domains with fine-grained boundaries", Naukova Dumka, Kiev, 1974. | Zbl

[18] G. Dal Maso, "An introduction to r-convergence", Birkhäuser Boston Inc., Boston, MA, 1993. | MR | Zbl

[19] G. Dal Maso - U. Mosco, Wiener criteria and energy decayfor relaxed dirichlet problems, Arch. Rat. Mech. Anal., 86. | Zbl

[20] U. Mosco, Some variational aspects of discontinuous media, Boll. Un. Mat. Ital. A (7), 7 (1993), 149-198. | MR | Zbl

[21] U. Mosco, Composite media and asymptotic Dirichlet forms, J. Funct. Anal., 123 (1994), 368-421. | MR | Zbl

[22] L. Tartar, Nonlocal effects induced by homogenization, in Partial differential equations and the calculus of variations, Vol. II, pages 925-938. Birkhäuser Boston, Boston, MA, 1989. | MR | Zbl