@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}, mrnumber = {1896082}, zbl = {02216902}, language = {en}, url = {http://archive.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 SP - 681 EP - 711 VL - 30 IS - 3-4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/ 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 30 %N 3-4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/ %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, Série 4, Tome 30 (2001) no. 3-4, pp. 681-711. http://archive.numdam.org/item/ASNSP_2001_4_30_3-4_681_0/
[ 1 ] Decomposition of vector spaces and application to the stokes problem in arbitrary dimension, Czechoslovak Math. J. 44 (1994), 109-140. | MR | Zbl
- ,[2] "Variational convergence for function and operators", Pitman, 1984. | MR | Zbl
,[3] 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] Espaces de Dirichlet. I. Le cas élémentaire, Acta Math. 99 (1958), 203-224. | MR | Zbl
- ,[5] Dirichlet spaces, Proc. Nat. Acad. Sci. USA 45 (1959), 208-215. | MR | Zbl
- ,[6] 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] Singular perturbations and homogenization in stratified media, Appl. Anal. 61 (1996), 307-341. | MR | Zbl
- ,[8] "Un terme étrange venu d' ailleurs", Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, 82. | Zbl
- ,[9] Wiener's criterion and γ-convergence, Appl. Math. Optim. 15 (1987), 15-63. | Zbl
- ,[10] 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] "Dirichlet forms and markov processes", North-Holland Math. Library 23, North Holland, Amsterdam, 1980. | MR | Zbl
,[12] Asymptotic spectrum of manifolds of increasing topological type, to appear.
- - ,[ 13] Su un tipo di convergenza variazionale, part 1, Atti Accademia Nazionale dei Lincei, Rend. Cl. Sci. Mat. Fis. Natur., 1975. | Zbl
- ,[14] Su un tipo di convergenza variazionale, part 2, Rend. Sem. Mat. Brescia, 1979. | MR
- ,[15] Homogenized models of composite media, in Composite media and homogenization theory (Trieste, 1990), pages 159-182. Birkhäuser Boston, Boston, MA, 1991. | MR | Zbl
,[16] Mesures associées a une forme de dirichlet. Applications, Bull. Soc. Math. France, 1978. | Numdam | MR | Zbl
,[17] "Boundary value problems in domains with fine-grained boundaries", Naukova Dumka, Kiev, 1974. | Zbl
- ,[18] "An introduction to r-convergence", Birkhäuser Boston Inc., Boston, MA, 1993. | MR | Zbl
,[19] Wiener criteria and energy decayfor relaxed dirichlet problems, Arch. Rat. Mech. Anal., 86. | Zbl
- ,[20] Some variational aspects of discontinuous media, Boll. Un. Mat. Ital. A (7), 7 (1993), 149-198. | MR | Zbl
,[21] Composite media and asymptotic Dirichlet forms, J. Funct. Anal., 123 (1994), 368-421. | MR | Zbl
,[22] 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
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