The convergence of the spectrum of a weakly connected domain

Annali di Matematica Pura ed Applicata

Volumn 177, Issue 1, 1999, Pages 1-35

  Briane, Marc ^a,b  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013020760     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/BF02505904     Document Type: Article

References (8)

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2. G. ALLAIRE - F. MURAT, Homogenization of the Neumann problem with nonisolated holes, Asymptotic Analysis, 7 (1993), pp. 81-95.
3. M. BRIANE, Homogenization in some weakly connected domains, Ricerche di Matematica, XLVII, no. 1 (1998), pp. 51-94.
4. D. CIORANESCU - J. Saint Jean PAULIN, Homogenization in open sets with holes, J. Math. Anal. Appl., 71 (1979), pp. 590-607.
5. E. YA. HRUSLOV, The asymptotic behavior of solutions of the second boundary value problems under fragmentation of the boundary of the domain, Maths. USSR Sbornik, 35 no. 2 (1979).
6. F. MURAT, H-convergence, Sdminaire d'Analyse FonctionneUe et Numdrique, 1977-78, Universitéd'Alger. English translation in F. MURAT - L. TARTAR, H-convergence, Topics in the Mathematical Modelling of Composite Materials, A. CHERKAEV - R. KOHN (eds.), Progress in Nonlinear Differential Equations and their Applications, 31, Birkaüser, Boston (1997), pp. 21-43.
7. L. TARTAR, Cours Peccot, Collége de France, 1977, unpublished, partially written in [6].
8. M. VANNINATHAN, SUT quelques probl~mes d'homogénéisation clans les dquations aux ddrivdes partielles, Thése de Doctorat d'Étatés Sciences de l'Université Paris 6 (1979).