A Functional Analytic Approach to Homogenization Problems

M. Lanza de Cristoforis () and P. Musolino ()
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M. Lanza de Cristoforis: Università degli Studi di Padova, Dipartimento di Matematica
P. Musolino: Università degli Studi di Padova, Dipartimento di Matematica

Chapter Chapter 30 in Integral Methods in Science and Engineering, 2015, pp 353-359 from Springer

Abstract: Abstract This chapter is devoted to the homogenization of boundary value problems in a periodically perforated domain by an approach which is alternative to those of asymptotic analysis and of classical homogenization theory. The domain has a periodic structure, and the size of each cell is determined by a positive parameter δ. The relative size of each periodic perforation is instead determined by a positive parameter ε. We analyze the behavior of a family of solutions as δ and ε degenerate to zero.

Keywords: Dirichlet problem; Singularly perturbed domain; Homogenization; Poisson equation; periodically perforated domain; Real analytic continuation in Banach space. (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_30

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DOI: 10.1007/978-3-319-16727-5_30

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