ESAIM: Control, Optimisation and Calculus of Variations. June 2002, Vol. 8, 489-511
en_US
Identifier
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DOI: 10.1051/cocv:2002048
Identifier
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https://repositorio.uchile.cl/handle/2250/125902
Abstract
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This article is divided into two chapters. The classical problem of homogenization of
elliptic operators with periodically oscillating coe cients is revisited in the rst chapter. Following
a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem,
Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on.
The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems
of periodic structures.