Volume 8, 2002
A tribute to JL Lions
|Page(s)||489 - 511|
|Published online||15 August 2002|
Fourier approach to homogenization problems
Departamento de Ingeniería
Matemática, and Centro de Modelamiento Matemático,
Universidad de Chile, Casilla 170/3, Correo-3, Santiago, Chile; firstname.lastname@example.org.
2 IISc-TIFR Mathematics Programme, TIFR Centre, P.O. Box 1234, Bangalore 560 012, India; email@example.com.
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first 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.
Mathematics Subject Classification: 35B27 / 35A25 / 42C30
Key words: Homogenization / Bloch waves / correctors / regularity / spectral problems / vibration problems.
© EDP Sciences, SMAI, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.