Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T09:25:34.850Z Has data issue: false hasContentIssue false
  • English
  • Français

On uniform H2-estimates in periodic homogenization

Published online by Cambridge University Press:  12 July 2007

C. Conca  and
M. Vanninathan
C. Conca
Affiliation:
Departamento de Ingeniería Matemática, and CMM, UMR 2071 CNRS-UChile, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile
M. Vanninathan
Affiliation:
IISc-TIFR Mathematics Programme, TIFR Centre, PO Box 1234, Bangalore 560012, India
Get access Rights & Permissions [Opens in a new window]

Abstract

We introduce what are called regular materials for which, by definition, the corresponding solution of the classical periodic homogenization problem remains bounded in . We give examples of two types of such materials depending on whether the coefficients representing them belong to W1,∞ or not. A complete characterization is obtained in the former case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 499 - 517
Copyright
Copyright © Royal Society of Edinburgh 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)