A note on nonlinear homogenization

Authors
Caffarelli, LA
Citation
La. Caffarelli, A note on nonlinear homogenization, COM PA MATH, 52(7), 1999, pp. 829-838
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN journal
00103640 → ACNP
Volume
52
Issue
7
Year of publication
1999
Pages
829 - 838
Database
ISI
SICI code
0010-3640(199907)52:7<829:ANONH>2.0.ZU;2-R
Abstract
The purpose of this note is to present the view that, for periodic and mayb e more general (quasi-periodic, random) homogenization, it is natural to se e the limiting problem as a viscosity solution of a nonlinear equation in n ondivergence form, even in the case of nonlinear divergence equations. A re cent, complete book on homogenization is [7].