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A note on nonlinear homogenization

✍ Scribed by L. A. Caffarelli

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 288 KB
Volume: 52
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199907)52:7<829::aid-cpa3>3.0.co;2-m

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this note is to present the view that, for periodic and maybe more general (quasi-periodic, random) homogenization, it is natural to see the limiting problem as a viscosity solution of a nonlinear equation in nondivergence form, even in the case of nonlinear divergence equations. A recent, complete book on homogenization is [7].

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