Thumbnail - No thumbnail

Quantitative stochastic homogenization of elliptic equations in nondivergence form

Armstrong, Scott N.; Smart, Charles K. (2014), Quantitative stochastic homogenization of elliptic equations in nondivergence form, Archive for Rational Mechanics and Analysis, 214, 3, p. 867-911. http://dx.doi.org/10.1007/s00205-014-0765-6

Type
Article accepté pour publication ou publié
External document link
http://fr.arxiv.org/abs/1306.5340
Date
2014
Journal name
Archive for Rational Mechanics and Analysis
Volume
214
Number
3
Publisher
Springer
Pages
867-911
Publication identifier
Metadata
Show full item record
Author(s)
Armstrong, Scott N.

Smart, Charles K.
Abstract (EN)
We introduce a new method for studying stochastic homogenization of elliptic equations in nondivergence form. The main application is an algebraic error estimate, asserting that deviations from the homogenized limit are at most proportional to a power of the microscopic length scale, assuming a finite range of dependence. The results are new even for linear equations.
Subjects / Keywords
stochastic homogenization; error estimate; fully nonlinear equation