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
TypeArticle accepté pour publication ou publié
External document linkhttp://fr.arxiv.org/abs/1306.5340
Journal nameArchive for Rational Mechanics and Analysis
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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 / Keywordsstochastic homogenization; error estimate; fully nonlinear equation
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