Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited

We give a simplified presentation of the obstacle problem approach to stochastic homogenization for elliptic equations in nondivergence form. Our argument also applies to equations which depend on the gradient of the unknown function. In the latter case, we overcome difficulties caused by a lack of...

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Bibliographic Details
Main Authors: Armstrong, Scott N (Author), Smart, Charles (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2016-10-19T17:33:51Z.
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Online Access:Get fulltext
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100 1 0 |a Armstrong, Scott N  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Smart, Charles  |e contributor 
700 1 0 |a Smart, Charles  |e author 
245 0 0 |a Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited 
260 |b Springer-Verlag,   |c 2016-10-19T17:33:51Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/104851 
520 |a We give a simplified presentation of the obstacle problem approach to stochastic homogenization for elliptic equations in nondivergence form. Our argument also applies to equations which depend on the gradient of the unknown function. In the latter case, we overcome difficulties caused by a lack of estimates for the first derivatives of approximate correctors by modifying the perturbed test function argument to take advantage of the spreading of the contact set. 
520 |a National Science Foundation (U.S.) (DMS-1004645) 
520 |a National Sicence Foundation (U.S.) (DMS-1004595) 
520 |a Chaire Junior of la Fondation Sciences Mathématiques de Paris 
546 |a en 
655 7 |a Article 
773 |t Calculus of Variations and Partial Differential Equations