Uniform Lipschitz estimates in stochastic homogenization
Armstrong, Scott
Journées équations aux dérivées partielles, (2014), p. 1-11 / Harvested from Numdam
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We review some recent results in quantitative stochastic homogenization for divergence-form, quasilinear elliptic equations. In particular, we are interested in obtaining L ∞ -type bounds on the gradient of solutions and thus giving a demonstration of the principle that solutions of equations with random coefficients have much better regularity (with overwhelming probability) than a general equation with non-constant coefficients.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/jedp.104
Classification:  35B27,  60H25,  35J20,  35J62 
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     author = {Armstrong, Scott},
     title = {Uniform Lipschitz estimates in stochastic homogenization},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2014},
     pages = {1-11},
     doi = {10.5802/jedp.104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2014____A1_0}
}

Armstrong, Scott. Uniform Lipschitz estimates in stochastic homogenization. Journées équations aux dérivées partielles,  (2014), pp. 1-11. doi : 10.5802/jedp.104. http://gdmltest.u-ga.fr/item/JEDP_2014____A1_0/

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