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Stochastic homogenization of elliptic equations. (English) Zbl 1467.35004

Kenig, Carlos E. (ed.) et al., Harmonic analysis and applications. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 27, 131-154 (2020).
Summary: These are notes for a series of lectures given at the IAS/PCMI 2018 graduate summer school. They give a brief introduction to the theory of homogenization of random uniformly elliptic equations in divergence form.
For the entire collection see [Zbl 1455.42001].

MSC:

35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35B65 Smoothness and regularity of solutions to PDEs
35J15 Second-order elliptic equations
35R60 PDEs with randomness, stochastic partial differential equations