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].
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 |