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Jessica Lin , PMA 10.176: Quantitative Homogenization of the Invariant Measure for Nondivergence Form Elliptic Equations
Wednesday, September 28, 2022, 01:00pm - 02:00pm
In this talk, I will first give an overview of stochastic homogenization for nondivergence form elliptic equations, from both the PDE perspective and the probability perspective. I will then present new quantitative homogenization results on the parabolic Green Function and large-scale averages of the unique, ergodic, mutually absolutely continuous, invariant measure. This invariant measure is a solution of the adjoint equation in doubly divergence form satisfying certain integrability conditions. Time permitting, I will present a large-scale $C^{0,1}$-regularity result for the invariant measure. This talk is based on joint work with Scott Armstrong and Benjamin Fehrman.
Location: PMA 10.176

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