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Regularity of degenerate elliptic equations in nondivergence form on large scales

  • Scott Armstrong (CNRS, Paris)
A3 01 (Sophus-Lie room)

Abstract

I will present a regularity result for degenerate elliptic equations in nondivergence form. In joint work with Charlie Smart, we prove a Harnack inequality for equations with possibly unbounded ellipticity-- provided that the ellipticity belongs to $L^d$ (where $d$ is the dimension). As an application we obtain a stochastic homogenization result for such equations (and a new estimate for the effective coefficients) as well as an invariance principle for random diffusions in random environments.

seminar
27.06.24 04.07.24

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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