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Séminaire Analyse non linéaire et EDP

Horaires : Le mardi 02 octobre 2012, 11h30-12h30

Lieu : IHP, salle 201

Regularity of non-uniformly elliptic equations in nondivergence form at unit scale

Scott Armstrong (Université Paris-Dauphine)

I will present recent joint work with Charles Smart, in which we prove a Harnack inequality for fully nonlinear elliptic equations in dimension $d$ with possibly unbounded ellipticity-- provided the ellipticity belongs to $L^d$. This yields a stochastic homogenization result for such equations, with applications to random diffusions in (strictly elliptic) random environments.

 

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