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Some approximation and regularity results for fully nonlinear parabolic equations

  • Jean-Paul Daniel (Université Pierre et Marie Curie, France)
A3 01 (Sophus-Lie room)

Abstract

I will discuss some results on viscosity solutions of fully nonlinear parabolic equations associated to a uniformly elliptic operator. I derive an estimate which provides a lower bound on the Lebesgue measure of the set on which a viscosity solution has a quadratic expansion. I will present two applications: I get a partial regularity theorem, and in a joint work with Scott Armstrong, we also show how this can serve to study the rate of convergence for a broad class of schemes.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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